subject:(Semi infinite Rectangular Post)

Indian Institute of Science

1. Umashankar, Viverjita. Edge Effect of Semi-Infinite Rectangular Posts on Impacting Drops.

Degree: MSc Engg, Faculty of Engineering, 2018, Indian Institute of Science

URL: http://etd.iisc.ac.in/handle/2005/3644

► The inhibiting effect of a sharp edge on liquid spreading is well observed during drop interaction with textured surfaces. On groove-textured solid surfaces comprising unidirectional… (more)

▼ The inhibiting effect of a sharp edge on liquid spreading is well observed during drop interaction with textured surfaces. On groove-textured solid surfaces comprising unidirectional parallel grooves, the edge effect of posts results in the squeezing of drop liquid in the direction perpendicular to the grooves and the stretching of drop liquid along the grooves leading to anisotropy in drop flow, popularly known as wetting anisotropy which has been employed in several engineering applications. A recent study observed that the energy loss incurring at the edges of posts via contact angle hysteresis is primarily responsible for the anisotropic spreading of impacting drops on groove-textured surfaces. The present study aims to elucidate the role of edges on the spreading and receding dynamics of water drops. The experiments of drop impact are carried out on semi-infinite rectangular post comprising a pair of parallel 90-deg edges separated by a distance (post width) comparable to the diameter of impacting drop. The equilibrium shape of drops on the semi-infinite rectangular post is analyzed using open source computational tool Surface Evolver to optimize the ratio of initial droplet diameter to post width. Quantitative measurements of drop impact dynamics on semi-infinite rectangular posts are deduced by analysing high speed videos of impact process captured under three different camera views during experiments. Based on the role of post edges on impacting drops, different regimes of the impacting drops are characterized in terms of drop Weber number and the ratio of diameter of impacting drop to post width. Characteristic features of impact dynamics in each of the regimes are identified and discussed. It is seen that edges play a pivotal role on all stages of impact dynamics regardless of Weber number. Impacts in the regime of completely pinned drops on narrow posts are further analyzed to reveal characteristics of post-spreading oscillations. Advisors/Committee Members: Sivakumar, D (advisor).

Subjects/Keywords: Surface Evolver; Liquid Drop Impact Phenomena; Anisotropic Spreading; Interfacial Oscillations; Droplet Impact; Liquid Drop Impact; Semi-infinite Target Surfaces; Liquid Drop Generator; Semi-infinite Rectangular Post; Impact Dynamics; Aerospace Engineering

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APA (6^th Edition):

Umashankar, V. (2018). Edge Effect of Semi-Infinite Rectangular Posts on Impacting Drops. (Masters Thesis). Indian Institute of Science. Retrieved from http://etd.iisc.ac.in/handle/2005/3644

Chicago Manual of Style (16^th Edition):

Umashankar, Viverjita. “Edge Effect of Semi-Infinite Rectangular Posts on Impacting Drops.” 2018. Masters Thesis, Indian Institute of Science. Accessed April 14, 2021. http://etd.iisc.ac.in/handle/2005/3644.

MLA Handbook (7^th Edition):

Umashankar, Viverjita. “Edge Effect of Semi-Infinite Rectangular Posts on Impacting Drops.” 2018. Web. 14 Apr 2021.

Vancouver:

Umashankar V. Edge Effect of Semi-Infinite Rectangular Posts on Impacting Drops. [Internet] [Masters thesis]. Indian Institute of Science; 2018. [cited 2021 Apr 14]. Available from: http://etd.iisc.ac.in/handle/2005/3644.

Council of Science Editors:

Umashankar V. Edge Effect of Semi-Infinite Rectangular Posts on Impacting Drops. [Masters Thesis]. Indian Institute of Science; 2018. Available from: http://etd.iisc.ac.in/handle/2005/3644

University of South Africa

2. Rakhudu, Nnane Franscina. Exploring challenges faced by level 3 National Certificate vocational students in understanding hyperbolic functions in mathematics .

Degree: 2017, University of South Africa

URL: http://hdl.handle.net/10500/23523

► The results of mathematics level 3 have always been a problem at TVET colleges as this hampers the certification rate and the progress of the… (more)

▼ The results of mathematics level 3 have always been a problem at TVET colleges as this hampers the certification rate and the progress of the students to level 4. Students who did not do well in the current subject are not allowed to register that subject in the following level. Even though the students are allowed to progress to level 4 they won’t be certificated for both levels until they pass the remaining subject. The above challenges made the researcher to check during the marking and moderation of November / December examination the course of poor results for mathematics level 3. In the process of checking the researcher discovered that rectangular hyperbola is one of the topics that the students of mathematics level 3 are struggling with. This study therefore focuses on exploring the challenges faced by TVET Level 3 NCV students in understanding the hyperbolic function in mathematics. In addition to the literature review, an empirical investigation based on a qualitative approach and involving semi-structured interviews with the students of a TVET college in North West was conducted to collect data. The analysis of documents relevant to the study was also used as the other method. The study used participatory action research, where the researcher, collaborators and students work alongside each other to collect data and to improve practice and follow the spiral pattern of reflection, analysing the results and adapting the action. The research design and methodology was qualitative. This helped the researcher to understand the challenges students faced in the learning of rectangular hyperbola and also came up with ways to minimise those challenges. The data collection methods used was interviewing using semi-structured questions, pre-test and post-tests. During data collection different interventions (IN1 –IN3) was used depending on the understanding of the students. For ethical consideration, ethical clearance was obtained from UNISA. DHET, the principal of the college, collaborators, parents and students will also give written consent on forms which will be sent out explaining what we envisage. Since research was voluntary, an explanation was given that this was not compulsory and that participation was completely voluntary and that they could withdraw at any time. In this study, various methods to empower students were recommended. Recommendations are also made on what was found in this study, as are recommendations for further study. Advisors/Committee Members: Jojo, Z. M. M (advisor).

Subjects/Keywords: Mathematics; Rectangular hyperbola function; NCV level 3; TVET college; Interventions; Collaborators; Post- test; Pre- test; Semi-structured interview; Lecturers; Students; Table method; Asymptotes; Action research; Participants

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APA (6^th Edition):

Rakhudu, N. F. (2017). Exploring challenges faced by level 3 National Certificate vocational students in understanding hyperbolic functions in mathematics . (Masters Thesis). University of South Africa. Retrieved from http://hdl.handle.net/10500/23523

Chicago Manual of Style (16^th Edition):

Rakhudu, Nnane Franscina. “Exploring challenges faced by level 3 National Certificate vocational students in understanding hyperbolic functions in mathematics .” 2017. Masters Thesis, University of South Africa. Accessed April 14, 2021. http://hdl.handle.net/10500/23523.

MLA Handbook (7^th Edition):

Rakhudu, Nnane Franscina. “Exploring challenges faced by level 3 National Certificate vocational students in understanding hyperbolic functions in mathematics .” 2017. Web. 14 Apr 2021.

Vancouver:

Rakhudu NF. Exploring challenges faced by level 3 National Certificate vocational students in understanding hyperbolic functions in mathematics . [Internet] [Masters thesis]. University of South Africa; 2017. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/10500/23523.

Council of Science Editors:

Rakhudu NF. Exploring challenges faced by level 3 National Certificate vocational students in understanding hyperbolic functions in mathematics . [Masters Thesis]. University of South Africa; 2017. Available from: http://hdl.handle.net/10500/23523

Louisiana State University

3. Rao, Sai Sashankh. Modeling Two-Phase Flow and Heat Transfer in Polygonal Microchannels.

Degree: PhD, Mechanical Engineering, 2015, Louisiana State University

URL: etd-08212015-014524 ; https://digitalcommons.lsu.edu/gradschool_dissertations/1087

► Microfluidics is a burgeoning research area with applications ranging from microfluidic cooling to biomolecule synthesis. Here we study two problems to gain an improved… (more)

▼ Microfluidics is a burgeoning research area with applications ranging from microfluidic cooling to biomolecule synthesis. Here we study two problems to gain an improved understanding of two-phase flow and heat transfer in microfluidic devices. We also study a third problem on boundary layer flow out of theoretical interest. In the first problem, we study the heat and mass transfer in polygonal micro heat pipes under small imposed temperature differences. A micro heat pipe, used in electronics cooling, consists of a closed polygonal microchannel filled with a wetting liquid and a long vapor bubble. We model the evaporation, fluid flow, and heat transfer in these devices to derive an analytic solution that captures their performance in terms of two dimensionless parameters. The solution explains the reason behind their poor performance, and the dimensionless parameters provide a design criterion for the development of more efficient micro heat pipes. We compare our model with four published micro-heat-pipe experiments, and find encouraging support for our design criteria. We have obtained solutions for square, triangular, hexagonal, and rectangular micro heat pipes. In the second problem, we study the motion of long drops in rectangular microchannels at low capillary numbers. As the drop moves it deposits a thin liquid film on the sidewalls of the microchannel. The drag on the drop comes mainly from the shear force exerted by the wall on the thin films surrounding the drop. The drag is balanced by a liquid pressure difference across the drop. We solve for the drag in the limit of zero capillary number and derive a pressure-flow rate relation. We find encouraging comparison between our model and published experimental results. We have obtained solutions for rectangular microchannels with aspect ratios 1, 1.2, 1.5 and 2, each for different drop to carrier liquid viscosity ratios ranging from 0.001 to 100. In the third problem, we study the boundary layer over a semi-infinite flat plate under forced uniform flow at the leading edge. We derive self-similar solutions, to leading order, for the velocity and pressure fields near the leading edge where the Blasius solution does not apply.

Subjects/Keywords: leading edge; regular-polygonal/rectangular microchannels; two-phase flow; micro heat pipe; contact-line evaporation; Nusselt number; thermal boundary layer; slug flow; contact-line drag; boundary layer; semi-infinite flat plate; pressure-flow rate relation

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APA (6^th Edition):

Rao, S. S. (2015). Modeling Two-Phase Flow and Heat Transfer in Polygonal Microchannels. (Doctoral Dissertation). Louisiana State University. Retrieved from etd-08212015-014524 ; https://digitalcommons.lsu.edu/gradschool_dissertations/1087

Chicago Manual of Style (16^th Edition):

Rao, Sai Sashankh. “Modeling Two-Phase Flow and Heat Transfer in Polygonal Microchannels.” 2015. Doctoral Dissertation, Louisiana State University. Accessed April 14, 2021. etd-08212015-014524 ; https://digitalcommons.lsu.edu/gradschool_dissertations/1087.

MLA Handbook (7^th Edition):

Rao, Sai Sashankh. “Modeling Two-Phase Flow and Heat Transfer in Polygonal Microchannels.” 2015. Web. 14 Apr 2021.

Vancouver:

Rao SS. Modeling Two-Phase Flow and Heat Transfer in Polygonal Microchannels. [Internet] [Doctoral dissertation]. Louisiana State University; 2015. [cited 2021 Apr 14]. Available from: etd-08212015-014524 ; https://digitalcommons.lsu.edu/gradschool_dissertations/1087.

Council of Science Editors:

Rao SS. Modeling Two-Phase Flow and Heat Transfer in Polygonal Microchannels. [Doctoral Dissertation]. Louisiana State University; 2015. Available from: etd-08212015-014524 ; https://digitalcommons.lsu.edu/gradschool_dissertations/1087

4. Derebail Muralidhar, Srikanth. Instabilité de l'écoulement le long d'un cylindre semi-infini en rotation : Instability of flow around a rotating, semi-infinite cylinder in an axial stream.

Degree: Docteur es, Mécanique des fluides, 2016, Lyon

URL: http://www.theses.fr/2016LYSEC033

►

Ce travail concerne l’écoulement incompressible et stationnaire autour d’un cylindre semi-infini en rotation, et ses propriétés de stabilité linéaire. L’effet de la courbure et de… (more)

▼

Ce travail concerne l’écoulement incompressible et stationnaire autour d’un cylindre semi-infini en rotation, et ses propriétés de stabilité linéaire. L’effet de la courbure et de la rotation sur la stabilité de cet écoulement est étudié de manière systématique. Avant d’étudier la stabilité, nous calculons d’abord l’écoulement de base. A grand nombre de Reynolds, une couche limite se développe le long du cylindre, ce qui permet d’utiliser l’approximation de couche limite des équations de Navier–Stokes. Ces équations dépendent de deux paramètres de contrôle sans dimension, le nombre de Reynolds (Re) et le taux de rotation (S), et sont résolues numériquement pour obtenir les profils de vitesse et de pression pour une large gamme des paramètres de contrôle. Une couche limite initialement mince s’épaissit avec la distance axiale; ainsi, son épaisseur devient comparable et finalement plus importante que le rayon du cylindre. Au-delà d’un certain taux de rotation, les effets centrifuges conduisent `a un jet de paroi le long d’une portion du cylindre. L’extension axiale de ce jet augmente avec le taux de rotation. L’intensité du jet augmente aussi avec S. Des analyses asymptotiques de l’écoulement à grande distance axiale et à fort taux de rotation sont aussi présentées. L’analyse de stabilité linéaire du précédent écoulement est effectuée dans l’approximation locale. Après une décomposition en modes normaux, les équations des perturbations sont transformées en un problème de valeur propre `a fréquence complexe (ω). Ce problème dépend de cinq paramètres sans dimension: Re, S, la distance axiale normalisée (Z), le nombre d’onde axial (α) et le nombre d’onde azimutal (m). Les équations de stabilité sont résolues numériquement pour étudier les régions instables dans l’espace des paramètres. On observe que de faibles taux de rotation ont un effet important sur la stabilité de l’écoulement. Cette forte déstabilisation est associée à la présence d’un mode quasi-marginal pour le cylindre fixe et qui devient instable pour de petites valeurs de S. Ce phénomène est confirmé par une analyse en perturbation `a petit S. Sans rotation, l’écoulement est stable pour tout Re < 1060, et pour Z > 0.81. Mais, en présence d’une faible rotation, l’instabilité n’est plus limitée par une valeur minimale de Re ou un seuil en Z. Les courbes critiques dans le plan (Z, Re) sont calculées pour une large gamme de S et les conséquences pour la stabilité de l’écoulement discutées. Enfin, un développement asymptotique pour le nombre de Reynolds critique est obtenu, valable aux grandes valeurs de Z.

This work concerns the steady, incompressible flow around a semi-infinite, rotating cylinder and its linear-stability properties. The effect of cylinder curvature and rotation on the stability of this flow is investigated in a systematic manner. Prior to studying its stability, we first compute the basic flow. At large Reynolds numbers, a boundary layer develops along the cylinder. The governing equations are obtained using a boundary-layer approximation to…

Advisors/Committee Members: Scott, Julian (thesis director), Pier, Benoît (thesis director).

Subjects/Keywords: Écoulement incompressible; Cylindre semi-infini en rotation; Incompressible flow; Semi-infinite, rotating cylinder

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Derebail Muralidhar, S. (2016). Instabilité de l'écoulement le long d'un cylindre semi-infini en rotation : Instability of flow around a rotating, semi-infinite cylinder in an axial stream. (Doctoral Dissertation). Lyon. Retrieved from http://www.theses.fr/2016LYSEC033

Chicago Manual of Style (16^th Edition):

Derebail Muralidhar, Srikanth. “Instabilité de l'écoulement le long d'un cylindre semi-infini en rotation : Instability of flow around a rotating, semi-infinite cylinder in an axial stream.” 2016. Doctoral Dissertation, Lyon. Accessed April 14, 2021. http://www.theses.fr/2016LYSEC033.

MLA Handbook (7^th Edition):

Derebail Muralidhar, Srikanth. “Instabilité de l'écoulement le long d'un cylindre semi-infini en rotation : Instability of flow around a rotating, semi-infinite cylinder in an axial stream.” 2016. Web. 14 Apr 2021.

Vancouver:

Derebail Muralidhar S. Instabilité de l'écoulement le long d'un cylindre semi-infini en rotation : Instability of flow around a rotating, semi-infinite cylinder in an axial stream. [Internet] [Doctoral dissertation]. Lyon; 2016. [cited 2021 Apr 14]. Available from: http://www.theses.fr/2016LYSEC033.

Council of Science Editors:

Derebail Muralidhar S. Instabilité de l'écoulement le long d'un cylindre semi-infini en rotation : Instability of flow around a rotating, semi-infinite cylinder in an axial stream. [Doctoral Dissertation]. Lyon; 2016. Available from: http://www.theses.fr/2016LYSEC033

North Carolina State University

5. Ozcam, Burcu. Solving Semi-Infinite Variational Inequalities.

Degree: PhD, Industrial Engineering, 2006, North Carolina State University

URL: http://www.lib.ncsu.edu/resolver/1840.16/4641

► The variational inequality problem arises in numerous contexts. In this dissertation, we consider solving a semi-infinite variational inequality problem, which is a variational inequality problem… (more)

Subjects/Keywords: semi-Infinite; variational inequalities

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Ozcam, B. (2006). Solving Semi-Infinite Variational Inequalities. (Doctoral Dissertation). North Carolina State University. Retrieved from http://www.lib.ncsu.edu/resolver/1840.16/4641

Chicago Manual of Style (16^th Edition):

Ozcam, Burcu. “Solving Semi-Infinite Variational Inequalities.” 2006. Doctoral Dissertation, North Carolina State University. Accessed April 14, 2021. http://www.lib.ncsu.edu/resolver/1840.16/4641.

MLA Handbook (7^th Edition):

Ozcam, Burcu. “Solving Semi-Infinite Variational Inequalities.” 2006. Web. 14 Apr 2021.

Vancouver:

Ozcam B. Solving Semi-Infinite Variational Inequalities. [Internet] [Doctoral dissertation]. North Carolina State University; 2006. [cited 2021 Apr 14]. Available from: http://www.lib.ncsu.edu/resolver/1840.16/4641.

Council of Science Editors:

Ozcam B. Solving Semi-Infinite Variational Inequalities. [Doctoral Dissertation]. North Carolina State University; 2006. Available from: http://www.lib.ncsu.edu/resolver/1840.16/4641

Wayne State University

6. Phan, Hung Minh. New variational principles with applications to optimization theory and algorithms.

Degree: PhD, Mathematics, 2011, Wayne State University

URL: https://digitalcommons.wayne.edu/oa_dissertations/327

► In this dissertation we investigate some applications of variational analysis in optimization theory and algorithms. In the first part we develop new extremal principles… (more)

Subjects/Keywords: extremal principles; multiobjective optimization; Newton's method; semi-infinite programming; Mathematics

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APA (6^th Edition):

Phan, H. M. (2011). New variational principles with applications to optimization theory and algorithms. (Doctoral Dissertation). Wayne State University. Retrieved from https://digitalcommons.wayne.edu/oa_dissertations/327

Chicago Manual of Style (16^th Edition):

Phan, Hung Minh. “New variational principles with applications to optimization theory and algorithms.” 2011. Doctoral Dissertation, Wayne State University. Accessed April 14, 2021. https://digitalcommons.wayne.edu/oa_dissertations/327.

MLA Handbook (7^th Edition):

Phan, Hung Minh. “New variational principles with applications to optimization theory and algorithms.” 2011. Web. 14 Apr 2021.

Vancouver:

Phan HM. New variational principles with applications to optimization theory and algorithms. [Internet] [Doctoral dissertation]. Wayne State University; 2011. [cited 2021 Apr 14]. Available from: https://digitalcommons.wayne.edu/oa_dissertations/327.

Council of Science Editors:

Phan HM. New variational principles with applications to optimization theory and algorithms. [Doctoral Dissertation]. Wayne State University; 2011. Available from: https://digitalcommons.wayne.edu/oa_dissertations/327

RMIT University

7. Ding, M. New development of the inclusive-cone-based method for linear optimization.

Degree: 2014, RMIT University

URL: http://researchbank.rmit.edu.au/view/rmit:160662

► The purpose of this dissertation is to present a simple method for linear optimization including linear programming and linear semi-infinite programming, which is termed â€œthe… (more)

▼ The purpose of this dissertation is to present a simple method for linear optimization including linear programming and linear semi-infinite programming, which is termed â€œthe inclusive-cone-based methodâ€. Using the inclusive cone as an analytic tool, theoretical aspects of linear programming are investigated. Sensitivity analysis in linear programming is examined from the perspective of an inclusive cone. The relationship of inclusiveness between correlated linear programming problems is also studied. New inclusive-cone-based ladder algorithms are proposed to solve linear programming problems in inequality form. Numerical experiments are implemented to show effectiveness and efficiency of the new linear programming ladder algorithms. To start the ladder method for linear programming problems, a single artificial constraint technique is introduced to find an initial ladder. Further, in the context of a new category of linear programming problems, an inclusive-cone-based solvability criterion is established to distinguish that a linear programming problem is inclusive-feasible (i.e., optimal), noninclusive-feasible (i.e., unbounded), inclusive-infeasible or noninclusive-infeasible. The inclusive-cone-based method for linear programming is also generalized to linear semi-infinite programming. An optimality result, based upon the concept of the generalized base point, is established. With this optimality result as a theoretical foundation, a ladder algorithm for solving linear semi-infinite programming problems is developed. The new algorithm has several features: at each iteration it only deals with a small fraction of constraints; at each iteration it selects a constraint most violated along a â€œparameterized centrelineâ€, by solving a one-dimensional global optimization problem using the efficient bridging algorithm; at each iteration the selection of the incoming constraint has a great degree of freedom, which is controlled by a parameter arising in the global optimization problem; it can detect infeasibility and unboundedness after a finite number of iterations; it obviates extra work for feasibility verification as it handles feasibility and optimality simultaneously. A simple convergent result is presented. Numerical behaviour of the algorithm is examined on several test problems.

Subjects/Keywords: Fields of Research; Linear programming; Linear semi-infinite programming; Inclusive cone; Ladder algorithms; Optimality

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APA (6^th Edition):

Ding, M. (2014). New development of the inclusive-cone-based method for linear optimization. (Thesis). RMIT University. Retrieved from http://researchbank.rmit.edu.au/view/rmit:160662

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Ding, M. “New development of the inclusive-cone-based method for linear optimization.” 2014. Thesis, RMIT University. Accessed April 14, 2021. http://researchbank.rmit.edu.au/view/rmit:160662.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Ding, M. “New development of the inclusive-cone-based method for linear optimization.” 2014. Web. 14 Apr 2021.

Vancouver:

Ding M. New development of the inclusive-cone-based method for linear optimization. [Internet] [Thesis]. RMIT University; 2014. [cited 2021 Apr 14]. Available from: http://researchbank.rmit.edu.au/view/rmit:160662.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ding M. New development of the inclusive-cone-based method for linear optimization. [Thesis]. RMIT University; 2014. Available from: http://researchbank.rmit.edu.au/view/rmit:160662

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Mississippi State University

8. Calvert, Velinda Remona. Rational Bernoulli functions for solving problems on unbounded domains.

Degree: PhD, Mathematics and Statistics, 2015, Mississippi State University

URL: http://sun.library.msstate.edu/ETD-db/theses/available/etd-10222015-135217/ ;

► In this dissertation, a new numerical method for solving some problems on the semiinfinite domain is presented. The method is based upon the modified… (more)

Subjects/Keywords: semi-infinite; nonlinear ordinary differential equations; modified rational Bernoulli functions; numerical solution

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APA (6^th Edition):

Calvert, V. R. (2015). Rational Bernoulli functions for solving problems on unbounded domains. (Doctoral Dissertation). Mississippi State University. Retrieved from http://sun.library.msstate.edu/ETD-db/theses/available/etd-10222015-135217/ ;

Chicago Manual of Style (16^th Edition):

Calvert, Velinda Remona. “Rational Bernoulli functions for solving problems on unbounded domains.” 2015. Doctoral Dissertation, Mississippi State University. Accessed April 14, 2021. http://sun.library.msstate.edu/ETD-db/theses/available/etd-10222015-135217/ ;.

MLA Handbook (7^th Edition):

Calvert, Velinda Remona. “Rational Bernoulli functions for solving problems on unbounded domains.” 2015. Web. 14 Apr 2021.

Vancouver:

Calvert VR. Rational Bernoulli functions for solving problems on unbounded domains. [Internet] [Doctoral dissertation]. Mississippi State University; 2015. [cited 2021 Apr 14]. Available from: http://sun.library.msstate.edu/ETD-db/theses/available/etd-10222015-135217/ ;.

Council of Science Editors:

Calvert VR. Rational Bernoulli functions for solving problems on unbounded domains. [Doctoral Dissertation]. Mississippi State University; 2015. Available from: http://sun.library.msstate.edu/ETD-db/theses/available/etd-10222015-135217/ ;

University of Toronto

9. Mar, Philip Allen. Properties and Paradigms of Robust Optimization.

Degree: PhD, 2017, University of Toronto

URL: http://hdl.handle.net/1807/80860

► Robust optimization is a methodology for dealing with uncertainty in optimization problems. In this thesis, we provide a deeper understanding of the properties and paradigms… (more)

▼ Robust optimization is a methodology for dealing with uncertainty in optimization problems. In this thesis, we provide a deeper understanding of the properties and paradigms of robust optimization. We examine the continuity properties of robust optimization problems with respect to their uncertainty sets, and the paradigms of implementation error under a robust optimization framework, both of which arose from questions asked during the application of robust optimization to healthcare problems. We begin with an overview of the robust optimization methodology, starting with a general standard formulation of a robust optimization problem, following with a discussion of a variety of specific well-known robust optimization formulations, and ending with a presentation of some generalizations and extensions of robust optimization. We then present a computational study verifying the effectiveness of an adaptive and robust radiation therapy (ARRT) methodology for treating lung cancer for a class of physically motivated breathing patterns, adding to the results of the original paper which proposed the methodology. Inspired by the convergence properties of the ARRT method, we establish a more general result regarding the continuity of robust optimization with respect to the uncertainty set. In particular, we prove quantitative stability of the optimal value and approximate optimal solution set and the qualitative stability of the optimal solution set, by way of a transformation that links robust linear optimization and linear semi-infinite optimization. Finally, we study the application of robust optimization to network flow problems under implementation error, with applications to manufacturing process flexibility problems. In classical process flexibility literature, it is implicitly assumed that the underlying network flow problem is always implemented perfectly, with most focus being placed on network design in order to ensure responsiveness to demand variation. In contrast, we study the underlying network flow problem, and how feasibility-preserving implementation error on the network flow solutions can be detrimental to performance of certain network designs. We formulate a robust optimization problem with an endogenous uncertainty set to model the system, but ultimately use an auxiliary linear programming problem to generate solutions which, though not provably optimal, are nonetheless generally more robust than standard solutions. Advisors/Committee Members: Chan, Timothy CY, Mechanical and Industrial Engineering.

Subjects/Keywords: Linear semi infinite optimization; Process flexibility; Radiation therapy; Robust optimization; Sensitivity analysis; 0796

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APA (6^th Edition):

Mar, P. A. (2017). Properties and Paradigms of Robust Optimization. (Doctoral Dissertation). University of Toronto. Retrieved from http://hdl.handle.net/1807/80860

Chicago Manual of Style (16^th Edition):

Mar, Philip Allen. “Properties and Paradigms of Robust Optimization.” 2017. Doctoral Dissertation, University of Toronto. Accessed April 14, 2021. http://hdl.handle.net/1807/80860.

MLA Handbook (7^th Edition):

Mar, Philip Allen. “Properties and Paradigms of Robust Optimization.” 2017. Web. 14 Apr 2021.

Vancouver:

Mar PA. Properties and Paradigms of Robust Optimization. [Internet] [Doctoral dissertation]. University of Toronto; 2017. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/1807/80860.

Council of Science Editors:

Mar PA. Properties and Paradigms of Robust Optimization. [Doctoral Dissertation]. University of Toronto; 2017. Available from: http://hdl.handle.net/1807/80860

University of Texas – Austin

10. Thakur, Tapan. Wave motion simulation using spectral elements and a hybrid PML formulation.

Degree: MSin Engineering, Civil Engineering, 2011, University of Texas – Austin

URL: http://hdl.handle.net/2152/ETD-UT-2011-05-3547

► We are concerned with forward wave motion simulations in two-dimensional elastic, heterogeneous, semi-infinite media. We use Perfectly Matched Layers (PMLs) to truncate the semi-infinite extent… (more)

▼ We are concerned with forward wave motion simulations in two-dimensional elastic, heterogeneous, semi-infinite media. We use Perfectly Matched Layers (PMLs) to truncate the semi-infinite extent of the physical domain to arrive at a finite computational domain. We use a recently developed hybrid formulation, where the Navier equations for the interior domain are coupled with a mixed formulation for an unsplit-field PML. Here, we implement the hybrid formulation using spectral elements, and report on its performance. The motivation stems from the following considerations: Of concern is the long-time instability that has been reported even in homogeneous and isotropic cases, when the standard complex-stretching function is used in the PML. The onset of the instability is always within the PML zone, and it manifests as error growth in time. It has been suggested that the instability arises when waves impinge at grazing angle on the PML-interior domain interface. Yet, the instability does not always appear. Furthermore, different values of the various PML parameters (mesh density, attenuation strength, order of attenuation function, etc) can either hinder or delay the onset of the instability. It is thus conjectured that the instability is associated with the spectral properties of the discrete operators. In this thesis, we report numerical results based on both Lagrange interpolants, and results based on spectral elements. Spectral elements are explored since they lead to diagonal mass matrices, have improved dispersion error, and, more importantly, have different spectral properties than Lagrangian-based finite elements. Spectral elements are thus used in an attempt to explore whether the reported instability issues could be alleviated. We design numerical experiments involving explosive sources situated at varying depths from the surface, capable of inducing grazing-angle waves. We use the energy decay as the primary metric for reporting the results of comparisons between various spectral element orders and classical Lagrange interpolants. We also report the results of parametric studies. Overall, it is shown that the spectral elements alone are not capable of removing the instability, though, on occasion, they can. Careful parameterization of the PML could also either remove it or alleviate it. The issue remains open. Advisors/Committee Members: Kallivokas, Loukas F. (advisor), Williamson, Eric B. (committee member).

Subjects/Keywords: Spectral elements; PML; Forward wave motion simulations; Semi-infinite media; Elastic media; Perfectly matched layer

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APA (6^th Edition):

Thakur, T. (2011). Wave motion simulation using spectral elements and a hybrid PML formulation. (Masters Thesis). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/ETD-UT-2011-05-3547

Chicago Manual of Style (16^th Edition):

Thakur, Tapan. “Wave motion simulation using spectral elements and a hybrid PML formulation.” 2011. Masters Thesis, University of Texas – Austin. Accessed April 14, 2021. http://hdl.handle.net/2152/ETD-UT-2011-05-3547.

MLA Handbook (7^th Edition):

Thakur, Tapan. “Wave motion simulation using spectral elements and a hybrid PML formulation.” 2011. Web. 14 Apr 2021.

Vancouver:

Thakur T. Wave motion simulation using spectral elements and a hybrid PML formulation. [Internet] [Masters thesis]. University of Texas – Austin; 2011. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2152/ETD-UT-2011-05-3547.

Council of Science Editors:

Thakur T. Wave motion simulation using spectral elements and a hybrid PML formulation. [Masters Thesis]. University of Texas – Austin; 2011. Available from: http://hdl.handle.net/2152/ETD-UT-2011-05-3547

Indian Institute of Science

11. Koushik, S. Estimation of Stress Concentration and Stress Intensity Factors by a Semi-Analytical Method.

Degree: MSc Engg, Faculty of Engineering, 2018, Indian Institute of Science

URL: http://etd.iisc.ac.in/handle/2005/3632

► The presence of notches or cracks causes stresses to amplify in nearby regions. This phenomenon is studied by estimating the Stress Concentration Factor (SCF) for… (more)

Subjects/Keywords: Stress Concentration Factor (SCF); Stress Intensity Factor (SIF); Semi-Circular Edge Notch; Semi-Infinite Domain; Mechanical Engineering

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APA (6^th Edition):

Koushik, S. (2018). Estimation of Stress Concentration and Stress Intensity Factors by a Semi-Analytical Method. (Masters Thesis). Indian Institute of Science. Retrieved from http://etd.iisc.ac.in/handle/2005/3632

Chicago Manual of Style (16^th Edition):

Koushik, S. “Estimation of Stress Concentration and Stress Intensity Factors by a Semi-Analytical Method.” 2018. Masters Thesis, Indian Institute of Science. Accessed April 14, 2021. http://etd.iisc.ac.in/handle/2005/3632.

MLA Handbook (7^th Edition):

Koushik, S. “Estimation of Stress Concentration and Stress Intensity Factors by a Semi-Analytical Method.” 2018. Web. 14 Apr 2021.

Vancouver:

Koushik S. Estimation of Stress Concentration and Stress Intensity Factors by a Semi-Analytical Method. [Internet] [Masters thesis]. Indian Institute of Science; 2018. [cited 2021 Apr 14]. Available from: http://etd.iisc.ac.in/handle/2005/3632.

Council of Science Editors:

Koushik S. Estimation of Stress Concentration and Stress Intensity Factors by a Semi-Analytical Method. [Masters Thesis]. Indian Institute of Science; 2018. Available from: http://etd.iisc.ac.in/handle/2005/3632

12. Alqasas, Neveen. Membrane Characterization for Linear and Nonlinear Systems: Upstream and Downstream Methods .

Degree: 2016, University of Ottawa

URL: http://hdl.handle.net/10393/34979

► Gas separation with polymer membranes are becoming one of the mainstream separation techniques for a myriad of industrial applications. Membrane technologies are recognized as a… (more)

▼ Gas separation with polymer membranes are becoming one of the mainstream separation techniques for a myriad of industrial applications. Membrane technologies are recognized as a viable and economical unit operation compared to more conventional separation processes. The design and material selection of membrane separation processes depends highly on the transport properties of separated gas molecules within the membrane material. Therefore, to use efficient methods for gas membrane characterization is paramount for the proper design of membrane separation processes. A membrane can be typically characterized by three main properties: permeability, solubility and diffusivity. The permeability of a membrane is the product of its diffusivity and solubility, therefore obtaining two of the three parameters is sufficient to fully characterize a membrane. The time-lag method is one of the oldest and most used gas membrane characterization methods. However, it suffers from various limitations that make the method not applicable for many types of membranes. The focus in this study was to develop new gas membrane characterization techniques that are based on extracting the membrane properties from the upstream gas pressure measurements rather than only from the downstream pressure measurements. It is believed that characterizing the membrane based on the upstream pressure measurements would be highly useful in characterizing barrier materials which are usually difficult to characterize using the conventional time-lag method. Moreover, glassy polymers which are widely used in industry exhibit behavior associated with nonlinear sorption isotherms and, therefore, the conventional time-lag method is incapable of obtaining an accurate estimation of glassy polymer properties. As a result, sorption experiments to generate a sorption isotherm are usually required in addition to permeation experiments to fully characterize glassy polymer membranes. To quantify the errors associated with the conventional time-lag assumptions and to fundamentally comprehend the impact of nonlinearities on the time-lag method, a comprehensive numerical investigation has been undertaken using the finite difference method. The investigation has clearly put in evidence the effect of the various Langmuir parameters on the accuracy of the time lag and on the time required to achieve steady state. This investigation also allowed assessing the errors associated with the usual assumptions made on the boundary conditions in determining the time lag. In this study, three novel gas membrane characterization methods were developed and proposed. Two of the proposed methods are concerned with the characterization of membranes that can be represented with a linear sorption isotherm. These two methods are entirely based on the upstream pressure measurements. The third membrane characterization method that is proposed is based on the dynamic monitoring of both upstream and downstream pressure measurements and is applicable to systems that exhibit a nonlinear isotherm…

Subjects/Keywords: Membrane Characterization; Finite difference numerical modelling; Time-lag method; Upstream pressure measurments; Laminated membranes; Transient diffusion; Laplace Transform; Semi-infinite solid

15 more images…

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APA (6^th Edition):

Alqasas, N. (2016). Membrane Characterization for Linear and Nonlinear Systems: Upstream and Downstream Methods . (Thesis). University of Ottawa. Retrieved from http://hdl.handle.net/10393/34979

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Alqasas, Neveen. “Membrane Characterization for Linear and Nonlinear Systems: Upstream and Downstream Methods .” 2016. Thesis, University of Ottawa. Accessed April 14, 2021. http://hdl.handle.net/10393/34979.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Alqasas, Neveen. “Membrane Characterization for Linear and Nonlinear Systems: Upstream and Downstream Methods .” 2016. Web. 14 Apr 2021.

Vancouver:

Alqasas N. Membrane Characterization for Linear and Nonlinear Systems: Upstream and Downstream Methods . [Internet] [Thesis]. University of Ottawa; 2016. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/10393/34979.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Alqasas N. Membrane Characterization for Linear and Nonlinear Systems: Upstream and Downstream Methods . [Thesis]. University of Ottawa; 2016. Available from: http://hdl.handle.net/10393/34979

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Urbana-Champaign

13. Reich, Jason. Thermodynamics and kinetics of hydrogen storage in magnesium hydride: a theoretical study of catalyst-dopant, defect, and size effects.

Degree: PhD, 0337, 2014, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/46805

► With their high capacity, light-metal hydrides – like MgH2 – remain under scrutiny as reversible H-storage materials. A key question persists: Is there a means… (more)

▼ With their high capacity, light-metal hydrides – like MgH2 – remain under scrutiny as reversible H-storage materials. A key question persists: Is there a means to enhance the hydrogen desorption/adsorption properties of this “simple” hydride by decreasing size (e.g., creating nano-sized particles by ball-milling) and/or adding catalyst dopants? Thus, we need to determine accurately both the enthalpy and kinetic barriers controlling desorption, but for realistic, defected cases. Employing density functional theory (DFT) and simulated annealing, we studied initial H2 desorption from nanoclusters and semi-infinite stepped surfaces with and without transition-metal “catalyst” dopants (Ti or Fe). The large 450-atom supercell of the (110)x(1 ̅10) single stepped terrace permits the study of the effects of catalytic dopant with 10 unique dopant sites at step edges, kinks sites, and terrace sites. Extensive DFT-based simulated annealing studies were performed to find the dopants site preference and mechanism for catalyst-enhanced release of hydrogen, with additional detailed understanding from the spin-polarized electronic-structure (density of states) and charge densities. Different kink environments at the stable (110)x(1 ̅10) interface were explored to model the stability of diffusion of H to the dopant before desorption. For the most stable initial and final (possibly magnetic) states, extensive Nudged Elastic Band (NEB) calculations were performed to explore the potential energy surface (desorption enthalpies and kinetic barriers). A moment transition NEB calculation was created whereby each image was initialized to its most stable magnetic state and then images along the transition path were allowed to relax according to the NEB algorithm. This approach provided the lowest energy activation states. Together the DFT-based simulated annealing and NEB simulations determined the enthalpy change and transition-state (kinetic barrier) for desorption (H2 release to vacuum). Although small nanocluster (we focused on Mg31H62) structures are disordered (amorphous), the semi-infinite surfaces and nanoclusters have similar single, double, and triple H-to-metal bond configurations that yield similar H-desorption energies. Hence, we find that there is no size effect on desorption energetics with reduction in sample size, but dopants (as observed, e.g., Ti) do reduce the energy and kinetic barrier of H2 desorption. Overall, our results compare well with desorption experiments and elucidate the controlling chemistry for doped-MgH2 and its efficacy for use as a storage material. Notably, the same techniques used and developed here can be used for more complex hydrides or hydride reactions. Advisors/Committee Members: Johnson, Duane D. (advisor), Johnson, Duane D. (Committee Chair), Makri, Nancy (committee member), Nuzzo, Ralph G. (committee member), Ceperley, David M. (committee member).

Subjects/Keywords: hydrogen storage; thermodynamics; kinetics; magnesium hydride (MgH2); size effect; hydrogen; H2; desorption; catalysis; magnesium hydride defects; rutile semi-infinite surface; magnesium hydride nanocluster; Mg31H62; nudged elastic band; moment transition nudged elastic band; reversible H-storage; reversible H2 storage; reversible hydrogen storage; density functional theory (DFT); semi-infinite stepped rutile (110) surface; semi-infinite stepped surface; semi-infinite stepped magnesium hydride (MgH2) surface; activation energy; transition state; metal hydride; hydrogen desorption mechanism; H2 desorption mechanism; hydrogen desorption; H2 desorption

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APA (6^th Edition):

Reich, J. (2014). Thermodynamics and kinetics of hydrogen storage in magnesium hydride: a theoretical study of catalyst-dopant, defect, and size effects. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/46805

Chicago Manual of Style (16^th Edition):

Reich, Jason. “Thermodynamics and kinetics of hydrogen storage in magnesium hydride: a theoretical study of catalyst-dopant, defect, and size effects.” 2014. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed April 14, 2021. http://hdl.handle.net/2142/46805.

MLA Handbook (7^th Edition):

Reich, Jason. “Thermodynamics and kinetics of hydrogen storage in magnesium hydride: a theoretical study of catalyst-dopant, defect, and size effects.” 2014. Web. 14 Apr 2021.

Vancouver:

Reich J. Thermodynamics and kinetics of hydrogen storage in magnesium hydride: a theoretical study of catalyst-dopant, defect, and size effects. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2014. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2142/46805.

Council of Science Editors:

Reich J. Thermodynamics and kinetics of hydrogen storage in magnesium hydride: a theoretical study of catalyst-dopant, defect, and size effects. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2014. Available from: http://hdl.handle.net/2142/46805

Addis Ababa University

14. Mikias, Tesfaye. ANALYSIS OF RECTANGULARSUSPENDED SLAB PANELS UNDER PARTIAL RECTANGULAR UNIFORM LOAD .

Degree: 2012, Addis Ababa University

URL: http://etd.aau.edu.et/dspace/handle/123456789/4317

► In structural engineering there are different types of duties; amongst them the analysis part is the most important and crucial part. Because of this it… (more)

▼ In structural engineering there are different types of duties; amongst them the analysis part is the most important and crucial part. Because of this it has been given a great focus. Analysis techniques for most structural elements with different arrangement of externally applied loads are well developed and sufficiently covered with modern analysis theories. Further more, the application of today’s high-speed computers enable the analysis of complex structures with different load arrangements. In addition to these effective analysis tools, building design codes provide table of values and analysis charts for the analysis of different elements of structural systems. As one of the structural element in building structure, different analysis methods were proposed for the analysis of suspended slab panel subjected to uniform rectangular loads. Among the possible arrangement of externally applied loads on suspended slab panel a uniform rectangular load is the one which can best represent the weight of heavy machineries, water tankers, etc. Different simplified analysis methods were proposed to consider the contribution of this load to the design action effects. The current practice of accounting these loads in the analysis of suspended slab panel is to change it to the 'equivalent' uniformly distributed load. The analysis of regular slab panel subjected to uniformly distributed load may be carried out using computer soft wares or using coefficients which are presented in many design codes, the Ethiopian Building Code of Standards for concrete structures, EBCS 2 – 1995 can be one example. These methods analysis need to be investigated whether they can represent the actual load or not. Therefore, as it is important to address this problem, comparative analysis has been carried out. A new simplified method which considers the actual scenario has been developed. This newly proposed method makes use of coefficients derived from the basic principle of elastic analysis of plate. The results have been verified by comparing it with results of the finite element analysis. It enables us to make elastic analysis of suspended slab panel v subjected to the weight of a uniform rectangular load and avoids the uncertain use of approximate methods. Advisors/Committee Members: Girma Zerayohannes (Dr-Ing.) (advisor).

Subjects/Keywords: RECTANGULAR SLAB PANELS; RECTANGULAR UNIFORM

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Mikias, T. (2012). ANALYSIS OF RECTANGULARSUSPENDED SLAB PANELS UNDER PARTIAL RECTANGULAR UNIFORM LOAD . (Thesis). Addis Ababa University. Retrieved from http://etd.aau.edu.et/dspace/handle/123456789/4317

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Mikias, Tesfaye. “ANALYSIS OF RECTANGULARSUSPENDED SLAB PANELS UNDER PARTIAL RECTANGULAR UNIFORM LOAD .” 2012. Thesis, Addis Ababa University. Accessed April 14, 2021. http://etd.aau.edu.et/dspace/handle/123456789/4317.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Mikias, Tesfaye. “ANALYSIS OF RECTANGULARSUSPENDED SLAB PANELS UNDER PARTIAL RECTANGULAR UNIFORM LOAD .” 2012. Web. 14 Apr 2021.

Vancouver:

Mikias T. ANALYSIS OF RECTANGULARSUSPENDED SLAB PANELS UNDER PARTIAL RECTANGULAR UNIFORM LOAD . [Internet] [Thesis]. Addis Ababa University; 2012. [cited 2021 Apr 14]. Available from: http://etd.aau.edu.et/dspace/handle/123456789/4317.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Mikias T. ANALYSIS OF RECTANGULARSUSPENDED SLAB PANELS UNDER PARTIAL RECTANGULAR UNIFORM LOAD . [Thesis]. Addis Ababa University; 2012. Available from: http://etd.aau.edu.et/dspace/handle/123456789/4317

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Delft University of Technology

15. Akkaya, T. On boundary damping for elastic structures.

Degree: 2018, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; urn:NBN:nl:ui:24-uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; c463eef0-2b18-40c4-acfe-cea7399b20ea ; 10.4233/uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; urn:isbn:978-94-6366-005-1 ; urn:NBN:nl:ui:24-uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; http://resolver.tudelft.nl/uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea

► Many mathematical models, which describe oscillations in elastic structures such as suspension bridges, conveyor belts and elevator cables, can be formulated as initial-boundary value problems… (more)

▼ Many mathematical models, which describe oscillations in elastic structures such as suspension bridges, conveyor belts and elevator cables, can be formulated as initial-boundary value problems for string (wave) equations, or for beam equations. In order to build more durable, elegant and lighter mechanical structures, the undesired vibrations can be suppressed by using dampers. In this thesis, the effect of boundary damping on elastic structures is studied. In Chapter 2, as a simple model of oscillations of a cable, a semi-infinite string-like problem is modelled by an initial boundary value problem with (non)-classical boundary conditions. We apply the classical method of D'Alembert to obtain the exact solution which provides information about the efficiency of the damper at the boundary. In Chapter 3, initial-boundary value problems for a beam equation on a semi-infinite interval and on a finite interval have been studied. The method of Laplace transforms is applied to obtain the Greens function for a transversally vibrating homogeneous semi-infinite beam, and the exact solution for various boundary conditions are examined. The analytical results confirm earlier obtained results, and are validated by explicit numerical approximations of the damping and oscillating rates. The study shows that the numerical results approximate the exact results for sufficiently large domain lengths and for a sufficiently high number of modes. Moreover, the study provides an understanding of how the Greens functions for a semi-infinite beam can be computed analytically for (non)-classical boundary conditions. Finally, in Chapter 4 the studies as presented in Chapter 2 and in Chapter 3 are extended to inclined structures. A model is derived to describe the rain-wind induced oscillations of an inclined cable. For a linearly formulated initial-boundary value problem for a tensioned beam equation describing the in-plane transversal oscillations of the cable, the effectiveness of a boundary damper is determined by using a two timescales perturbation method. Not only the influence of boundary damping but also the influence of the bending stiffness on the stability properties of the solution have been studied. Advisors/Committee Members: Heemink, A.W., van Horssen, W.T., Delft University of Technology.

Subjects/Keywords: Semi-infinite String Equations; Semi-Infinite Beam; Boundary Damping; Rain-wind oscillations; Inclined cable

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APA (6^th Edition):

Akkaya, T. (2018). On boundary damping for elastic structures. (Doctoral Dissertation). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; urn:NBN:nl:ui:24-uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; c463eef0-2b18-40c4-acfe-cea7399b20ea ; 10.4233/uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; urn:isbn:978-94-6366-005-1 ; urn:NBN:nl:ui:24-uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; http://resolver.tudelft.nl/uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea

Chicago Manual of Style (16^th Edition):

Akkaya, T. “On boundary damping for elastic structures.” 2018. Doctoral Dissertation, Delft University of Technology. Accessed April 14, 2021. http://resolver.tudelft.nl/uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; urn:NBN:nl:ui:24-uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; c463eef0-2b18-40c4-acfe-cea7399b20ea ; 10.4233/uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; urn:isbn:978-94-6366-005-1 ; urn:NBN:nl:ui:24-uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; http://resolver.tudelft.nl/uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea.

MLA Handbook (7^th Edition):

Akkaya, T. “On boundary damping for elastic structures.” 2018. Web. 14 Apr 2021.

Vancouver:

Akkaya T. On boundary damping for elastic structures. [Internet] [Doctoral dissertation]. Delft University of Technology; 2018. [cited 2021 Apr 14]. Available from: http://resolver.tudelft.nl/uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; urn:NBN:nl:ui:24-uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; c463eef0-2b18-40c4-acfe-cea7399b20ea ; 10.4233/uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; urn:isbn:978-94-6366-005-1 ; urn:NBN:nl:ui:24-uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; http://resolver.tudelft.nl/uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea.

Council of Science Editors:

Akkaya T. On boundary damping for elastic structures. [Doctoral Dissertation]. Delft University of Technology; 2018. Available from: http://resolver.tudelft.nl/uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; urn:NBN:nl:ui:24-uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; c463eef0-2b18-40c4-acfe-cea7399b20ea ; 10.4233/uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; urn:isbn:978-94-6366-005-1 ; urn:NBN:nl:ui:24-uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea ; http://resolver.tudelft.nl/uuid:c463eef0-2b18-40c4-acfe-cea7399b20ea

Cape Peninsula University of Technology

16. Burger, Johannes Hendrik. Non-Newtonian open channel flow: the effect of shape .

Degree: 2014, Cape Peninsula University of Technology

URL: http://etd.cput.ac.za/handle/20.500.11838/1296

► Open channels, flumes or launders are used in the mining industry to transport slurries during processing and to disposal sites. Water plays a major part… (more)

▼ Open channels, flumes or launders are used in the mining industry to transport slurries during processing and to disposal sites. Water plays a major part in the makeup of these slurries, its usage and availability is critical in countries where there are strict water usage management programs. The optimisation of flume design involves the maximisation of solids transport efficiency whilst, at the same time reduces water usage. The design of open channels is complex as it is dependent on both the slurry rheology and the channel shape. Very little has been reported in the literature for predicting non-Newtonian laminar flow in open channels of arbitrary cross-section. The only method available was that proposed by Kozicki and Tiu (1967, 1986). The shape factors they used were those evaluated from analytical solutions for flow of Newtonian fluids in open channels of the same cross-section. However, they carried out no experimental work to validate their model. Few experimental studies have been made on the effect of shape on non-Newtonian flow in open channels. Naik (1983) tested kaolin in water suspensions in a rectangular channel. Coussot (1994) provided some data for the flow of a Herschel-Bulkley fluid in rectangular and trapezoidal channels. Fitton (2007; 2008) obtained data for flow of three different non-Newtonian fluids (carboxymethylcellulose, carbopol and thickened tailings) in a semi-circular channel. A large experimental database for non-Newtonian flow in rectangular open channels was published by Haldenwang (2003) at the Flow Process Research Centre, Cape Peninsula University of Technology. Guang et al. (2011) performed Direct Numerical Simulations of turbulent flow of a yield- pseudoplastic fluid in a semi-circular channel. They compared their simulations with actual field measurements and found them to over-predict the flow velocity by approximately 40%. The source for this discrepancy was difficult to ascertain. A comprehensive database was compiled during this research of the flow of three non–Newtonian fluids in rectangular, trapezoidal, semi-circular and triangular channels. The flow of carboxymethylcellulose solutions and aqueous kaolin and bentonite suspensions was investigated in a 10 meter long flume at angles ranging from 1° to 5° from the horizontal plane. The effect of channel shape on the friction factor-Reynolds number relationship for laminar and turbulent open channel flow of these three fluids was investigated. New models for the prediction of laminar and turbulent flow of non-Newtonian fluids in open channels of different cross-sectional shapes are proposed. The new laminar and turbulent velocity models are compared with three previously-published velocity models for laminar flow and five previously-published velocity models for turbulent flow using average velocity as comparison criteria. For each channel shape, the laminar flow data can be described by a general relationship, f = K/Re where f is the Fanning friction factor and Re is the appropriate Haldenwang et al. (2002) Reynolds…

Subjects/Keywords: Fluid mechanics; Non-Newtonian fluids; Laminar flow; Turbulent flow; Rectangular open channels; Semi-circular open channels; Trapezoidal open channels; Triangular open channels

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Burger, J. H. (2014). Non-Newtonian open channel flow: the effect of shape . (Thesis). Cape Peninsula University of Technology. Retrieved from http://etd.cput.ac.za/handle/20.500.11838/1296

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Burger, Johannes Hendrik. “Non-Newtonian open channel flow: the effect of shape .” 2014. Thesis, Cape Peninsula University of Technology. Accessed April 14, 2021. http://etd.cput.ac.za/handle/20.500.11838/1296.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Burger, Johannes Hendrik. “Non-Newtonian open channel flow: the effect of shape .” 2014. Web. 14 Apr 2021.

Vancouver:

Burger JH. Non-Newtonian open channel flow: the effect of shape . [Internet] [Thesis]. Cape Peninsula University of Technology; 2014. [cited 2021 Apr 14]. Available from: http://etd.cput.ac.za/handle/20.500.11838/1296.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Burger JH. Non-Newtonian open channel flow: the effect of shape . [Thesis]. Cape Peninsula University of Technology; 2014. Available from: http://etd.cput.ac.za/handle/20.500.11838/1296

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

17. David, Antoine. Étude des vibrations des réseaux de transport de gaz dans l'industrie de l'aluminium : Vibration study of gas transport ductwork in the aluminium industry.

Degree: Docteur es, Mécanique Avancée, 2016, Compiègne

URL: http://www.theses.fr/2016COMP2277

►

Les gaines rectangulaires utilisées dans les réseaux de transport de gaz, notamment dans l'industrie de l'aluminium, sont soumises à des excitations provenant du flux s'écoulant… (more)

▼

Les gaines rectangulaires utilisées dans les réseaux de transport de gaz, notamment dans l'industrie de l'aluminium, sont soumises à des excitations provenant du flux s'écoulant à l'intérieur. Ce travail de thèse vise à comprendre quels sont les phénomènes impliqués dans la vibration des gaines rectangulaires de transport de gaz. Dans un premier temps nous présentons un modèle semi-analytique de gaine rectangulaire homogène basé sur le couplage de 4 plaques. Cette modélisation nous permet ainsi de définir les caractéristiques modales de la gaine. Ce modèle a été validé expérimentalement et numériquement par un code élément-finis. Dans un second temps, nous appliquons diverses excitations aérodynamiques et aéroacoustiques à notre gaine afin de déterminer quelles sont les contributions prépondérantes. Les comparaisons entre les résultats numériques et expérimentaux dans le cas d'un écoulement en gaine droite montrent que les contributions aéroacoustiques sont prépondérantes. Les mêmes tendances ressortent lors d'essais dans des configurations en coude, sauf à proximité de celui-ci où les sources aérodynamiques sont également importantes. Pour finir, nous appliquons ces recherches à une gaine rectangulaire utilisées dans l'industrie de l'aluminium. Nous constatons que le modèle que nous avons développé permet d'obtenir des tendances sur la réponse vibratoire de la gaine et met de nouveau en avant l'importance des contributions de type aéroacoustiques. Des pistes de réduction des niveaux vibratoires sont explorées et notamment celles de l'impact des paramètres géométriques de la structure.

Rectangular duct used for gas transport ductwork, especially in the aluminium industry, are excited by the internal flow. This thesis seeks to understand what are the phenomena involved in the vibration of the gaz transport ductwork. Firstly, we present a semi-analytical model of a homogeneous rectangular duct based on the coupling of 4 plates. This modeling allow us to define the duct modal characteristics and is validated by using both experimental and numerical (FEM) ways. Secondly, we applied aeroacoustic and aerodynamic excitations to our duct in order to determine which are the main contributions. Comparisons between numerical and experimental results, in the case of a straight duct highlight that aeroacoustic sources are predominant. The same trends are found with a bend configuration with few changes close to the band where aerodynamic sources seems to be predominant also. Finally, we apply our model to a large rectangular duct used in the aluminium industry. We note that the model gives good trends and highlights again the importance of the aeroacoustic contributions. Some reflexions about how to reduce the vibration levels by changing geometrical parameters are given at the end.

Advisors/Committee Members: Dauchez, Nicolas (thesis director).

Subjects/Keywords: Gaine rectangulaire; Écoulement turbulent; Sources aéroacoustiques; Couche limite turbulente; Modélisation semi-analytique; Rectangular duct; Turbulent flow; Aeroacoustic sources; Turbulent boundary layer; Fluid mechanics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

David, A. (2016). Étude des vibrations des réseaux de transport de gaz dans l'industrie de l'aluminium : Vibration study of gas transport ductwork in the aluminium industry. (Doctoral Dissertation). Compiègne. Retrieved from http://www.theses.fr/2016COMP2277

Chicago Manual of Style (16^th Edition):

David, Antoine. “Étude des vibrations des réseaux de transport de gaz dans l'industrie de l'aluminium : Vibration study of gas transport ductwork in the aluminium industry.” 2016. Doctoral Dissertation, Compiègne. Accessed April 14, 2021. http://www.theses.fr/2016COMP2277.

MLA Handbook (7^th Edition):

David, Antoine. “Étude des vibrations des réseaux de transport de gaz dans l'industrie de l'aluminium : Vibration study of gas transport ductwork in the aluminium industry.” 2016. Web. 14 Apr 2021.

Vancouver:

David A. Étude des vibrations des réseaux de transport de gaz dans l'industrie de l'aluminium : Vibration study of gas transport ductwork in the aluminium industry. [Internet] [Doctoral dissertation]. Compiègne; 2016. [cited 2021 Apr 14]. Available from: http://www.theses.fr/2016COMP2277.

Council of Science Editors:

David A. Étude des vibrations des réseaux de transport de gaz dans l'industrie de l'aluminium : Vibration study of gas transport ductwork in the aluminium industry. [Doctoral Dissertation]. Compiègne; 2016. Available from: http://www.theses.fr/2016COMP2277

NSYSU

18. Wang, Tui-En. An inverse nodal problem on semi-infinite intervals.

Degree: Master, Applied Mathematics, 2006, NSYSU

URL: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0707106-122050

► The inverse nodal problem is the problem of understanding the potential function of the Sturm-Liouville operator from the set of the nodal data ( zeros… (more)

Subjects/Keywords: inverse nodal problem; semi-infinite interval; reconstruction; Parseval's equation; singular Sturm-Liouville operator

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APA (6^th Edition):

Wang, T. (2006). An inverse nodal problem on semi-infinite intervals. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0707106-122050

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Wang, Tui-En. “An inverse nodal problem on semi-infinite intervals.” 2006. Thesis, NSYSU. Accessed April 14, 2021. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0707106-122050.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Wang, Tui-En. “An inverse nodal problem on semi-infinite intervals.” 2006. Web. 14 Apr 2021.

Vancouver:

Wang T. An inverse nodal problem on semi-infinite intervals. [Internet] [Thesis]. NSYSU; 2006. [cited 2021 Apr 14]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0707106-122050.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Wang T. An inverse nodal problem on semi-infinite intervals. [Thesis]. NSYSU; 2006. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0707106-122050

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

19. Koehler, Daniel. The dual boundary element method applied to semi-infinite surface cracks in two-dimensions.

Degree: MS, 0133, 2015, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/72883

► The goal of his thesis is to evaluate the stress intensity factors (SIF) for surface cracks in semi-infinite solids via the DBEM. We first detail… (more)

Subjects/Keywords: Dual Boundary Element Method; semi-infinite edge cracks; hypersingular integration

…of a point load in an infinite domain, i.e. Kelvin’s solution, applied to Betti’s… …ERR for two-dimensional mixed mode fracture problems, which can be accomplished as a post… …is the semi-circle of radius centered at point y and S is the remainder of the boundary… …given by ∂Ω = Sc+ ∪ Sc− ∪ S 0 . 1 t∞ S' S+ S- x2 S' x1 t∞ Figure 3: Semi… …infinite edge crack. As stated previously, the discretization of the BIE over the two crack faces…

10 more images…

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APA (6^th Edition):

Koehler, D. (2015). The dual boundary element method applied to semi-infinite surface cracks in two-dimensions. (Thesis). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/72883

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Koehler, Daniel. “The dual boundary element method applied to semi-infinite surface cracks in two-dimensions.” 2015. Thesis, University of Illinois – Urbana-Champaign. Accessed April 14, 2021. http://hdl.handle.net/2142/72883.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Koehler, Daniel. “The dual boundary element method applied to semi-infinite surface cracks in two-dimensions.” 2015. Web. 14 Apr 2021.

Vancouver:

Koehler D. The dual boundary element method applied to semi-infinite surface cracks in two-dimensions. [Internet] [Thesis]. University of Illinois – Urbana-Champaign; 2015. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2142/72883.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Koehler D. The dual boundary element method applied to semi-infinite surface cracks in two-dimensions. [Thesis]. University of Illinois – Urbana-Champaign; 2015. Available from: http://hdl.handle.net/2142/72883

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Wake Forest University

20. Ortega, Alejandra Marie. From Text to Tech: Theorizing Changing Experimental Narrative Structures.

Degree: 2015, Wake Forest University

URL: http://hdl.handle.net/10339/57184

► It is my objective with this thesis to examine the relation between form and content in the experimental post-modern American text. I seek to redefine… (more)

Subjects/Keywords: bioshock infinite

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APA (6^th Edition):

Ortega, A. M. (2015). From Text to Tech: Theorizing Changing Experimental Narrative Structures. (Thesis). Wake Forest University. Retrieved from http://hdl.handle.net/10339/57184

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Ortega, Alejandra Marie. “From Text to Tech: Theorizing Changing Experimental Narrative Structures.” 2015. Thesis, Wake Forest University. Accessed April 14, 2021. http://hdl.handle.net/10339/57184.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Ortega, Alejandra Marie. “From Text to Tech: Theorizing Changing Experimental Narrative Structures.” 2015. Web. 14 Apr 2021.

Vancouver:

Ortega AM. From Text to Tech: Theorizing Changing Experimental Narrative Structures. [Internet] [Thesis]. Wake Forest University; 2015. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/10339/57184.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ortega AM. From Text to Tech: Theorizing Changing Experimental Narrative Structures. [Thesis]. Wake Forest University; 2015. Available from: http://hdl.handle.net/10339/57184

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Delft University of Technology

21. Cabot Talens, E. (author). Semi-analytical solutions for buckling and post-buckling of composite plates: Application to stiffened Panels.

Degree: 2016, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:deb7f375-e5ae-4711-8b1f-41153444d5b5

►

This MSc thesis addresses the study of buckling and post-buckling of composite plates with elastic restraints at the edges and under any combination of in-plane… (more)

▼

This MSc thesis addresses the study of buckling and post-buckling of composite plates with elastic restraints at the edges and under any combination of in-plane loading, aiming to solve the plate response in stiffened panel structures. The implemented solutions are based on thin plate theory for mid-plane symmetric plates. The governing equations are solved using a semi-analytical formulation (not closed form) to combine advantages from analytical and numerical analysis. This approach allows to solve most of the typical laminates used in aerospace applications while allowing an improved performance when compared to FE models. The developed formulation relies on eigenbeam functions to approximate the plate behaviour for any combination of arbitrary elastic restrains, with a minimum number of degrees of freedom. This approach has proved to be able to reproduce the buckling mode and load for buckling and the out-of-plane displacement for post-buckling. The results obtained have been verified against FE commercial software package Abaqus and good to excellent agreement has been achieved using a fraction of the computational power. The relation between the ideal torsional springs and stiffeners’ restrain is approximated in order to apply the developed formulations to more practical problems involving stiffened panels. Preliminary verifications show the validity of the proposed approaches and encourages the further development of the solution to achieve a more powerful stiffened panel formulation. Moreover, the developed approaches can be extended to solve other relevant stability phenomena such as global buckling or stiffener crippling. This work is part of a Fokker Aerostructures project to develop an analytical framework for analysis and design of composite stiffened panels with post-buckling capabilities. This framework will facilitate the preliminary design of composite stiffened structures and allow further optimization without requiring the prohibitive computational cost and complexity of finite element models.

Aerospace Engineering

Aerospace Structures and Computational Mechanics

Advisors/Committee Members: Kassapoglou, K. (mentor).

Subjects/Keywords: buckling; post-buckling; plates; semi-analytical; composite laminates; combined loading; rotationally-restrained; stiffened panels

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Cabot Talens, E. (. (2016). Semi-analytical solutions for buckling and post-buckling of composite plates: Application to stiffened Panels. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:deb7f375-e5ae-4711-8b1f-41153444d5b5

Chicago Manual of Style (16^th Edition):

Cabot Talens, E (author). “Semi-analytical solutions for buckling and post-buckling of composite plates: Application to stiffened Panels.” 2016. Masters Thesis, Delft University of Technology. Accessed April 14, 2021. http://resolver.tudelft.nl/uuid:deb7f375-e5ae-4711-8b1f-41153444d5b5.

MLA Handbook (7^th Edition):

Cabot Talens, E (author). “Semi-analytical solutions for buckling and post-buckling of composite plates: Application to stiffened Panels.” 2016. Web. 14 Apr 2021.

Vancouver:

Cabot Talens E(. Semi-analytical solutions for buckling and post-buckling of composite plates: Application to stiffened Panels. [Internet] [Masters thesis]. Delft University of Technology; 2016. [cited 2021 Apr 14]. Available from: http://resolver.tudelft.nl/uuid:deb7f375-e5ae-4711-8b1f-41153444d5b5.

Council of Science Editors:

Cabot Talens E(. Semi-analytical solutions for buckling and post-buckling of composite plates: Application to stiffened Panels. [Masters Thesis]. Delft University of Technology; 2016. Available from: http://resolver.tudelft.nl/uuid:deb7f375-e5ae-4711-8b1f-41153444d5b5

22. Doumbé Bangola, Brice Landry. Étude de modèles de champ de phase de type Caginalp : Study of Caginalp type phase-field models.

Degree: Docteur es, Mathématiques et leurs applications, 2013, Poitiers

URL: http://www.theses.fr/2013POIT2260

►

Ce rapport de thèse est consacré à l'étude de modèles de champ de phase de type Caginalp. Nous considérons ici, deux modèles : le premier… (more)

▼

Ce rapport de thèse est consacré à l'étude de modèles de champ de phase de type Caginalp. Nous considérons ici, deux modèles : le premier étant une généralisation du modèle de champ de phase de Caginalp basée sur une généralisation de la loi de Maxwell-Cattaneo et le second une généralisation provenant de la théorie de la conduction de chaleur introduite par Chen et Gurtin. L'étude du premier modèle est faite aussi bien dans un domaine borné (avec un potentiel régulier puis dans le cas d'un potentiel non régulier), que dans un domaine non borné, en l'occurrence R3. Le second modèle est un problème de champ de phase avec un couplage (linéaire et non linéaire). Tout d'abord, l'existence, l'unicité et la régularité des solutions sont analysées aux moyens d'arguments classiques. Ensuite, l'existence d'ensembles bornés absorbants et compacts attractifs est établie, assurant ainsi l'existence de l'attracteur global. Enfin, dans certains cas, l'existence d'attracteurs exponentiels, ainsi que le comportement spatial des solutions lorsque le domaine spatial est un cylindre semi-infini tri-dimensionnel, sont analysés.

This thesis report is dedicated to the study of Caginalp type phase-field Models. Here, we consider two models: the first one being a generalization of the field phase Caginalp based on a generalization of the Maxwell-Cattaneo law and the second one coming from the theory of heat conduction involving two temperatures. We study the first model in bounded (with regular and irregular potentials) and unbounded (i.e. R3) domains. The second model is a phase-field one with coupling term (linear and nonlinear). Firstly, the existence, uniqueness and regularity of solutions are analyzed by means of classical arguments. Secondly, the existence of bounded absorbing sets and attractive compact is established. Such results ensures the existence of the global attractor. Finally, in some cases, the existence of exponential attractors, as well as the spatial behavior of solutions when the spatial domain is a three-dimensional semi-infinite cylinder, are analyzed.

Advisors/Committee Members: Miranville, Alain (thesis director).

Subjects/Keywords: Système de Caginalp; Loi de Maxwell-Cattaneo; Dissipativité; Comportementasymptotique des solutions; Comportement spatial des solutions; Cylindre semi-infini; Attracteur global; Attracteur exponentiel; Caginalp system; Maxwell-Cattaneo law; Well posedness; Dissipativity; Long time behavior of solutions; Spatial behavior of solutions; Semi-infinite cylinder; Global attractor; Exponential attractor; 517.95

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Doumbé Bangola, B. L. (2013). Étude de modèles de champ de phase de type Caginalp : Study of Caginalp type phase-field models. (Doctoral Dissertation). Poitiers. Retrieved from http://www.theses.fr/2013POIT2260

Chicago Manual of Style (16^th Edition):

Doumbé Bangola, Brice Landry. “Étude de modèles de champ de phase de type Caginalp : Study of Caginalp type phase-field models.” 2013. Doctoral Dissertation, Poitiers. Accessed April 14, 2021. http://www.theses.fr/2013POIT2260.

MLA Handbook (7^th Edition):

Doumbé Bangola, Brice Landry. “Étude de modèles de champ de phase de type Caginalp : Study of Caginalp type phase-field models.” 2013. Web. 14 Apr 2021.

Vancouver:

Doumbé Bangola BL. Étude de modèles de champ de phase de type Caginalp : Study of Caginalp type phase-field models. [Internet] [Doctoral dissertation]. Poitiers; 2013. [cited 2021 Apr 14]. Available from: http://www.theses.fr/2013POIT2260.

Council of Science Editors:

Doumbé Bangola BL. Étude de modèles de champ de phase de type Caginalp : Study of Caginalp type phase-field models. [Doctoral Dissertation]. Poitiers; 2013. Available from: http://www.theses.fr/2013POIT2260

23. Gauthier, Bertrand. Approche spectrale pour l’interpolation à noyaux et positivité conditionnelle : Spectral approach for kernel-based interpolation and conditional positivity.

Degree: Docteur es, Mathématiques appliquées, 2011, Saint-Etienne, EMSE

URL: http://www.theses.fr/2011EMSE0615

►

Nous proposons une approche spectrale permettant d'aborder des problèmes d'interpolation à noyaux dont la résolution numérique n'est pas directement envisageable. Un tel cas de figure… (more)

▼

Nous proposons une approche spectrale permettant d'aborder des problèmes d'interpolation à noyaux dont la résolution numérique n'est pas directement envisageable. Un tel cas de figure se produit en particulier lorsque le nombre de données est infini. Nous considérons dans un premier temps le cadre de l'interpolation optimale dans les sous-espaces hilbertiens. Pour un problème donné, un opérateur intégral est défini à partir du noyau sous-jacent et d'une paramétrisation de l'ensemble des données basée sur un espace mesuré. La décomposition spectrale de l'opérateur est utilisée afin d'obtenir une formule de représentation pour l'interpolateur optimal et son approximation est alors rendu possible par troncature du spectre. Le choix de la mesure induit une fonction d'importance sur l'ensemble des données qui se traduit, en cas d'approximation, par une plus ou moins grande précision dans le rendu des données. Nous montrons à titre d'exemple comment cette approche peut être utilisée afin de rendre compte de contraintes de type "conditions aux limites" dans les modèles d'interpolation à noyaux. Le problème du conditionnement des processus gaussiens est également étudié dans ce contexte. Nous abordons enfin dans la dernière partie de notre manuscrit la notion de noyaux conditionnellement positifs. Nous proposons la définition générale de noyaux symétriques conditionnellement positifs relatifs à une espace de référence donné et développons la théorie des sous-espaces semi-hilbertiens leur étant associés. Nous étudions finalement la théorie de l'interpolation optimale dans cette classe d'espaces.

We propose a spectral approach for the resolution of kernel-based interpolation problems of which numerical solution can not be directly computed. Such a situation occurs in particular when the number of data is infinite. We first consider optimal interpolation in Hilbert subspaces. For a given problem, an integral operator is defined from the underlying kernel and a parameterization of the data set based on a measurable space. The spectral decomposition of the operator is used in order to obtain a representation formula for the optimal interpolator and spectral truncation allows its approximation. The choice of the measure on the parameters space introduces a hierarchy onto the data set which allows a tunable precision of the approximation. As an example, we show how this methodology can be used in order to enforce boundary conditions in kernel-based interpolation models. The Gaussian processes conditioning problem is also studied in this context. The last part of this thesis is devoted to the notion of conditionally positive kernels. We propose a general definition of symmetric conditionally positive kernels relative to a given space and exposed the associated theory of semi-Hilbert subspaces. We finally study the optimal interpolation problem in such spaces.

Advisors/Committee Members: Carraro, Laurent (thesis director).

Subjects/Keywords: Méthodes d’interpolation à noyaux; Interpolation optimale; Processus gaussiens; Conditionnement; RKHS; Sous-espaces hilbertiens et semi-hilbertiensent positifs; Opérateurs intégraux; Krigeage; Ensemble infini de donnéesns et semi-hilbertiens; Conditions aux limites; Noyaux conditionnellement positifs; Kernel-based interpolation; Optimal interpolation; Gaussian processes; Conditioning; RKHS; Hilbert and semi-Hilbert subspaces; Integral operators; Kriging; Infinite data set; Boundary conditions; Conditionally positive kernels

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APA (6^th Edition):

Gauthier, B. (2011). Approche spectrale pour l’interpolation à noyaux et positivité conditionnelle : Spectral approach for kernel-based interpolation and conditional positivity. (Doctoral Dissertation). Saint-Etienne, EMSE. Retrieved from http://www.theses.fr/2011EMSE0615

Chicago Manual of Style (16^th Edition):

Gauthier, Bertrand. “Approche spectrale pour l’interpolation à noyaux et positivité conditionnelle : Spectral approach for kernel-based interpolation and conditional positivity.” 2011. Doctoral Dissertation, Saint-Etienne, EMSE. Accessed April 14, 2021. http://www.theses.fr/2011EMSE0615.

MLA Handbook (7^th Edition):

Gauthier, Bertrand. “Approche spectrale pour l’interpolation à noyaux et positivité conditionnelle : Spectral approach for kernel-based interpolation and conditional positivity.” 2011. Web. 14 Apr 2021.

Vancouver:

Gauthier B. Approche spectrale pour l’interpolation à noyaux et positivité conditionnelle : Spectral approach for kernel-based interpolation and conditional positivity. [Internet] [Doctoral dissertation]. Saint-Etienne, EMSE; 2011. [cited 2021 Apr 14]. Available from: http://www.theses.fr/2011EMSE0615.

Council of Science Editors:

Gauthier B. Approche spectrale pour l’interpolation à noyaux et positivité conditionnelle : Spectral approach for kernel-based interpolation and conditional positivity. [Doctoral Dissertation]. Saint-Etienne, EMSE; 2011. Available from: http://www.theses.fr/2011EMSE0615

Arizona State University

24. Sharma, Ankush. Shape Factors for the Pseudo-Steady State Flow in Fractured Hydrocarbon Wells of Various Drainage Area Geometries.

Degree: Chemical Engineering, 2017, Arizona State University

URL: http://repository.asu.edu/items/44991

Subjects/Keywords: Petroleum engineering; Chemical engineering; Mechanical engineering; fractured Vertical well; Psuedo Steady State Flow; rectangular; Semi Steady State; Shape Factor; square

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APA (6^th Edition):

Sharma, A. (2017). Shape Factors for the Pseudo-Steady State Flow in Fractured Hydrocarbon Wells of Various Drainage Area Geometries. (Masters Thesis). Arizona State University. Retrieved from http://repository.asu.edu/items/44991

Chicago Manual of Style (16^th Edition):

Sharma, Ankush. “Shape Factors for the Pseudo-Steady State Flow in Fractured Hydrocarbon Wells of Various Drainage Area Geometries.” 2017. Masters Thesis, Arizona State University. Accessed April 14, 2021. http://repository.asu.edu/items/44991.

MLA Handbook (7^th Edition):

Sharma, Ankush. “Shape Factors for the Pseudo-Steady State Flow in Fractured Hydrocarbon Wells of Various Drainage Area Geometries.” 2017. Web. 14 Apr 2021.

Vancouver:

Sharma A. Shape Factors for the Pseudo-Steady State Flow in Fractured Hydrocarbon Wells of Various Drainage Area Geometries. [Internet] [Masters thesis]. Arizona State University; 2017. [cited 2021 Apr 14]. Available from: http://repository.asu.edu/items/44991.

Council of Science Editors:

Sharma A. Shape Factors for the Pseudo-Steady State Flow in Fractured Hydrocarbon Wells of Various Drainage Area Geometries. [Masters Thesis]. Arizona State University; 2017. Available from: http://repository.asu.edu/items/44991

Anna University

25. Manisekar R. A study on ultimate flexural Behaviour of RC beams strengthened By external prestressing;.

Degree: A study on ultimate flexural Behaviour of RC beams strengthened By external prestressing, 2015, Anna University

URL: http://shodhganga.inflibnet.ac.in/handle/10603/33118

►

External prestressing is being successfully used for strengthening newlineexisting distressed concrete bridges Concrete beams new beams prestressed newlinewith external tendons are analytically treated as beams… (more)

Subjects/Keywords: Concrete beams; Rectangular RC beams

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APA (6^th Edition):

R, M. (2015). A study on ultimate flexural Behaviour of RC beams strengthened By external prestressing;. (Thesis). Anna University. Retrieved from http://shodhganga.inflibnet.ac.in/handle/10603/33118

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

R, Manisekar. “A study on ultimate flexural Behaviour of RC beams strengthened By external prestressing;.” 2015. Thesis, Anna University. Accessed April 14, 2021. http://shodhganga.inflibnet.ac.in/handle/10603/33118.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

R, Manisekar. “A study on ultimate flexural Behaviour of RC beams strengthened By external prestressing;.” 2015. Web. 14 Apr 2021.

Vancouver:

R M. A study on ultimate flexural Behaviour of RC beams strengthened By external prestressing;. [Internet] [Thesis]. Anna University; 2015. [cited 2021 Apr 14]. Available from: http://shodhganga.inflibnet.ac.in/handle/10603/33118.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

R M. A study on ultimate flexural Behaviour of RC beams strengthened By external prestressing;. [Thesis]. Anna University; 2015. Available from: http://shodhganga.inflibnet.ac.in/handle/10603/33118

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Ontario Institute of Technology

26. Omer, Ahmed. Passive methods for suppressing acoustic resonance excitation in shallow rectangular cavities.

Degree: 2014, University of Ontario Institute of Technology

URL: http://hdl.handle.net/10155/452

► The flow-excited acoustic resonance in shallow rectangular cavities can be a source of severe noise and/or excessive vibration. This phenomenon is excited when one of… (more)

▼ The flow-excited acoustic resonance in shallow rectangular cavities can be a source of severe noise and/or excessive vibration. This phenomenon is excited when one of the acoustic modes in the accommodating enclosure is coupled with the flow instabilities resulting from the shear layer formation at the cavity mouth. In this thesis, two passive methods for suppressing the flow-excited acoustic resonance phenomenon are addressed. The first passive method considers the edge geometry effect on the phenomenon. Several edge geometries including chamfered, round, and different configurations of spoilers are considered. The effect of the spoilers dimensions is investigated to provide criteria that help designing and optimizing spoilers. Some of the spoilers are found to be effective in suppressing the acoustic resonance excitation, while some other edges including chamfered and round edges result in shifting the resonance excitations to higher velocities with amplification in the acoustic pressure. To enrich the understanding of the suppression mechanism introduced by these passive methods, hotwire measurements are performed revealing the existence of orthogonal vortices interacting with the shear layer at the cavity mouth. The second passive method investigated is the effect of placing a high frequency vortex generator (control cylinder) in vicinity of the upstream edge of the cavity on the acoustic resonance excitation. The method is investigated experimentally and numerically. The effectiveness of the control cylinder method is studied by investigating different cylinder diameters and locations on both horizontal and vertical directions. It is found that locating the cylinder at relatively small height from the bottom wall and with a distance of 25.4 mm upstream the leading edge can significantly suppress the resonance excitation. To further understand the interaction between the cylinder vortex shedding and the shear layer at the cavity mouth and the influence on the shear layer thickness, a 2D numerical simulation using K-epsilon and Detached Eddy Simulation (DES) models has been carried out and compared to the experimental results. For both passive methods, the study included two cavities with different aspect ratios (L/D=1.0 and L/D=1.67, L: cavity length, D: cavity depth) to address the effectiveness of the methods with respect to the cavity depth. The methods are investigated in flow with Mach number up to 0.45. All different configurations investigated are compared to the base case which is the bare cavity with sharp edges installed upstream and downstream. Advisors/Committee Members: Mohany, Atef.

Subjects/Keywords: Rectangular cavities; Resonance; Passive methods

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APA (6^th Edition):

Omer, A. (2014). Passive methods for suppressing acoustic resonance excitation in shallow rectangular cavities. (Thesis). University of Ontario Institute of Technology. Retrieved from http://hdl.handle.net/10155/452

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Omer, Ahmed. “Passive methods for suppressing acoustic resonance excitation in shallow rectangular cavities.” 2014. Thesis, University of Ontario Institute of Technology. Accessed April 14, 2021. http://hdl.handle.net/10155/452.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Omer, Ahmed. “Passive methods for suppressing acoustic resonance excitation in shallow rectangular cavities.” 2014. Web. 14 Apr 2021.

Vancouver:

Omer A. Passive methods for suppressing acoustic resonance excitation in shallow rectangular cavities. [Internet] [Thesis]. University of Ontario Institute of Technology; 2014. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/10155/452.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Omer A. Passive methods for suppressing acoustic resonance excitation in shallow rectangular cavities. [Thesis]. University of Ontario Institute of Technology; 2014. Available from: http://hdl.handle.net/10155/452

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Michigan

27. Abdelmoneum, Mohamed Ahmed. Micromechanical wine-glass resonators with semi-automatic post fabrication trimming.

Degree: PhD, Electrical engineering, 2005, University of Michigan

URL: http://hdl.handle.net/2027.42/125003

► In this dissertation, new Wine-Glass mode disk resonators exhibiting quality factors of about 100,000 in vacuum and 10,000 in air at frequencies of about 73… (more)

Subjects/Keywords: Automatic; Fabrication; Micromechanical; Post; Semi; Trimming; Wine Glass Resonators

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APA (6^th Edition):

Abdelmoneum, M. A. (2005). Micromechanical wine-glass resonators with semi-automatic post fabrication trimming. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/125003

Chicago Manual of Style (16^th Edition):

Abdelmoneum, Mohamed Ahmed. “Micromechanical wine-glass resonators with semi-automatic post fabrication trimming.” 2005. Doctoral Dissertation, University of Michigan. Accessed April 14, 2021. http://hdl.handle.net/2027.42/125003.

MLA Handbook (7^th Edition):

Abdelmoneum, Mohamed Ahmed. “Micromechanical wine-glass resonators with semi-automatic post fabrication trimming.” 2005. Web. 14 Apr 2021.

Vancouver:

Abdelmoneum MA. Micromechanical wine-glass resonators with semi-automatic post fabrication trimming. [Internet] [Doctoral dissertation]. University of Michigan; 2005. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2027.42/125003.

Council of Science Editors:

Abdelmoneum MA. Micromechanical wine-glass resonators with semi-automatic post fabrication trimming. [Doctoral Dissertation]. University of Michigan; 2005. Available from: http://hdl.handle.net/2027.42/125003

University of Manchester

28. Tsitsopoulos, Vasileios. Modelling of buoyant flows associated with large area fires and indirect free convection.

Degree: PhD, 2013, University of Manchester

URL: https://www.research.manchester.ac.uk/portal/en/theses/modelling-of-buoyant-flows-associated-with-large-area-fires-and-indirect-free-convection(7e849d5b-6b95-4534-b387-63387f5ff26f).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.574345

► Experimental observations indicate the presence of attached, gravity induced, horizontal buoyant currents above large area fires. Their driving mechanism is indirect and resembles the one… (more)

▼ Experimental observations indicate the presence of attached, gravity induced, horizontal buoyant currents above large area fires. Their driving mechanism is indirect and resembles the one observed above heated horizontal plates. Classic plume modelling is satisfactory for providing information for the flow far from the source. In dealing with large areas and directing attention to the flow close to the source, the classic plume theory should fail because the radial pressure gradient that is responsible for the driving of the flow is squeezed in the long and thin classic plume assumption. For this we propose a new plume structure for the description of the buoyant flow above a circular region of large radius L as “The flow field must be divided into three regions. A region where the flow is predominantly horizontal and attached to the surface, a transition region from horizontal to vertical where separation of the attached current takes place, and a region where vertical flow is established and classic plume theory can be applied”. A model for the description of the gross properties of the horizontal currents is developed under the term “horizontal plume”. The modified Richardson number for the horizontal plume a, being analogous to the radius of the large area, is studied asymptotically in the limit a → ∞ and second order uniformly valid semi-analytical solutions are obtained. The hot plate experiment was set up in order to test the model and facilitate its improvement. A chapter is dedicated to the data analysis coming from thermocouple readings and visualisation of the flow using particle image velocimetry.In the remainder of this thesis two classic problems of laminar natural convection are revisited. That of the first order laminar boundary layer above an isothermal circular plate of radius a and the first order laminar boundary layer above the semi- infinite plate inclined to horizontal. In both cases allowances to variable property effects were made through the introduction of a nondimensional parameter λT, with its value set to zero implying the assumption of the Boussinesq approximation. For the circular plate, fourth order series solutions were obtained valid at the edge of the plate where the effects of λT and Prandtl number Pr are studied. Furthermore a finite difference scheme for the numerical solution of the nonsimilar partial integro- differential equation was developed using the Keller Box method and compared with results obtained from the commercial finite element software COMSOL Multiphysics 3.5a. For the semi-infinite plate, fourth order series approximations valid at the edge of the plate were obtained, while an extensive analysis for the effect of λT, Pr and inclination parameter σ was performed on the flow. Positions of the separation points when the inclination is negative (σ < 0) as a function of Pr and λT were recovered.

Subjects/Keywords: 632.18; Plume Theory; Horizontal Plume; Natural convection above horizontal isothermal circular plate; Natural convection above isothermal semi-infinite plate inclined to horizontal; Variable property effects; Horizontal buoyant currents above large area fires

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Tsitsopoulos, V. (2013). Modelling of buoyant flows associated with large area fires and indirect free convection. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/modelling-of-buoyant-flows-associated-with-large-area-fires-and-indirect-free-convection(7e849d5b-6b95-4534-b387-63387f5ff26f).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.574345

Chicago Manual of Style (16^th Edition):

Tsitsopoulos, Vasileios. “Modelling of buoyant flows associated with large area fires and indirect free convection.” 2013. Doctoral Dissertation, University of Manchester. Accessed April 14, 2021. https://www.research.manchester.ac.uk/portal/en/theses/modelling-of-buoyant-flows-associated-with-large-area-fires-and-indirect-free-convection(7e849d5b-6b95-4534-b387-63387f5ff26f).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.574345.

MLA Handbook (7^th Edition):

Tsitsopoulos, Vasileios. “Modelling of buoyant flows associated with large area fires and indirect free convection.” 2013. Web. 14 Apr 2021.

Vancouver:

Tsitsopoulos V. Modelling of buoyant flows associated with large area fires and indirect free convection. [Internet] [Doctoral dissertation]. University of Manchester; 2013. [cited 2021 Apr 14]. Available from: https://www.research.manchester.ac.uk/portal/en/theses/modelling-of-buoyant-flows-associated-with-large-area-fires-and-indirect-free-convection(7e849d5b-6b95-4534-b387-63387f5ff26f).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.574345.

Council of Science Editors:

Tsitsopoulos V. Modelling of buoyant flows associated with large area fires and indirect free convection. [Doctoral Dissertation]. University of Manchester; 2013. Available from: https://www.research.manchester.ac.uk/portal/en/theses/modelling-of-buoyant-flows-associated-with-large-area-fires-and-indirect-free-convection(7e849d5b-6b95-4534-b387-63387f5ff26f).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.574345

Loughborough University

29. Votsios, Vasilis. Contact mechanics and impact dynamics of non-conforming elastic and viscoelastic semi-infinite or thin bonded layered solids.

Degree: PhD, 2003, Loughborough University

URL: http://hdl.handle.net/2134/11815

► The thesis is concerned with the contact mechanics behaviour of non-conforming solids. The geometry of the solids considered gives rise to various contact configurations, from… (more)

▼ The thesis is concerned with the contact mechanics behaviour of non-conforming solids. The geometry of the solids considered gives rise to various contact configurations, from concentrated contacts with circular and elliptical configuration to those of finite line nature, as well as those of less concentrated form such as circular flat punches. The radii of curvature of mating bodies in contact or impact give rise to these various nonconforming contact configurations and affect their contact characteristics, from those considered as semi-infinite solids in accord with the classical Hertzian theory to those that deviate from it. Furthermore, layered solids have been considered, some with higher elastic modulus than that of the substrate material (such as hard protective coatings) and some with low elastic moduli, often employed as tribological coatings (such as solid lubricants). Other bonded layered solids behave in viscoelastic manner, with creep relaxation behaviour under load, and are often used to dampen structural vibration upon impact. Analytic models have been developed for all these solids to predict their contact and impact behaviour and obtain pressure distribution, footprint shape and deformation under both elastostatic and transient dynamic conditions. Only few solutions for thin bonded layered elastic solids have been reported for elastostatic analysis. The analytical model developed in this thesis is in accord with those reported in the literature and is extended to the case of impact of balls, and employed for a number of practical applications. The elastostatic impact of a roller against a semi-infinite elastic half-space is also treated by analytic means, which has not been reported in literature. Two and three-dimensional finite element models have been developed and compared with all the derived analytic methods, and good agreement found in all cases. The finite element approach used has been made into a generic tool for all the contact configurations, elastic and viscoelastic. The physics of the contact mechanical problems is fully explained by analytic, numerical and supporting experimentation and agreement found between all these approaches to a high level of conformance. This level of agreement, the development of various analytical impact models for layered solids and finite line configuration, and the development of a multi-layered viscoelastic transducer with agreed numerical predictions account for the main contributions to knowledge. There are a significant number of findings within the thesis, but the major findings relate to the protective nature of hard coatings and high modulus bonded layered solids, and the verified viscoelastic behaviour of low elastic modulus compressible thin bonded layers. Most importantly, the thesis has created a rational framework for contact/impact of solids of low contact contiguity.

Subjects/Keywords: 620.37; Contact mechanics; Layered elastic solids; Viscoelastic contacts; Impact dynamics; Semi-infinite solids; Hertzian contact; Finite line contact

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Votsios, V. (2003). Contact mechanics and impact dynamics of non-conforming elastic and viscoelastic semi-infinite or thin bonded layered solids. (Doctoral Dissertation). Loughborough University. Retrieved from http://hdl.handle.net/2134/11815

Chicago Manual of Style (16^th Edition):

Votsios, Vasilis. “Contact mechanics and impact dynamics of non-conforming elastic and viscoelastic semi-infinite or thin bonded layered solids.” 2003. Doctoral Dissertation, Loughborough University. Accessed April 14, 2021. http://hdl.handle.net/2134/11815.

MLA Handbook (7^th Edition):

Votsios, Vasilis. “Contact mechanics and impact dynamics of non-conforming elastic and viscoelastic semi-infinite or thin bonded layered solids.” 2003. Web. 14 Apr 2021.

Vancouver:

Votsios V. Contact mechanics and impact dynamics of non-conforming elastic and viscoelastic semi-infinite or thin bonded layered solids. [Internet] [Doctoral dissertation]. Loughborough University; 2003. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/2134/11815.

Council of Science Editors:

Votsios V. Contact mechanics and impact dynamics of non-conforming elastic and viscoelastic semi-infinite or thin bonded layered solids. [Doctoral Dissertation]. Loughborough University; 2003. Available from: http://hdl.handle.net/2134/11815

University of Maryland

30. Ozog, Nicholas E. Ignition Testing of U.S. Army Rocket Launch Tubes with Comparative Heat Transfer Analysis.

Degree: Fire Protection Engineering, 2007, University of Maryland

URL: http://hdl.handle.net/1903/7369

► The objective of this research was to determine the time to ignition of U.S. Army fiberglass epoxy rocket tubes in various conditions. Experiments were conducted… (more)

Subjects/Keywords: Engineering, General; Ignition of Solid; Semi-Infinite Solid; Biot Number; Heat Transfer Coefficient; Oxygen Calorimeter; Propane Burner

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APA (6^th Edition):

Ozog, N. E. (2007). Ignition Testing of U.S. Army Rocket Launch Tubes with Comparative Heat Transfer Analysis. (Thesis). University of Maryland. Retrieved from http://hdl.handle.net/1903/7369

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Ozog, Nicholas E. “Ignition Testing of U.S. Army Rocket Launch Tubes with Comparative Heat Transfer Analysis.” 2007. Thesis, University of Maryland. Accessed April 14, 2021. http://hdl.handle.net/1903/7369.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Ozog, Nicholas E. “Ignition Testing of U.S. Army Rocket Launch Tubes with Comparative Heat Transfer Analysis.” 2007. Web. 14 Apr 2021.

Vancouver:

Ozog NE. Ignition Testing of U.S. Army Rocket Launch Tubes with Comparative Heat Transfer Analysis. [Internet] [Thesis]. University of Maryland; 2007. [cited 2021 Apr 14]. Available from: http://hdl.handle.net/1903/7369.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ozog NE. Ignition Testing of U.S. Army Rocket Launch Tubes with Comparative Heat Transfer Analysis. [Thesis]. University of Maryland; 2007. Available from: http://hdl.handle.net/1903/7369

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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Open Access Theses and Dissertations