subject:(Finite Element Methods)

University of Manchester

1. Maslan, Mohamad Haidir. Development of Predictive Finite Element Models for Complete Contact Fretting Fatigue.

Degree: 2016, University of Manchester

URL: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:300561

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Nucleation and propagation of cracks under fretting conditions has been a subject of study for many years. An extensive experimental investigation to study these cracks… (more)

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Nucleation and propagation of cracks under fretting conditions has been a subject of study for many years. An extensive experimental investigation to study these cracks was undertaken by Royal Aerospace Establishment (RAE Farnborough). Of particular interest to RAE was an Aluminium alloy (L65) developed for aerospace applications.Many researchers have studied fretting damage and fatigue cracks. Some have examined damage development due to wear, whilst others have analysed cracks under linear elastic fracture mechanics (LEFM) domain. To date, no attempt has been made to develop an integrated numerical model which incorporates all aspects of fretting fatigue i.e. nucleation, initial (or early) crack growth, and long crack propagation. The development of such a model is the principal aim of this work. It is expected that the integrated approach will provide the basis for a standard fretting fatigue analysis of other materials, components, and structures using the finite element method (FEM).This study uses the earlier experimental results with RAE as the reference for comparison. The approach followed is to implement the various stages of fretting in a commercial finite element code, ABAQUS. Unlike previously used simple FE models, both specimen (Aluminium alloy) and the fretting pad (steel) are modelled to simulate the real contact conditions including slip.Various predictive models for crack nucleation (based on damage) and propagation (based on fracture mechanics) are developed, tested, and implemented in ABAQUS. Results clearly show that these models together provide a good estimation tool for predicting total life in complete contact fretting fatigue. It is envisaged that the integrated model will be easily utilised for other materials, components, and structures subjected to fretting fatigue conditions with minimum experimental testing required.

Nucleation and propagation of cracks under fretting conditions has been a subject of study for many years. An extensive experimental investigation to study these cracks was undertaken by Royal Aerospace Establishment (RAE Farnborough). Of particular interest to RAE was an Aluminium alloy (L65) developed for aerospace applications.Many researchers have studied fretting damage and fatigue cracks. Some have examined damage development due to wear, whilst others have analysed cracks under linear elastic fracture mechanics (LEFM) domain. To date, no attempt has been made to develop an integrated numerical model which incorporates all aspects of fretting fatigue i.e. nucleation, initial (or early) crack growth, and long crack propagation. The development of such a model is the principal aim of this work. It is expected that the integrated approach will provide the basis for a standard fretting fatigue analysis of other materials, components, and structures using the finite element method (FEM).This study uses the earlier experimental results with RAE as the reference for comparison. The approach followed is to implement the various stages of fretting in a commercial finite…

Advisors/Committee Members: Sheikh, Mohammad.

Subjects/Keywords: Fretting Fatigue; Finite Element Methods

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APA (6^th Edition):

Maslan, M. H. (2016). Development of Predictive Finite Element Models for Complete Contact Fretting Fatigue. (Doctoral Dissertation). University of Manchester. Retrieved from http://www.manchester.ac.uk/escholar/uk-ac-man-scw:300561

Chicago Manual of Style (16^th Edition):

Maslan, Mohamad Haidir. “Development of Predictive Finite Element Models for Complete Contact Fretting Fatigue.” 2016. Doctoral Dissertation, University of Manchester. Accessed January 23, 2021. http://www.manchester.ac.uk/escholar/uk-ac-man-scw:300561.

MLA Handbook (7^th Edition):

Maslan, Mohamad Haidir. “Development of Predictive Finite Element Models for Complete Contact Fretting Fatigue.” 2016. Web. 23 Jan 2021.

Vancouver:

Maslan MH. Development of Predictive Finite Element Models for Complete Contact Fretting Fatigue. [Internet] [Doctoral dissertation]. University of Manchester; 2016. [cited 2021 Jan 23]. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:300561.

Council of Science Editors:

Maslan MH. Development of Predictive Finite Element Models for Complete Contact Fretting Fatigue. [Doctoral Dissertation]. University of Manchester; 2016. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:300561

Delft University of Technology

2. Tselempis, Romanos (author). Finite volume method for modelling of linear elastic deformation: Extension to three dimensions and comparison with finite element method.

Degree: 2020, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:7910e08c-83e0-47d6-ae1a-53d0722db461

► The demand for accurate and efficient simulations in order to test the geomechanical effects is a reality for the entire geoscience community. The motivation that… (more)

▼ The demand for accurate and efficient simulations in order to test the geomechanical effects is a reality for the entire geoscience community. The motivation that arises from that need is the development and the evolution of modelling methods to study these effects. Deep understanding of any problem in fine scale is crucial, especially when it extends to much coarser scales. In this work the finite volume method (FVM) is used for mechanical modelling of deformation in elastic media. The momentum balance equation is solved as the governing equation for mechanics, assuming linear elasticity for the stress tensor. Here, displacement is mapped onto a vertex-centred grid in three dimensions (3D). A set of eight trilinear basis functions are used to locally interpolate the value of displacement within each grid cube. In the finite volume method, the discretized form of the equations are obtained by integrating the governing equation over control volume surfaces, since in 3D the control volume is a cube. Hence, discretized forms are obtained by considering 24 surfaces, which form between a displacement node and its neighbouring displacement cells. This required extensive derivation. The implementation of the numerical model was carried out by writing a code in MATLAB. Several numerical test cases are presented to demonstrate the capability of this model. In the first place, the consistency of the model is checked through comparison with synthetic analytical solutions, which are compared to the numerical solutions. Furthermore, the simple test case of uniaxial compression, has been carried out with this model, but also compared to the results with a 2D FVM model and a 3D finite element (3D FEM) one. In another test case, ground plain strain subsidence is studied in a real hydrocarbon field with a heterogeneous map for elasticity parameters. It is shown that 3D FVM is in close agreement with 3D FEM in predicting the subsidence due to field depletion. Last but not least, displacement and stresses, in a faulted reservoir in which fluids are injected, are modelled and the results are shown to coincide with a robust analytical solutions for the system. Finally, the aim of this work is to shed some more light on the finite volume method for mechanics and bring it closer to the audience of science. Advisors/Committee Members: Hajibeygi, H. (mentor), Gerritsma, M.I. (graduation committee), Muntendam-Bos, A.G. (graduation committee), Ramesh Kumar, K. (graduation committee), Shokrollahzadeh Behbahani, S. (graduation committee), Delft University of Technology (degree granting institution).

Subjects/Keywords: Finite Volume Methods; Finite element method; Mechanics

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

APA (6^th Edition):

Tselempis, R. (. (2020). Finite volume method for modelling of linear elastic deformation: Extension to three dimensions and comparison with finite element method. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:7910e08c-83e0-47d6-ae1a-53d0722db461

Chicago Manual of Style (16^th Edition):

Tselempis, Romanos (author). “Finite volume method for modelling of linear elastic deformation: Extension to three dimensions and comparison with finite element method.” 2020. Masters Thesis, Delft University of Technology. Accessed January 23, 2021. http://resolver.tudelft.nl/uuid:7910e08c-83e0-47d6-ae1a-53d0722db461.

MLA Handbook (7^th Edition):

Tselempis, Romanos (author). “Finite volume method for modelling of linear elastic deformation: Extension to three dimensions and comparison with finite element method.” 2020. Web. 23 Jan 2021.

Vancouver:

Tselempis R(. Finite volume method for modelling of linear elastic deformation: Extension to three dimensions and comparison with finite element method. [Internet] [Masters thesis]. Delft University of Technology; 2020. [cited 2021 Jan 23]. Available from: http://resolver.tudelft.nl/uuid:7910e08c-83e0-47d6-ae1a-53d0722db461.

Council of Science Editors:

Tselempis R(. Finite volume method for modelling of linear elastic deformation: Extension to three dimensions and comparison with finite element method. [Masters Thesis]. Delft University of Technology; 2020. Available from: http://resolver.tudelft.nl/uuid:7910e08c-83e0-47d6-ae1a-53d0722db461

Texas A&M University

3. Ren, Jun. Multiscale Solution Techniques For High-Contrast Anisotropic Problems.

Degree: PhD, Mathematics, 2015, Texas A&M University

URL: http://hdl.handle.net/1969.1/156423

► Anisotropy occurs in a wide range of applications. Examples include porous media, composite materials, heat transfer, and other fields in science and engineering. Due to… (more)

Subjects/Keywords: Multiscale; High-contrast; Anisotropy; Finite element methods.

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APA (6^th Edition):

Ren, J. (2015). Multiscale Solution Techniques For High-Contrast Anisotropic Problems. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/156423

Chicago Manual of Style (16^th Edition):

Ren, Jun. “Multiscale Solution Techniques For High-Contrast Anisotropic Problems.” 2015. Doctoral Dissertation, Texas A&M University. Accessed January 23, 2021. http://hdl.handle.net/1969.1/156423.

MLA Handbook (7^th Edition):

Ren, Jun. “Multiscale Solution Techniques For High-Contrast Anisotropic Problems.” 2015. Web. 23 Jan 2021.

Vancouver:

Ren J. Multiscale Solution Techniques For High-Contrast Anisotropic Problems. [Internet] [Doctoral dissertation]. Texas A&M University; 2015. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/1969.1/156423.

Council of Science Editors:

Ren J. Multiscale Solution Techniques For High-Contrast Anisotropic Problems. [Doctoral Dissertation]. Texas A&M University; 2015. Available from: http://hdl.handle.net/1969.1/156423

Texas A&M University

4. Zheng, Weixiong. Least-Squares and Other Residual Based Techniques for Radiation Transport Calculations.

Degree: PhD, Nuclear Engineering, 2016, Texas A&M University

URL: http://hdl.handle.net/1969.1/159075

► In this dissertation, we develop several novel methods based on or related to least-squares transport residual for solving deterministic radiation transport problems. For the first… (more)

▼ In this dissertation, we develop several novel methods based on or related to least-squares transport residual for solving deterministic radiation transport problems. For the first part of this dissertation a nonlinear spherical harmonics (PN) closure (TPN) was developed based on analysis of the least-squares residual for time-dependent PN equations in 1D slab geometry. The TPN closure suppresses the oscillations induced by Gibbs phenomenon in time-dependent transport calculations effectively. Simultaneously, a nonlinear viscosity term based on the spatial and temporal variations is realized and used in the extension to filtered PN method (NFPN). NFPN determines the angular viscosity on the fly and potentially fixed the issue existed in linear FPN that filtering strength needs to be predefined by iteratively solving the problem. We further developed another type of NFPN and demonstrate both of the two NFPN preserve the thick diffusion limit for thermal radiative transfer problems theoretically and numerically. We also developed several novel methods along with error analyses for steady-state neutron transport calculations based on least-squares methods. Firstly, a relaxed L1 finite element method was developed based on nonlinearly weighting the least-squares formulation by the pointwise transport residual. In problems such as void and near-void situations where least-squares accuracy is poor, the L1 method improves the solution. Further, a non-converged RL1 still can present comparable accuracy. We then developed a least-squares method based on a novel contiguous-discontinuous functional. A proof is provided for the conservation preservation for such a method, which is significant for problems such as k-eigenvalue calculations. Also, a second order accuracy is observed with much lower error magnitudes in several quantities of interest for heterogeneous problems compared with self-adjoint angular flux (SAAF) solution. Lastly, we extended the CD methodology with 1/σt-weighted least-squares functional to derive a CD-SAAF method and developed a SN-PN angular hybrid scheme. The hybrid scheme can employ high order SN in regions with strong transport feature to couple with low order PN in regions with diffusive flux. In k-eigenvalue calculations, it shows superb accuracy with low degrees of freedom. Advisors/Committee Members: McClarren, Ryan G. (advisor), Morel, Jim E. (committee member), Adams, Marvin L. (committee member), Guermond, Jean-Luc (committee member).

Subjects/Keywords: least-squares; radiation transport; finite element methods

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

APA (6^th Edition):

Zheng, W. (2016). Least-Squares and Other Residual Based Techniques for Radiation Transport Calculations. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/159075

Chicago Manual of Style (16^th Edition):

Zheng, Weixiong. “Least-Squares and Other Residual Based Techniques for Radiation Transport Calculations.” 2016. Doctoral Dissertation, Texas A&M University. Accessed January 23, 2021. http://hdl.handle.net/1969.1/159075.

MLA Handbook (7^th Edition):

Zheng, Weixiong. “Least-Squares and Other Residual Based Techniques for Radiation Transport Calculations.” 2016. Web. 23 Jan 2021.

Vancouver:

Zheng W. Least-Squares and Other Residual Based Techniques for Radiation Transport Calculations. [Internet] [Doctoral dissertation]. Texas A&M University; 2016. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/1969.1/159075.

Council of Science Editors:

Zheng W. Least-Squares and Other Residual Based Techniques for Radiation Transport Calculations. [Doctoral Dissertation]. Texas A&M University; 2016. Available from: http://hdl.handle.net/1969.1/159075

Delft University of Technology

5. Bongers, G. (author). A stress-based gradient-enhanced damage model.

Degree: 2011, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:8b0866ad-20fa-46cc-bb8e-ecaeb3a0d2e4

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One of the shortcomings of nonlocal damage models with a constant length scale parameter is the wrong prediction of damage initiation and propagation in correspondence… (more)

Subjects/Keywords: finite element methods; damage modelling; brittle materials

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APA (6^th Edition):

Bongers, G. (. (2011). A stress-based gradient-enhanced damage model. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:8b0866ad-20fa-46cc-bb8e-ecaeb3a0d2e4

Chicago Manual of Style (16^th Edition):

Bongers, G (author). “A stress-based gradient-enhanced damage model.” 2011. Masters Thesis, Delft University of Technology. Accessed January 23, 2021. http://resolver.tudelft.nl/uuid:8b0866ad-20fa-46cc-bb8e-ecaeb3a0d2e4.

MLA Handbook (7^th Edition):

Bongers, G (author). “A stress-based gradient-enhanced damage model.” 2011. Web. 23 Jan 2021.

Vancouver:

Bongers G(. A stress-based gradient-enhanced damage model. [Internet] [Masters thesis]. Delft University of Technology; 2011. [cited 2021 Jan 23]. Available from: http://resolver.tudelft.nl/uuid:8b0866ad-20fa-46cc-bb8e-ecaeb3a0d2e4.

Council of Science Editors:

Bongers G(. A stress-based gradient-enhanced damage model. [Masters Thesis]. Delft University of Technology; 2011. Available from: http://resolver.tudelft.nl/uuid:8b0866ad-20fa-46cc-bb8e-ecaeb3a0d2e4

University of Pretoria

6. Skorpen, Sarah Anne. The Application and interpretation of linear finite element analysis results in the design and detailing of hogging moment regions in reinforced concrete flat plates.

Degree: Civil Engineering, 2013, University of Pretoria

URL: http://hdl.handle.net/2263/40823

► Structural engineers have used finite element methods for the design of reinforced concrete plate type structures for decades. The theory behind this method is well… (more)

Subjects/Keywords: Reinforced concrete plate; Finite element methods; UCTD

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APA (6^th Edition):

Skorpen, S. A. (2013). The Application and interpretation of linear finite element analysis results in the design and detailing of hogging moment regions in reinforced concrete flat plates. (Masters Thesis). University of Pretoria. Retrieved from http://hdl.handle.net/2263/40823

Chicago Manual of Style (16^th Edition):

Skorpen, Sarah Anne. “The Application and interpretation of linear finite element analysis results in the design and detailing of hogging moment regions in reinforced concrete flat plates.” 2013. Masters Thesis, University of Pretoria. Accessed January 23, 2021. http://hdl.handle.net/2263/40823.

MLA Handbook (7^th Edition):

Skorpen, Sarah Anne. “The Application and interpretation of linear finite element analysis results in the design and detailing of hogging moment regions in reinforced concrete flat plates.” 2013. Web. 23 Jan 2021.

Vancouver:

Skorpen SA. The Application and interpretation of linear finite element analysis results in the design and detailing of hogging moment regions in reinforced concrete flat plates. [Internet] [Masters thesis]. University of Pretoria; 2013. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/2263/40823.

Council of Science Editors:

Skorpen SA. The Application and interpretation of linear finite element analysis results in the design and detailing of hogging moment regions in reinforced concrete flat plates. [Masters Thesis]. University of Pretoria; 2013. Available from: http://hdl.handle.net/2263/40823

University of Manchester

7. Rynn, James Andrew John. On the Use of a Stochastic Galerkin Surrogate to Accelerate the Solution of PDE-Based Bayesian Inverse Problems.

Degree: 2020, University of Manchester

URL: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:323604

► In this thesis, we are interested in the efficient numerical solution of PDE-based Bayesian inverse problems, where the aim is to approximate the posterior distribution… (more)

▼ In this thesis, we are interested in the efficient numerical solution of PDE-based Bayesian inverse problems, where the aim is to approximate the posterior distribution for the unknown inputs to a PDE model given indirect, noisy observations of the output. Typical sampling approaches for investigating the posterior distribution rely on producing repeated approximations, using deterministic finite element methods or similar, to the corresponding forward problem. The computational expense of constructing these repeated approximations often makes such approaches infeasible, even when a sophisticated sampling method is employed. We examine the use of a surrogate approach to expedite the sampling of the posterior using a Markov chain Monte Carlo (MCMC) sampling algorithm. Our particular choice of surrogate is a stochastic Galerkin finite element method (SGFEM) approximation to a parametric form of the forward problem, which approximates the forward solution for a range of possible unknown inputs as a function of parameters representing the uncertain inputs. By solving a single large linear system in the offline stage, we avoid the need to compute repeated approximations during the online (MCMC) stage and thus save a significant amount of computational effort. We investigate the accuracy and efficiency of this surrogate approach through solution of both a model elliptic problem and an industry inspired parabolic inverse problem. There are two novel contributions in this thesis. Firstly, through a series of numerical experiments, we perform a numerical demonstration of theoretical results on the convergence of our approximations to the posterior obtained when solving a model elliptic inverse problem using an SGFEM surrogate in an MCMC routine. That is, we have shown the numerical convergence of the approximate posterior distribution as the discretisation parameters of the SGFEM approximation are refined. Secondly, we have demonstrated the rapid solution of a parabolic inverse problem of interest to the industrial sponsors of this project, the National Physical Laboratory. This problem concerns the determination of the unknown thermal conductivity of a material given thermogram data from a laser flash experiment, where a sample of the material is heated and measurements of its temperature are taken. Our approach combines a stochastic Galerkin method with a time stepping routine to allow rapid evaluation of the approximate posterior density. We perform numerical investigations into both the accuracy of our approach and the features of the physical problem. Much of the work involved in solving the industrial problem would be beyond any realistic computational budget without the use of our efficient sampling approach. Advisors/Committee Members: COTTER, SIMON SL, Powell, Catherine, Cotter, Simon.

Subjects/Keywords: Uncertainty Quantification; Bayesian Inverse Problems; Finite Element Methods; Stochastic Galerkin Finite Element Methods; Surrogate

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APA (6^th Edition):

Rynn, J. A. J. (2020). On the Use of a Stochastic Galerkin Surrogate to Accelerate the Solution of PDE-Based Bayesian Inverse Problems. (Doctoral Dissertation). University of Manchester. Retrieved from http://www.manchester.ac.uk/escholar/uk-ac-man-scw:323604

Chicago Manual of Style (16^th Edition):

Rynn, James Andrew John. “On the Use of a Stochastic Galerkin Surrogate to Accelerate the Solution of PDE-Based Bayesian Inverse Problems.” 2020. Doctoral Dissertation, University of Manchester. Accessed January 23, 2021. http://www.manchester.ac.uk/escholar/uk-ac-man-scw:323604.

MLA Handbook (7^th Edition):

Rynn, James Andrew John. “On the Use of a Stochastic Galerkin Surrogate to Accelerate the Solution of PDE-Based Bayesian Inverse Problems.” 2020. Web. 23 Jan 2021.

Vancouver:

Rynn JAJ. On the Use of a Stochastic Galerkin Surrogate to Accelerate the Solution of PDE-Based Bayesian Inverse Problems. [Internet] [Doctoral dissertation]. University of Manchester; 2020. [cited 2021 Jan 23]. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:323604.

Council of Science Editors:

Rynn JAJ. On the Use of a Stochastic Galerkin Surrogate to Accelerate the Solution of PDE-Based Bayesian Inverse Problems. [Doctoral Dissertation]. University of Manchester; 2020. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:323604

University of Manchester

8. Rynn, James. On the use of a stochastic Galerkin surrogate to accelerate the solution of PDE-based Bayesian inverse problems.

Degree: PhD, 2020, University of Manchester

URL: https://www.research.manchester.ac.uk/portal/en/theses/on-the-use-of-a-stochastic-galerkin-surrogate-to-accelerate-the-solution-of-pdebased-bayesian-inverse-problems(52f58b43-8830-4aa4-9f80-176328a31d6f).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.799506

► In this thesis, we are interested in the efficient numerical solution of PDE-based Bayesian inverse problems, where the aim is to approximate the posterior distribution… (more)

▼ In this thesis, we are interested in the efficient numerical solution of PDE-based Bayesian inverse problems, where the aim is to approximate the posterior distribution for the unknown inputs to a PDE model given indirect, noisy observations of the output. Typical sampling approaches for investigating the posterior distribution rely on producing repeated approximations, using deterministic finite element methods or similar, to the corresponding forward problem. The computational expense of constructing these repeated approximations often makes such approaches infeasible, even when a sophisticated sampling method is employed. We examine the use of a surrogate approach to expedite the sampling of the posterior using a Markov chain Monte Carlo (MCMC) sampling algorithm. Our particular choice of surrogate is a stochastic Galerkin finite element method (SGFEM) approximation to a parametric form of the forward problem, which approximates the forward solution for a range of possible unknown inputs as a function of parameters representing the uncertain inputs. By solving a single large linear system in the offline stage, we avoid the need to compute repeated approximations during the online (MCMC) stage and thus save a significant amount of computational effort. We investigate the accuracy and efficiency of this surrogate approach through solution of both a model elliptic problem and an industry inspired parabolic inverse problem. There are two novel contributions in this thesis. Firstly, through a series of numerical experiments, we perform a numerical demonstration of theoretical results on the convergence of our approximations to the posterior obtained when solving a model elliptic inverse problem using an SGFEM surrogate in an MCMC routine. That is, we have shown the numerical convergence of the approximate posterior distribution as the discretisation parameters of the SGFEM approximation are refined. Secondly, we have demonstrated the rapid solution of a parabolic inverse problem of interest to the industrial sponsors of this project, the National Physical Laboratory. This problem concerns the determination of the unknown thermal conductivity of a material given thermogram data from a laser flash experiment, where a sample of the material is heated and measurements of its temperature are taken. Our approach combines a stochastic Galerkin method with a time stepping routine to allow rapid evaluation of the approximate posterior density. We perform numerical investigations into both the accuracy of our approach and the features of the physical problem. Much of the work involved in solving the industrial problem would be beyond any realistic computational budget without the use of our efficient sampling approach.

Subjects/Keywords: Finite Element Methods; Surrogate; Uncertainty Quantification; Bayesian Inverse Problems; Stochastic Galerkin Finite Element Methods

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

APA (6^th Edition):

Rynn, J. (2020). On the use of a stochastic Galerkin surrogate to accelerate the solution of PDE-based Bayesian inverse problems. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/on-the-use-of-a-stochastic-galerkin-surrogate-to-accelerate-the-solution-of-pdebased-bayesian-inverse-problems(52f58b43-8830-4aa4-9f80-176328a31d6f).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.799506

Chicago Manual of Style (16^th Edition):

Rynn, James. “On the use of a stochastic Galerkin surrogate to accelerate the solution of PDE-based Bayesian inverse problems.” 2020. Doctoral Dissertation, University of Manchester. Accessed January 23, 2021. https://www.research.manchester.ac.uk/portal/en/theses/on-the-use-of-a-stochastic-galerkin-surrogate-to-accelerate-the-solution-of-pdebased-bayesian-inverse-problems(52f58b43-8830-4aa4-9f80-176328a31d6f).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.799506.

MLA Handbook (7^th Edition):

Rynn, James. “On the use of a stochastic Galerkin surrogate to accelerate the solution of PDE-based Bayesian inverse problems.” 2020. Web. 23 Jan 2021.

Vancouver:

Rynn J. On the use of a stochastic Galerkin surrogate to accelerate the solution of PDE-based Bayesian inverse problems. [Internet] [Doctoral dissertation]. University of Manchester; 2020. [cited 2021 Jan 23]. Available from: https://www.research.manchester.ac.uk/portal/en/theses/on-the-use-of-a-stochastic-galerkin-surrogate-to-accelerate-the-solution-of-pdebased-bayesian-inverse-problems(52f58b43-8830-4aa4-9f80-176328a31d6f).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.799506.

Council of Science Editors:

Rynn J. On the use of a stochastic Galerkin surrogate to accelerate the solution of PDE-based Bayesian inverse problems. [Doctoral Dissertation]. University of Manchester; 2020. Available from: https://www.research.manchester.ac.uk/portal/en/theses/on-the-use-of-a-stochastic-galerkin-surrogate-to-accelerate-the-solution-of-pdebased-bayesian-inverse-problems(52f58b43-8830-4aa4-9f80-176328a31d6f).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.799506

Georgia Tech

9. Faghih Shojaei, Mostafa. Compatible-strain mixed finite element methods for nonlinear elasticity.

Degree: PhD, Civil and Environmental Engineering, 2019, Georgia Tech

URL: http://hdl.handle.net/1853/63489

► A new family of mixed finite element methods – compatible-strain mixed finite element methods (CSFEMs) – are introduced for compressible and incompressible nonlinear elasticity problems in dimensions… (more)

▼ A new family of mixed finite element methods – compatible-strain mixed finite element methods (CSFEMs) – are introduced for compressible and incompressible nonlinear elasticity problems in dimensions two and three. A Hu-Washizu-type mixed formulation is considered and the displacement, the displacement gradient, and the first Piola-Kirchhoff stress are chosen as the independent unknowns. To impose incompressibility, a pressure-like field is introduced as the fourth independent unknown. Using the Hilbert complexes of nonlinear elasticity that describe the kinematics and the kinetics of motion, we identify the solution spaces that the independent unknown fields belong to. In particular, we define the displacement in H1, the displacement gradient in H(curl), the stress in H(div), and the pressure field in L2. The test spaces of the mixed formulations are chosen to be the same as their corresponding solution spaces. In a conforming setting, we approximate the solution and the test spaces with some piecewise polynomial subspaces of them. Among these approximation spaces are the tensorial analogues of the standard Nédélec and Raviart-Thomas finite element spaces of vector fields. This approach results in mixed finite element methods that, by construction, satisfy both the Hadamard jump conditions and the continuity of traction at the discrete level regardless of the refinement level of the mesh. This, in particular, makes CSFEMs quite efficient for modeling heterogeneous solids. We assess the performance of CSFEMs by solving several numerical examples in dimensions two and three and demonstrate their good performance for bending problems, for bodies with complex geometries, for different material models, and in the nearly incompressible regime. Using CSFEMs, one can model deformations with very large strains and accurately approximate stresses and the pressure field. Moreover, in our numerical examples, we do not observe any numerical artifacts such as checkerboarding of pressure, hourglass instability, or locking. Advisors/Committee Members: Yavari, Arash (advisor), Rimoli, Julian (advisor), Garmestani, Hamid (advisor), Suryanarayana, Phanish (advisor), Zhu, Ting (advisor).

Subjects/Keywords: Mixed finite element methods; Finite element exterior calculus; Nonlinear elasticity; Incompressible elasticity; Hilbert complex

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APA (6^th Edition):

Faghih Shojaei, M. (2019). Compatible-strain mixed finite element methods for nonlinear elasticity. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/63489

Chicago Manual of Style (16^th Edition):

Faghih Shojaei, Mostafa. “Compatible-strain mixed finite element methods for nonlinear elasticity.” 2019. Doctoral Dissertation, Georgia Tech. Accessed January 23, 2021. http://hdl.handle.net/1853/63489.

MLA Handbook (7^th Edition):

Faghih Shojaei, Mostafa. “Compatible-strain mixed finite element methods for nonlinear elasticity.” 2019. Web. 23 Jan 2021.

Vancouver:

Faghih Shojaei M. Compatible-strain mixed finite element methods for nonlinear elasticity. [Internet] [Doctoral dissertation]. Georgia Tech; 2019. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/1853/63489.

Council of Science Editors:

Faghih Shojaei M. Compatible-strain mixed finite element methods for nonlinear elasticity. [Doctoral Dissertation]. Georgia Tech; 2019. Available from: http://hdl.handle.net/1853/63489

Wayne State University

10. Zhao, Ren. Polynomial Preserving Recovery For Weak Galerkin Methods And Their Applications.

Degree: PhD, Mathematics, 2017, Wayne State University

URL: https://digitalcommons.wayne.edu/oa_dissertations/1904

► Gradient recovery technique is widely used to reconstruct a better numerical gradient from a finite element solution, for mesh smoothing, a posteriori error estimate… (more)

▼ Gradient recovery technique is widely used to reconstruct a better numerical gradient from a finite element solution, for mesh smoothing, a posteriori error estimate and adaptive finite element methods. The PPR technique generates a higher order approximation of the gradient on a patch of mesh elements around each mesh vertex. It can be used for different finite element methods for different problems. This dissertation presents recovery techniques for the weak Galerkin methods and as well as applications of gradient recovery on various of problems, including elliptic problems, interface problems, and Stokes problems. Our first target is to develop a boundary strategy for the current PPR algorithm. The current accuracy of PPR near boundaries is not as good as that in the interior of the domain. It might be even worse than without recovery. Some special treatments are needed to improve the accuracy of PPR on the boundary. In this thesis, we present two boundary recovery strategies to resolve the problem caused by boundaries. Numerical experiments indicate that both of the newly proposed strategies made an improvement to the original PPR. Our second target is to generalize PPR to the weak Galerkin methods. Different from the standard finite element methods, the weak Galerkin methods use a different set of degrees of freedom. Instead of the weak gradient information, we are able to obtain the recovered gradient information for the numerical solution in the generalization of PPR. In the PPR process, we are also able to recover the function value at the nodal points which will produce a global continuous solution instead of piecewise continuous function. Our third target is to apply our proposed strategy and WGPPR to interface problems. We treat an interface as a boundary when performing gradient recovery, and the jump condition on the interface can be well captured by the function recovery process. In addition, adaptive methods based on WGPPR recovery type a posteriori error estimator is proposed and numerically tested in this thesis. Application on the elliptic problem and interface problem validate the effectiveness and robustness of our algorithm. Furthermore, WGPPR has been applied to 3D problem and Stokes problem as well. Superconvergent phenomenon is again observed. Advisors/Committee Members: Zhimin Zhang.

Subjects/Keywords: finite element methods; polynomial preserving recovery; weak Galerkin methods; Mathematics

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APA (6^th Edition):

Zhao, R. (2017). Polynomial Preserving Recovery For Weak Galerkin Methods And Their Applications. (Doctoral Dissertation). Wayne State University. Retrieved from https://digitalcommons.wayne.edu/oa_dissertations/1904

Chicago Manual of Style (16^th Edition):

Zhao, Ren. “Polynomial Preserving Recovery For Weak Galerkin Methods And Their Applications.” 2017. Doctoral Dissertation, Wayne State University. Accessed January 23, 2021. https://digitalcommons.wayne.edu/oa_dissertations/1904.

MLA Handbook (7^th Edition):

Zhao, Ren. “Polynomial Preserving Recovery For Weak Galerkin Methods And Their Applications.” 2017. Web. 23 Jan 2021.

Vancouver:

Zhao R. Polynomial Preserving Recovery For Weak Galerkin Methods And Their Applications. [Internet] [Doctoral dissertation]. Wayne State University; 2017. [cited 2021 Jan 23]. Available from: https://digitalcommons.wayne.edu/oa_dissertations/1904.

Council of Science Editors:

Zhao R. Polynomial Preserving Recovery For Weak Galerkin Methods And Their Applications. [Doctoral Dissertation]. Wayne State University; 2017. Available from: https://digitalcommons.wayne.edu/oa_dissertations/1904

Colorado School of Mines

11. Morgenstern, Charles O. High-order high-performance computing algorithms for wave propagation in heterogeneous media.

Degree: PhD, Applied Mathematics and Statistics, 2016, Colorado School of Mines

URL: http://hdl.handle.net/11124/170316

► Understanding the propagation of waves using computer models is important for several applications. Major challenges for developing efficient wave propagation computer models include incorporating heterogeneous… (more)

Subjects/Keywords: boundary element method; finite element method; high-order; indefinite systems; iterative methods; wave propagation

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APA (6^th Edition):

Morgenstern, C. O. (2016). High-order high-performance computing algorithms for wave propagation in heterogeneous media. (Doctoral Dissertation). Colorado School of Mines. Retrieved from http://hdl.handle.net/11124/170316

Chicago Manual of Style (16^th Edition):

Morgenstern, Charles O. “High-order high-performance computing algorithms for wave propagation in heterogeneous media.” 2016. Doctoral Dissertation, Colorado School of Mines. Accessed January 23, 2021. http://hdl.handle.net/11124/170316.

MLA Handbook (7^th Edition):

Morgenstern, Charles O. “High-order high-performance computing algorithms for wave propagation in heterogeneous media.” 2016. Web. 23 Jan 2021.

Vancouver:

Morgenstern CO. High-order high-performance computing algorithms for wave propagation in heterogeneous media. [Internet] [Doctoral dissertation]. Colorado School of Mines; 2016. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/11124/170316.

Council of Science Editors:

Morgenstern CO. High-order high-performance computing algorithms for wave propagation in heterogeneous media. [Doctoral Dissertation]. Colorado School of Mines; 2016. Available from: http://hdl.handle.net/11124/170316

University of California – Berkeley

12. Rai, Rahul. Numerical Investigation of Operational Shocks and Vibrations in Mobile Hard Disk Drives.

Degree: Mechanical Engineering, 2011, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/85k909jm

► Over the last decade, there has been a continuous increase in the demand of hard disk drives (HDDs) for the mobile applications. In such devices,… (more)

Subjects/Keywords: Mechanical engineering; Finite Element Methods; Hard Disk Drive; Operational Shocks; Vibration

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APA (6^th Edition):

Rai, R. (2011). Numerical Investigation of Operational Shocks and Vibrations in Mobile Hard Disk Drives. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/85k909jm

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):

Rai, Rahul. “Numerical Investigation of Operational Shocks and Vibrations in Mobile Hard Disk Drives.” 2011. Thesis, University of California – Berkeley. Accessed January 23, 2021. http://www.escholarship.org/uc/item/85k909jm.

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

MLA Handbook (7^th Edition):

Rai, Rahul. “Numerical Investigation of Operational Shocks and Vibrations in Mobile Hard Disk Drives.” 2011. Web. 23 Jan 2021.

Vancouver:

Rai R. Numerical Investigation of Operational Shocks and Vibrations in Mobile Hard Disk Drives. [Internet] [Thesis]. University of California – Berkeley; 2011. [cited 2021 Jan 23]. Available from: http://www.escholarship.org/uc/item/85k909jm.

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

Council of Science Editors:

Rai R. Numerical Investigation of Operational Shocks and Vibrations in Mobile Hard Disk Drives. [Thesis]. University of California – Berkeley; 2011. Available from: http://www.escholarship.org/uc/item/85k909jm

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

UCLA

13. Howes, Russell. Virtual Node Methods for Incompressible Flow.

Degree: Mathematics, 2014, UCLA

URL: http://www.escholarship.org/uc/item/49w3s6fr

► This thesis details two numerical methods for the solution of incompressible flow problems using the virtual node framework introduced in (Bedrossian, 2010). The first method… (more)

Subjects/Keywords: Applied mathematics; Computational Fluid Dynamics; Finite Element Methods; Numerical Analysis

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APA (6^th Edition):

Howes, R. (2014). Virtual Node Methods for Incompressible Flow. (Thesis). UCLA. Retrieved from http://www.escholarship.org/uc/item/49w3s6fr

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):

Howes, Russell. “Virtual Node Methods for Incompressible Flow.” 2014. Thesis, UCLA. Accessed January 23, 2021. http://www.escholarship.org/uc/item/49w3s6fr.

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

MLA Handbook (7^th Edition):

Howes, Russell. “Virtual Node Methods for Incompressible Flow.” 2014. Web. 23 Jan 2021.

Vancouver:

Howes R. Virtual Node Methods for Incompressible Flow. [Internet] [Thesis]. UCLA; 2014. [cited 2021 Jan 23]. Available from: http://www.escholarship.org/uc/item/49w3s6fr.

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

Council of Science Editors:

Howes R. Virtual Node Methods for Incompressible Flow. [Thesis]. UCLA; 2014. Available from: http://www.escholarship.org/uc/item/49w3s6fr

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

University of Michigan

14. Teichert, Gregory. Mathematical Framework and Numerical Methods for the Modeling of Mechanochemistry in Multi-Phase Materials.

Degree: PhD, Mechanical Engineering, 2017, University of Michigan

URL: http://hdl.handle.net/2027.42/138690

► This dissertation presents a suite of mathematical formulations and numerical methods for modeling the interactions between solid mechanics and chemistry in multi-phase materials. In all… (more)

Subjects/Keywords: finite element method; computational materials science; variational methods; Mechanical Engineering; Engineering

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

APA (6^th Edition):

Teichert, G. (2017). Mathematical Framework and Numerical Methods for the Modeling of Mechanochemistry in Multi-Phase Materials. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/138690

Chicago Manual of Style (16^th Edition):

Teichert, Gregory. “Mathematical Framework and Numerical Methods for the Modeling of Mechanochemistry in Multi-Phase Materials.” 2017. Doctoral Dissertation, University of Michigan. Accessed January 23, 2021. http://hdl.handle.net/2027.42/138690.

MLA Handbook (7^th Edition):

Teichert, Gregory. “Mathematical Framework and Numerical Methods for the Modeling of Mechanochemistry in Multi-Phase Materials.” 2017. Web. 23 Jan 2021.

Vancouver:

Teichert G. Mathematical Framework and Numerical Methods for the Modeling of Mechanochemistry in Multi-Phase Materials. [Internet] [Doctoral dissertation]. University of Michigan; 2017. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/2027.42/138690.

Council of Science Editors:

Teichert G. Mathematical Framework and Numerical Methods for the Modeling of Mechanochemistry in Multi-Phase Materials. [Doctoral Dissertation]. University of Michigan; 2017. Available from: http://hdl.handle.net/2027.42/138690

Universidade Estadual de Campinas

15. Ruy, Mônica, 1990-. Modelagem do comportamento biomecânico de árvores : Modeling the biomechanical behavior of trees: Modeling the biomechanical behavior of trees.

Degree: 2020, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/345058

► Abstract: Managing tree risk analysis involves multidisciplinary knowledge, including biology and engineering. Thus, biomechanics has been used to combine biological aspects (growth characteristics, tree anatomy… (more)

▼ Abstract: Managing tree risk analysis involves multidisciplinary knowledge, including biology and engineering. Thus, biomechanics has been used to combine biological aspects (growth characteristics, tree anatomy and biodeterioration agents) with the mechanical behavior of trees. This research had, as general objective, to verify if using concepts of biomechanics and finite elements (FEM), it is possible to propose structural model to describe, in an approximate way, the behavior of trees. To achieve the objective, initially it was performed, for species most commonly used in urban afforestation in the São Paulo state, characterization of the trunk and branch dendrometry and survey of adaptations (tigmomorphogenesis) most frequently verified which were used in the design and evaluation of the model. The second step was to evaluate the effects of dendrometric relationships on the structural behavior of trees, in order to detect the parameters that most affect the stability and stresses to which it is subjected, allowing to focus on the evaluation of the models using these aspects. In the final step, models with increasing levels of complexity were proposed through the MEF. These models were evaluated using results of field tests (pulling test) and behavior expected, by the literature, for the distribution of stresses. In the final model adopted, incorporations of deteriorated areas in the stem were tested. Considering the complexity of this individual (tree), the results allow us to conclude that the model proposed in this research allows important advances in risk analysis of tree fall, since it is possible to use different properties for the roots, stem and branches wood, as well as properties to the soil. In addition, the model also allows simulating the inclusion of different types and dimensions of deterioration and tigmomorphogenesis produced by trees Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Gonçalves, Raquel, 1961- (advisor), Vicente, William Martins, 1980- (coadvisor), Universidade Estadual de Campinas. Faculdade de Engenharia Agrícola (institution), Programa de Pós-Graduação em Engenharia Agrícola (nameofprogram), Fernandez, Manuel Guaita (committee member), Pedroso, Cinthya Bertoldo (committee member), González, Guillermo Iñiguez (committee member), Yojo, Takashi (committee member).

Subjects/Keywords: Biomecânica; Método dos elementos finitos; Biomechanics; Finite element methods

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

APA (6^th Edition):

Ruy, Mônica, 1. (2020). Modelagem do comportamento biomecânico de árvores : Modeling the biomechanical behavior of trees: Modeling the biomechanical behavior of trees. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/345058

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):

Ruy, Mônica, 1990-. “Modelagem do comportamento biomecânico de árvores : Modeling the biomechanical behavior of trees: Modeling the biomechanical behavior of trees.” 2020. Thesis, Universidade Estadual de Campinas. Accessed January 23, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/345058.

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

MLA Handbook (7^th Edition):

Ruy, Mônica, 1990-. “Modelagem do comportamento biomecânico de árvores : Modeling the biomechanical behavior of trees: Modeling the biomechanical behavior of trees.” 2020. Web. 23 Jan 2021.

Vancouver:

Ruy, Mônica 1. Modelagem do comportamento biomecânico de árvores : Modeling the biomechanical behavior of trees: Modeling the biomechanical behavior of trees. [Internet] [Thesis]. Universidade Estadual de Campinas; 2020. [cited 2021 Jan 23]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/345058.

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

Council of Science Editors:

Ruy, Mônica 1. Modelagem do comportamento biomecânico de árvores : Modeling the biomechanical behavior of trees: Modeling the biomechanical behavior of trees. [Thesis]. Universidade Estadual de Campinas; 2020. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/345058

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

Stellenbosch University

16. Venter, Martin Philip. A methodology for numerical prototyping of inflatable dunnage bags.

Degree: PhD, 2015, Stellenbosch University

URL: http://hdl.handle.net/10019.1/97124

►

ENGLISH ABSTRACT: Dunnage bags are an inflatable dunnage variant, positioned and inflated between goods in multi-modal containers to restrain and protect the goods while in… (more)

▼

ENGLISH ABSTRACT: Dunnage bags are an inflatable dunnage variant, positioned and inflated between goods in multi-modal containers to restrain and protect the goods while in transit. This project endeavours to develop a simple method of generating new numerical prototypes for dunnage bags suitable for simulating operational loading of the bags. Previous research has produced a model that simulates the inflation of a paper dunnage bag using a simple pressure load. A dunnage bag reinforced with plain-woven polypropylene was chosen as the test case. Woven polypropylene is a highly non-linear, non-continuous, non-homogeneous material that requires specialised material models to simulate. A key aspect of this project was to develop a simple method for characterising woven-polypropylene and replicating it's response with material models native to LS-DYNA. The mechanical response of the plain-woven polypropylene was tested using a bi-axial tensile test device. The material response from physical testing was then mapped to two material models using the numerical optimiser LS-OPT. The response of the calibrated material models was found to correlate well with the measured response of the woven material. Dunnage bags are subjected to cyclic loading in operation. In order to capture the effects of compressing the contained gas, a gas inflation model was added to the model that calculates the pressure in the bag based on the Ideal Gas Law. A full bag model making use of the calibrated material models and the inflation model was subjected to a cycled boundary condition simulating loading and unloading of an inflated dunnage bag. The two prototype models captured the pressure drop in the bag due to material plastic deformation and the restraining force produced by the bag to within 10 %. The prototype models were also found suitable for predicting burst pressure in voids of arbitrary size and shape.

AFRIKAANSE OPSOMMING: Stusakke is 'n opblaasbare soort stumateriaal wat tussen goedere in multimodale vraghouers geposisioneer en opgeblaas word om sodoende die goedere vas te druk en te beskerm tydens vervoer. Hierdie projek poog om 'n eenvoudige manier te ontwikkel om nuwe numeriese prototipes vir stusakke, geskik om operasionele lading van die sakke te simuleer, te ontwikkel. Vorige navorsing het 'n model ontwikkel wat die opblaas van 'n papier stusak met eenvoudige drukkrag simlueer. 'n Hoë-vlak stusak versterk met plein-geweefde polipropileen, is gekies om getoets te word. Geweefde polipropoleen is 'n hoogs nie-lineêre, onderbroke, nie-homogene materiaal wat gespesialiseerde materiaalmodelle nodig het vir simulasie. Een van die fokuspunte van hierdie projek is om 'n eenvoudige metode te ontwikkel om die karaktereienskappe van polipropoleen te identifiseer en die gedrag daarvan na te maak met die materiaalmodelle van LSDYNA. Die meganiese reaksie van die plein-geweefde polipropoleen is getoets met 'n biaksiale/tweeassige trektoets-toestel. Die materiaal se reaksie op die fisiese toets is…

Advisors/Committee Members: Venter, G., Stellenbosch University. Faculty of Engineering. Dept of Mechanical and Mechatronic Engineering..

Subjects/Keywords: Woven polypropylene; Inflatable dunnage bags; Finite element methods; UCTD

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

APA (6^th Edition):

Venter, M. P. (2015). A methodology for numerical prototyping of inflatable dunnage bags. (Doctoral Dissertation). Stellenbosch University. Retrieved from http://hdl.handle.net/10019.1/97124

Chicago Manual of Style (16^th Edition):

Venter, Martin Philip. “A methodology for numerical prototyping of inflatable dunnage bags.” 2015. Doctoral Dissertation, Stellenbosch University. Accessed January 23, 2021. http://hdl.handle.net/10019.1/97124.

MLA Handbook (7^th Edition):

Venter, Martin Philip. “A methodology for numerical prototyping of inflatable dunnage bags.” 2015. Web. 23 Jan 2021.

Vancouver:

Venter MP. A methodology for numerical prototyping of inflatable dunnage bags. [Internet] [Doctoral dissertation]. Stellenbosch University; 2015. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/10019.1/97124.

Council of Science Editors:

Venter MP. A methodology for numerical prototyping of inflatable dunnage bags. [Doctoral Dissertation]. Stellenbosch University; 2015. Available from: http://hdl.handle.net/10019.1/97124

University of Newcastle

17. Moavenian, Mohammad Hesam. Mesh optimisation methods for large deformation analysis of geomechanics problems.

Degree: PhD, 2017, University of Newcastle

URL: http://hdl.handle.net/1959.13/1333777

►

Research Doctorate - Doctor of Philosophy (PhD)

The Finite Element Method (FEM) is an analytical tool used extensively in nonlinear geotechnical problems. Problems with complex… (more)

▼

Research Doctorate - Doctor of Philosophy (PhD)

The Finite Element Method (FEM) is an analytical tool used extensively in nonlinear geotechnical problems. Problems with complex boundary conditions and constitutive soil models can be analysed by the FEM with reasonably accurate results. The geometry of a problem remains unchanged when deformations are small. Therefore, the initial finite element mesh can be used throughout the analysis. On the other hand, in problems involving large deformations, the geometry of the problem changes in such a way that the initial mesh will no longer be usable. The Total Lagrangian (TL), the Updated Lagrangian (UL) and the Arbitrary Lagrangian–Eulerian (ALE) methods are among those methods used to analyse large deformation problems. Mesh distortion and entanglement of elements in regions with high stress/strain gradients are the main drawbacks of common finite element solutions, such as the UL method. Moreover, the accuracy and convergence degrade when using Lagrangian methods for large deformation problems. The ALE method, based on the operator split technique in which mesh and material displacements are separated, can be used to eliminate mesh distortion. In the ALE method, material displacements are obtained in the UL stage by solving the governing equations. The UL stage is followed by an Eulerian stage, in which mesh refinement techniques are used to improve mesh quality. An updated mesh is used for the UL analysis in next increment, after mapping all state variables from the old mesh to the new mesh. In this study, different re-meshing techniques are developed and implemented to enhance the capability of the ALE method in reducing the mesh distortion in a finite element domain involving large deformations. These techniques include the Spring Analogy Method (SAM), the Radial Basis Functions based method (RBF), and the Reference Jacobian Method (RJM) which have been recently used to solve simple geotechnical problems. In this study the application of these remeshing techniques in complex geotechnical problems is addressed. This study shows that the alternative methods outperform the EA method in eliminating mesh distortion in the geotechnical problems solved in this thesis. Although these remeshing methods work well in many penetration problems, they may fail to optimise the mesh adjacent to penetrating objects where elements generally experience the largest deformations in the finite element mesh. To overcome this drawback, in this research, the Elastic Hardening method is developed in which the stiffness of an element increases proportional to the element deformation. This stiffness is used in the relocation phase to obtain the new locations of the nodes of the interior domain. In this way elements which are about to distort in the next UL analysis, preserve their optimum shape in the relocation stage. This new mesh optimisation technique is found to be effective in regions where the elements face relatively high values of stresses and strains. Analysing penetration problems is…

Advisors/Committee Members: University of Newcastle. Faculty of Engineering & Built Environment, School of Engineering.

Subjects/Keywords: finite element method (FEM); geomechanics; geotechnical problems; mesh optimisation methods

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

APA (6^th Edition):

Moavenian, M. H. (2017). Mesh optimisation methods for large deformation analysis of geomechanics problems. (Doctoral Dissertation). University of Newcastle. Retrieved from http://hdl.handle.net/1959.13/1333777

Chicago Manual of Style (16^th Edition):

Moavenian, Mohammad Hesam. “Mesh optimisation methods for large deformation analysis of geomechanics problems.” 2017. Doctoral Dissertation, University of Newcastle. Accessed January 23, 2021. http://hdl.handle.net/1959.13/1333777.

MLA Handbook (7^th Edition):

Moavenian, Mohammad Hesam. “Mesh optimisation methods for large deformation analysis of geomechanics problems.” 2017. Web. 23 Jan 2021.

Vancouver:

Moavenian MH. Mesh optimisation methods for large deformation analysis of geomechanics problems. [Internet] [Doctoral dissertation]. University of Newcastle; 2017. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/1959.13/1333777.

Council of Science Editors:

Moavenian MH. Mesh optimisation methods for large deformation analysis of geomechanics problems. [Doctoral Dissertation]. University of Newcastle; 2017. Available from: http://hdl.handle.net/1959.13/1333777

18. Dagbasi, Mustafa. Engineering analysis of cracked bodies using J-integral methods.

Degree: PhD, 1988, Imperial College London

URL: http://hdl.handle.net/10044/1/47014

Subjects/Keywords: 620.11223; Finite element methods

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

APA (6^th Edition):

Dagbasi, M. (1988). Engineering analysis of cracked bodies using J-integral methods. (Doctoral Dissertation). Imperial College London. Retrieved from http://hdl.handle.net/10044/1/47014

Chicago Manual of Style (16^th Edition):

Dagbasi, Mustafa. “Engineering analysis of cracked bodies using J-integral methods.” 1988. Doctoral Dissertation, Imperial College London. Accessed January 23, 2021. http://hdl.handle.net/10044/1/47014.

MLA Handbook (7^th Edition):

Dagbasi, Mustafa. “Engineering analysis of cracked bodies using J-integral methods.” 1988. Web. 23 Jan 2021.

Vancouver:

Dagbasi M. Engineering analysis of cracked bodies using J-integral methods. [Internet] [Doctoral dissertation]. Imperial College London; 1988. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/10044/1/47014.

Council of Science Editors:

Dagbasi M. Engineering analysis of cracked bodies using J-integral methods. [Doctoral Dissertation]. Imperial College London; 1988. Available from: http://hdl.handle.net/10044/1/47014

19. Sharif, Umer. Fracture Toughness Analysis of Aluminium Foil and its Adhesion with LDPE for Packaging Industry.

Degree: 2012, , School of Engineering

URL: http://urn.kb.se/resolve?urn=urn:nbn:se:bth-3070

►

The purpose for this thesis is to investigate the mechanical properties of the aluminum foil used for packaging industry, the reaction of the material… (more)

Subjects/Keywords: ABAQUS; Adhesion; Finite Element Methods; Numerical Simulation; LDPE.

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APA (6^th Edition):

Sharif, U. (2012). Fracture Toughness Analysis of Aluminium Foil and its Adhesion with LDPE for Packaging Industry. (Thesis). , School of Engineering. Retrieved from http://urn.kb.se/resolve?urn=urn:nbn:se:bth-3070

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):

Sharif, Umer. “Fracture Toughness Analysis of Aluminium Foil and its Adhesion with LDPE for Packaging Industry.” 2012. Thesis, , School of Engineering. Accessed January 23, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-3070.

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

MLA Handbook (7^th Edition):

Sharif, Umer. “Fracture Toughness Analysis of Aluminium Foil and its Adhesion with LDPE for Packaging Industry.” 2012. Web. 23 Jan 2021.

Vancouver:

Sharif U. Fracture Toughness Analysis of Aluminium Foil and its Adhesion with LDPE for Packaging Industry. [Internet] [Thesis]. , School of Engineering; 2012. [cited 2021 Jan 23]. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:bth-3070.

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

Council of Science Editors:

Sharif U. Fracture Toughness Analysis of Aluminium Foil and its Adhesion with LDPE for Packaging Industry. [Thesis]. , School of Engineering; 2012. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:bth-3070

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

IUPUI

20. Liu, Yanzhi. Effects of modeling methods on the finite element analysis results of orthodontic applications.

Degree: 2017, IUPUI

URL: http://hdl.handle.net/1805/14404

Indiana University-Purdue University Indianapolis (IUPUI) Advisors/Committee Members: Chen, Jie, Wagner, Diane, El-Mounayri, Hazim.

Subjects/Keywords: Biomechanics; Finite Element Methods

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APA (6^th Edition):

Liu, Y. (2017). Effects of modeling methods on the finite element analysis results of orthodontic applications. (Thesis). IUPUI. Retrieved from http://hdl.handle.net/1805/14404

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):

Liu, Yanzhi. “Effects of modeling methods on the finite element analysis results of orthodontic applications.” 2017. Thesis, IUPUI. Accessed January 23, 2021. http://hdl.handle.net/1805/14404.

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

MLA Handbook (7^th Edition):

Liu, Yanzhi. “Effects of modeling methods on the finite element analysis results of orthodontic applications.” 2017. Web. 23 Jan 2021.

Vancouver:

Liu Y. Effects of modeling methods on the finite element analysis results of orthodontic applications. [Internet] [Thesis]. IUPUI; 2017. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/1805/14404.

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

Council of Science Editors:

Liu Y. Effects of modeling methods on the finite element analysis results of orthodontic applications. [Thesis]. IUPUI; 2017. Available from: http://hdl.handle.net/1805/14404

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

Delft University of Technology

21. Fick, P.W. (author). Goal-oriented a-posteriori error estimation and adaptivity for fluid-structure interaction: Application to a prototypical 2-D model problem.

Degree: Aerospace Engineering, Engineering Mechanics, 2008, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:a4dd8c82-0c46-4c1f-847b-7fd5d9b638be

►

In this thesis, we apply the existing framework for duality-based a posteriori error estimation and goaloriented adaptivity to a prototypical fluid-structure-interaction model problem. Specifically, we… (more)

Subjects/Keywords: adaptive finite element methods

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APA (6^th Edition):

Fick, P. W. (. (2008). Goal-oriented a-posteriori error estimation and adaptivity for fluid-structure interaction: Application to a prototypical 2-D model problem. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:a4dd8c82-0c46-4c1f-847b-7fd5d9b638be

Chicago Manual of Style (16^th Edition):

Fick, P W (author). “Goal-oriented a-posteriori error estimation and adaptivity for fluid-structure interaction: Application to a prototypical 2-D model problem.” 2008. Masters Thesis, Delft University of Technology. Accessed January 23, 2021. http://resolver.tudelft.nl/uuid:a4dd8c82-0c46-4c1f-847b-7fd5d9b638be.

MLA Handbook (7^th Edition):

Fick, P W (author). “Goal-oriented a-posteriori error estimation and adaptivity for fluid-structure interaction: Application to a prototypical 2-D model problem.” 2008. Web. 23 Jan 2021.

Vancouver:

Fick PW(. Goal-oriented a-posteriori error estimation and adaptivity for fluid-structure interaction: Application to a prototypical 2-D model problem. [Internet] [Masters thesis]. Delft University of Technology; 2008. [cited 2021 Jan 23]. Available from: http://resolver.tudelft.nl/uuid:a4dd8c82-0c46-4c1f-847b-7fd5d9b638be.

Council of Science Editors:

Fick PW(. Goal-oriented a-posteriori error estimation and adaptivity for fluid-structure interaction: Application to a prototypical 2-D model problem. [Masters Thesis]. Delft University of Technology; 2008. Available from: http://resolver.tudelft.nl/uuid:a4dd8c82-0c46-4c1f-847b-7fd5d9b638be

Delft University of Technology

22. Gonzalez de Diego, G. (author). A physics-compatible solver for turbidity currents.

Degree: 2017, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:5041132e-0468-4ed1-96db-61e27351281b

►

Turbidity currents are an essential agent of sediment transport from shallow to deeper waters. Detailed measurements of the velocity field or particle concentration are only… (more)

Subjects/Keywords: mimetic; energy conserving; physics compatible; turbidity currents; numerical methods; finite element

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APA (6^th Edition):

Gonzalez de Diego, G. (. (2017). A physics-compatible solver for turbidity currents. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:5041132e-0468-4ed1-96db-61e27351281b

Chicago Manual of Style (16^th Edition):

Gonzalez de Diego, G (author). “A physics-compatible solver for turbidity currents.” 2017. Masters Thesis, Delft University of Technology. Accessed January 23, 2021. http://resolver.tudelft.nl/uuid:5041132e-0468-4ed1-96db-61e27351281b.

MLA Handbook (7^th Edition):

Gonzalez de Diego, G (author). “A physics-compatible solver for turbidity currents.” 2017. Web. 23 Jan 2021.

Vancouver:

Gonzalez de Diego G(. A physics-compatible solver for turbidity currents. [Internet] [Masters thesis]. Delft University of Technology; 2017. [cited 2021 Jan 23]. Available from: http://resolver.tudelft.nl/uuid:5041132e-0468-4ed1-96db-61e27351281b.

Council of Science Editors:

Gonzalez de Diego G(. A physics-compatible solver for turbidity currents. [Masters Thesis]. Delft University of Technology; 2017. Available from: http://resolver.tudelft.nl/uuid:5041132e-0468-4ed1-96db-61e27351281b

Colorado State University

23. Hashmi, Bahaudin A. Pattern formation in reaction diffusion systems and ion bombardment of surfaces.

Degree: PhD, Mathematics, 2017, Colorado State University

URL: http://hdl.handle.net/10217/183970

► We have analyzed pattern formation in two different systems: (1) Vapor-to-particle reaction diffusion systems and (2) Highly ordered square arrays in ion bombardment. The vapor-to-particle… (more)

Subjects/Keywords: ion bombardment; threshold kinetics; nucleation and growth; finite element methods

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APA (6^th Edition):

Hashmi, B. A. (2017). Pattern formation in reaction diffusion systems and ion bombardment of surfaces. (Doctoral Dissertation). Colorado State University. Retrieved from http://hdl.handle.net/10217/183970

Chicago Manual of Style (16^th Edition):

Hashmi, Bahaudin A. “Pattern formation in reaction diffusion systems and ion bombardment of surfaces.” 2017. Doctoral Dissertation, Colorado State University. Accessed January 23, 2021. http://hdl.handle.net/10217/183970.

MLA Handbook (7^th Edition):

Hashmi, Bahaudin A. “Pattern formation in reaction diffusion systems and ion bombardment of surfaces.” 2017. Web. 23 Jan 2021.

Vancouver:

Hashmi BA. Pattern formation in reaction diffusion systems and ion bombardment of surfaces. [Internet] [Doctoral dissertation]. Colorado State University; 2017. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/10217/183970.

Council of Science Editors:

Hashmi BA. Pattern formation in reaction diffusion systems and ion bombardment of surfaces. [Doctoral Dissertation]. Colorado State University; 2017. Available from: http://hdl.handle.net/10217/183970

24. Krybus David. Numerical modeling of fluid-structure interaction .

Degree: 2014, Czech University of Technology

URL: http://hdl.handle.net/10467/30663

► A coupled fluid-structure interaction (FSI) analysis represents a challenging task from engineering point of view. Except a few special FSI problems, the only way to… (more)

▼ A coupled fluid-structure interaction (FSI) analysis represents a challenging task from engineering point of view. Except a few special FSI problems, the only way to perform interaction analysis is the use of experimental or numerical methods. This thesis deals with the numerical modeling of fluid-structure interaction adopting so-called staggered approach, which solves both phases separately and employs information exchange on the interface to enforce compatibility. The main objectives of this work are the formulation and development of a numerical model for the analysis of FSI problems, its implementation and validation on benchmark examples. The fluid flow is modeled by the finite element method using Lagrangian formulation of governing equations. This approach is based on the particle finite element method. The computational domain is discretized by abstract particles, for which the incompressible Navier-Stokes equations are solved in each time step, resulting in velocities and pressure values. Lagrangian approach requires frequent remeshing to avoid distortion of background elements defined by topology of particles. For these purposes, a mesh generator based on the Delaunay triangulation is implemented. The boundary of the domain is recovered by the Alpha Shape concept. The developed model of fluid flow is validated on the examples of the water column collapse and free oscillation of a liquid in a container. The coupling of the fluid and structural problems is enabled by the implementation of iterative solver using the Dirichlet-Neumann approach based on the exchange of velocity and pressure values on the interface. Capabilities of the pilot implementation are illustrated on an example of clamped elastic gate of a fluid container.; A coupled fluid-structure interaction (FSI) analysis represents a challenging task from engineering point of view. Except a few special FSI problems, the only way to perform interaction analysis is the use of experimental or numerical methods. This thesis deals with the numerical modeling of fluid-structure interaction adopting so-called staggered approach, which solves both phases separately and employs information exchange on the interface to enforce compatibility. The main objectives of this work are the formulation and development of a numerical model for the analysis of FSI problems, its implementation and validation on benchmark examples. The fluid flow is modeled by the finite element method using Lagrangian formulation of governing equations. This approach is based on the particle finite element method. The computational domain is discretized by abstract particles, for which the incompressible Navier-Stokes equations are solved in each time step, resulting in velocities and pressure values. Lagrangian approach requires frequent remeshing to avoid distortion of background elements defined by topology of particles. For these purposes, a mesh generator based on the Delaunay triangulation is implemented. The boundary of the domain is recovered by the Alpha Shape concept. The… Advisors/Committee Members: Patzák Bořek (advisor).

Subjects/Keywords: Particle finite element method; Fluid-structure interaction; Numerical methods

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APA (6^th Edition):

David, K. (2014). Numerical modeling of fluid-structure interaction . (Thesis). Czech University of Technology. Retrieved from http://hdl.handle.net/10467/30663

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):

David, Krybus. “Numerical modeling of fluid-structure interaction .” 2014. Thesis, Czech University of Technology. Accessed January 23, 2021. http://hdl.handle.net/10467/30663.

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

MLA Handbook (7^th Edition):

David, Krybus. “Numerical modeling of fluid-structure interaction .” 2014. Web. 23 Jan 2021.

Vancouver:

David K. Numerical modeling of fluid-structure interaction . [Internet] [Thesis]. Czech University of Technology; 2014. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/10467/30663.

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

Council of Science Editors:

David K. Numerical modeling of fluid-structure interaction . [Thesis]. Czech University of Technology; 2014. Available from: http://hdl.handle.net/10467/30663

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

University of Waterloo

25. Morgan, Adam. Finite Element Exterior Calculus with Applications to the Numerical Solution of the Green–Naghdi Equations.

Degree: 2018, University of Waterloo

URL: http://hdl.handle.net/10012/13560

► The study of finite element methods for the numerical solution of differential equations is one of the gems of modern mathematics, boasting rigorous analytical foundations… (more)

Subjects/Keywords: Numerical analysis; Finite element methods; Computational fluid dynamics; Applied topology

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APA (6^th Edition):

Morgan, A. (2018). Finite Element Exterior Calculus with Applications to the Numerical Solution of the Green–Naghdi Equations. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/13560

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):

Morgan, Adam. “Finite Element Exterior Calculus with Applications to the Numerical Solution of the Green–Naghdi Equations.” 2018. Thesis, University of Waterloo. Accessed January 23, 2021. http://hdl.handle.net/10012/13560.

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

MLA Handbook (7^th Edition):

Morgan, Adam. “Finite Element Exterior Calculus with Applications to the Numerical Solution of the Green–Naghdi Equations.” 2018. Web. 23 Jan 2021.

Vancouver:

Morgan A. Finite Element Exterior Calculus with Applications to the Numerical Solution of the Green–Naghdi Equations. [Internet] [Thesis]. University of Waterloo; 2018. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/10012/13560.

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

Council of Science Editors:

Morgan A. Finite Element Exterior Calculus with Applications to the Numerical Solution of the Green–Naghdi Equations. [Thesis]. University of Waterloo; 2018. Available from: http://hdl.handle.net/10012/13560

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

University of Georgia

26. Lanterman, James Maxwell. A generalization of bivariate splines over polygonal partitions and applications.

Degree: 2018, University of Georgia

URL: http://hdl.handle.net/10724/38433

► There has recently been interest in extending various finite element methods to more arbitrary partitions, particularly unstructured partitions of various polygons. Various methods aimed at… (more)

Subjects/Keywords: bivariate splines; partial differential equation; finite element methods; local basis

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APA (6^th Edition):

Lanterman, J. M. (2018). A generalization of bivariate splines over polygonal partitions and applications. (Thesis). University of Georgia. Retrieved from http://hdl.handle.net/10724/38433

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):

Lanterman, James Maxwell. “A generalization of bivariate splines over polygonal partitions and applications.” 2018. Thesis, University of Georgia. Accessed January 23, 2021. http://hdl.handle.net/10724/38433.

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

MLA Handbook (7^th Edition):

Lanterman, James Maxwell. “A generalization of bivariate splines over polygonal partitions and applications.” 2018. Web. 23 Jan 2021.

Vancouver:

Lanterman JM. A generalization of bivariate splines over polygonal partitions and applications. [Internet] [Thesis]. University of Georgia; 2018. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/10724/38433.

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

Council of Science Editors:

Lanterman JM. A generalization of bivariate splines over polygonal partitions and applications. [Thesis]. University of Georgia; 2018. Available from: http://hdl.handle.net/10724/38433

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

University of New South Wales

27. Mohammad Pour, Hooman. Numerical modelling of ocular accommodation process.

Degree: Mechanical & Manufacturing Engineering, 2014, University of New South Wales

URL: http://handle.unsw.edu.au/1959.4/53788 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:12487/SOURCE02?view=true

► The ocular accommodation mechanism, as the main apparatus in the eye responsible for maintaining required vision quality when looking at objects at various distances to… (more)

Subjects/Keywords: Crystalline lens; Finite Element Method; Accommodation; Numerical Methods; Presbyopia; Ray-tracing

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APA (6^th Edition):

Mohammad Pour, H. (2014). Numerical modelling of ocular accommodation process. (Doctoral Dissertation). University of New South Wales. Retrieved from http://handle.unsw.edu.au/1959.4/53788 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:12487/SOURCE02?view=true

Chicago Manual of Style (16^th Edition):

Mohammad Pour, Hooman. “Numerical modelling of ocular accommodation process.” 2014. Doctoral Dissertation, University of New South Wales. Accessed January 23, 2021. http://handle.unsw.edu.au/1959.4/53788 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:12487/SOURCE02?view=true.

MLA Handbook (7^th Edition):

Mohammad Pour, Hooman. “Numerical modelling of ocular accommodation process.” 2014. Web. 23 Jan 2021.

Vancouver:

Mohammad Pour H. Numerical modelling of ocular accommodation process. [Internet] [Doctoral dissertation]. University of New South Wales; 2014. [cited 2021 Jan 23]. Available from: http://handle.unsw.edu.au/1959.4/53788 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:12487/SOURCE02?view=true.

Council of Science Editors:

Mohammad Pour H. Numerical modelling of ocular accommodation process. [Doctoral Dissertation]. University of New South Wales; 2014. Available from: http://handle.unsw.edu.au/1959.4/53788 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:12487/SOURCE02?view=true

Purdue University

28. Thete, Sumeet Suresh. Singularities in Free Surface Flows.

Degree: PhD, Chemical Engineering, 2016, Purdue University

URL: https://docs.lib.purdue.edu/open_access_dissertations/1398

► Free surface flows where the shape of the interface separating two or more phases or liquids are unknown apriori, are commonplace in industrial applications and… (more)

Subjects/Keywords: Asymptotic analysis; Complex Fluids; Drops; Finite Element Methods; Scaling; Self-similarity

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APA (6^th Edition):

Thete, S. S. (2016). Singularities in Free Surface Flows. (Doctoral Dissertation). Purdue University. Retrieved from https://docs.lib.purdue.edu/open_access_dissertations/1398

Chicago Manual of Style (16^th Edition):

Thete, Sumeet Suresh. “Singularities in Free Surface Flows.” 2016. Doctoral Dissertation, Purdue University. Accessed January 23, 2021. https://docs.lib.purdue.edu/open_access_dissertations/1398.

MLA Handbook (7^th Edition):

Thete, Sumeet Suresh. “Singularities in Free Surface Flows.” 2016. Web. 23 Jan 2021.

Vancouver:

Thete SS. Singularities in Free Surface Flows. [Internet] [Doctoral dissertation]. Purdue University; 2016. [cited 2021 Jan 23]. Available from: https://docs.lib.purdue.edu/open_access_dissertations/1398.

Council of Science Editors:

Thete SS. Singularities in Free Surface Flows. [Doctoral Dissertation]. Purdue University; 2016. Available from: https://docs.lib.purdue.edu/open_access_dissertations/1398

Oklahoma State University

29. Vaidya, Rohit. Structural Analysis of Poly Ethylene Terephthalate Bottles Using the Finite Element Method.

Degree: Mechanical & Aerospace Engineering, 2012, Oklahoma State University

URL: http://hdl.handle.net/11244/10081

► Light weighting of PET bottles not only reduces material usage but also minimizes the impact on the environment. This has been a driving force behind… (more)

Subjects/Keywords: 3d scanning; bending; bottles; finite element methods; hoop strength; structural analysis

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APA (6^th Edition):

Vaidya, R. (2012). Structural Analysis of Poly Ethylene Terephthalate Bottles Using the Finite Element Method. (Thesis). Oklahoma State University. Retrieved from http://hdl.handle.net/11244/10081

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):

Vaidya, Rohit. “Structural Analysis of Poly Ethylene Terephthalate Bottles Using the Finite Element Method.” 2012. Thesis, Oklahoma State University. Accessed January 23, 2021. http://hdl.handle.net/11244/10081.

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

MLA Handbook (7^th Edition):

Vaidya, Rohit. “Structural Analysis of Poly Ethylene Terephthalate Bottles Using the Finite Element Method.” 2012. Web. 23 Jan 2021.

Vancouver:

Vaidya R. Structural Analysis of Poly Ethylene Terephthalate Bottles Using the Finite Element Method. [Internet] [Thesis]. Oklahoma State University; 2012. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/11244/10081.

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

Council of Science Editors:

Vaidya R. Structural Analysis of Poly Ethylene Terephthalate Bottles Using the Finite Element Method. [Thesis]. Oklahoma State University; 2012. Available from: http://hdl.handle.net/11244/10081

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

Colorado State University

30. Smull, Aaron P. Conformal perfectly matched layer for electrically large curvilinear higher order finite element methods in electromagnetics, The.

Degree: MS(M.S.), Electrical and Computer Engineering, 2017, Colorado State University

URL: http://hdl.handle.net/10217/184021

► The implementation of open-region boundary conditions in computational electromagnetics for higher order finite element methods presents a well known set of challenges. One such boundary… (more)

Subjects/Keywords: finite element method; perfectly matched layer; computational electromagnetics; scattering; numerical methods

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APA (6^th Edition):

Smull, A. P. (2017). Conformal perfectly matched layer for electrically large curvilinear higher order finite element methods in electromagnetics, The. (Masters Thesis). Colorado State University. Retrieved from http://hdl.handle.net/10217/184021

Chicago Manual of Style (16^th Edition):

Smull, Aaron P. “Conformal perfectly matched layer for electrically large curvilinear higher order finite element methods in electromagnetics, The.” 2017. Masters Thesis, Colorado State University. Accessed January 23, 2021. http://hdl.handle.net/10217/184021.

MLA Handbook (7^th Edition):

Smull, Aaron P. “Conformal perfectly matched layer for electrically large curvilinear higher order finite element methods in electromagnetics, The.” 2017. Web. 23 Jan 2021.

Vancouver:

Smull AP. Conformal perfectly matched layer for electrically large curvilinear higher order finite element methods in electromagnetics, The. [Internet] [Masters thesis]. Colorado State University; 2017. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/10217/184021.

Council of Science Editors:

Smull AP. Conformal perfectly matched layer for electrically large curvilinear higher order finite element methods in electromagnetics, The. [Masters Thesis]. Colorado State University; 2017. Available from: http://hdl.handle.net/10217/184021

Open Access Theses and Dissertations