subject:(Homogenization Differential equations )

Oregon State University

1. Morales, Fernando A. Multiscale analysis of saturated flow in a porous medium with an adjacent thin channel.

Degree: PhD, Mathematics, 2011, Oregon State University

URL: http://hdl.handle.net/1957/21530

► This thesis contains three parts addressing the asymptotic analysis of fluid flow through fully saturated porous medium in the presence of an adjacent thin channel.… (more)

Subjects/Keywords: Porous Media; Homogenization (Differential equations)

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APA (6^th Edition):

Morales, F. A. (2011). Multiscale analysis of saturated flow in a porous medium with an adjacent thin channel. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/21530

Chicago Manual of Style (16^th Edition):

Morales, Fernando A. “Multiscale analysis of saturated flow in a porous medium with an adjacent thin channel.” 2011. Doctoral Dissertation, Oregon State University. Accessed April 20, 2021. http://hdl.handle.net/1957/21530.

MLA Handbook (7^th Edition):

Morales, Fernando A. “Multiscale analysis of saturated flow in a porous medium with an adjacent thin channel.” 2011. Web. 20 Apr 2021.

Vancouver:

Morales FA. Multiscale analysis of saturated flow in a porous medium with an adjacent thin channel. [Internet] [Doctoral dissertation]. Oregon State University; 2011. [cited 2021 Apr 20]. Available from: http://hdl.handle.net/1957/21530.

Council of Science Editors:

Morales FA. Multiscale analysis of saturated flow in a porous medium with an adjacent thin channel. [Doctoral Dissertation]. Oregon State University; 2011. Available from: http://hdl.handle.net/1957/21530

University of Waterloo

2. Murley, Jonathan. The two-space homogenization method.

Degree: 2012, University of Waterloo

URL: http://hdl.handle.net/10012/7099

► In this thesis, we consider the two-space homogenization method, which produces macroscopic expressions out of descriptions of the behaviour of the microstructure. Specifically, we focus… (more)

Subjects/Keywords: homogenization; poroelasticity; partial differential equations

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APA (6^th Edition):

Murley, J. (2012). The two-space homogenization method. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/7099

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):

Murley, Jonathan. “The two-space homogenization method.” 2012. Thesis, University of Waterloo. Accessed April 20, 2021. http://hdl.handle.net/10012/7099.

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

MLA Handbook (7^th Edition):

Murley, Jonathan. “The two-space homogenization method.” 2012. Web. 20 Apr 2021.

Vancouver:

Murley J. The two-space homogenization method. [Internet] [Thesis]. University of Waterloo; 2012. [cited 2021 Apr 20]. Available from: http://hdl.handle.net/10012/7099.

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

Council of Science Editors:

Murley J. The two-space homogenization method. [Thesis]. University of Waterloo; 2012. Available from: http://hdl.handle.net/10012/7099

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

Hong Kong University of Science and Technology

3. Yang, Min. Unified framework for the dynamic effective properties of elastic meta-materials.

Degree: 2011, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-7096 ; https://doi.org/10.14711/thesis-b1129608 ; http://repository.ust.hk/ir/bitstream/1783.1-7096/1/th_redirect.html

► Although many theories have been proposed in order to determine the effective linear elastodynamic properties of composite media, a complete theory in the case with… (more)

Subjects/Keywords: Elasticity ; Materials – Dynamic testing ; Homogenization (Differential equations)

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APA (6^th Edition):

Yang, M. (2011). Unified framework for the dynamic effective properties of elastic meta-materials. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-7096 ; https://doi.org/10.14711/thesis-b1129608 ; http://repository.ust.hk/ir/bitstream/1783.1-7096/1/th_redirect.html

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):

Yang, Min. “Unified framework for the dynamic effective properties of elastic meta-materials.” 2011. Thesis, Hong Kong University of Science and Technology. Accessed April 20, 2021. http://repository.ust.hk/ir/Record/1783.1-7096 ; https://doi.org/10.14711/thesis-b1129608 ; http://repository.ust.hk/ir/bitstream/1783.1-7096/1/th_redirect.html.

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

MLA Handbook (7^th Edition):

Yang, Min. “Unified framework for the dynamic effective properties of elastic meta-materials.” 2011. Web. 20 Apr 2021.

Vancouver:

Yang M. Unified framework for the dynamic effective properties of elastic meta-materials. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2011. [cited 2021 Apr 20]. Available from: http://repository.ust.hk/ir/Record/1783.1-7096 ; https://doi.org/10.14711/thesis-b1129608 ; http://repository.ust.hk/ir/bitstream/1783.1-7096/1/th_redirect.html.

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

Council of Science Editors:

Yang M. Unified framework for the dynamic effective properties of elastic meta-materials. [Thesis]. Hong Kong University of Science and Technology; 2011. Available from: http://repository.ust.hk/ir/Record/1783.1-7096 ; https://doi.org/10.14711/thesis-b1129608 ; http://repository.ust.hk/ir/bitstream/1783.1-7096/1/th_redirect.html

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

Hong Kong University of Science and Technology

4. Chow, Ka Wing MATH. Self-similar solutions to curvature flows by homogeneous functions.

Degree: 2017, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-105921 ; https://doi.org/10.14711/thesis-991012563569203412 ; http://repository.ust.hk/ir/bitstream/1783.1-105921/1/th_redirect.html

► In this thesis, we study self-similar solutions to the mean curvature flow and parabolic inverse curvature flows by degree ‒1 homogeneous symmetric functions of principal… (more)

Subjects/Keywords: Self-similar processes ; Homogenization (Differential equations) ; Differential equations, Parabolic

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APA (6^th Edition):

Chow, K. W. M. (2017). Self-similar solutions to curvature flows by homogeneous functions. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-105921 ; https://doi.org/10.14711/thesis-991012563569203412 ; http://repository.ust.hk/ir/bitstream/1783.1-105921/1/th_redirect.html

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):

Chow, Ka Wing MATH. “Self-similar solutions to curvature flows by homogeneous functions.” 2017. Thesis, Hong Kong University of Science and Technology. Accessed April 20, 2021. http://repository.ust.hk/ir/Record/1783.1-105921 ; https://doi.org/10.14711/thesis-991012563569203412 ; http://repository.ust.hk/ir/bitstream/1783.1-105921/1/th_redirect.html.

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

MLA Handbook (7^th Edition):

Chow, Ka Wing MATH. “Self-similar solutions to curvature flows by homogeneous functions.” 2017. Web. 20 Apr 2021.

Vancouver:

Chow KWM. Self-similar solutions to curvature flows by homogeneous functions. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2017. [cited 2021 Apr 20]. Available from: http://repository.ust.hk/ir/Record/1783.1-105921 ; https://doi.org/10.14711/thesis-991012563569203412 ; http://repository.ust.hk/ir/bitstream/1783.1-105921/1/th_redirect.html.

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

Council of Science Editors:

Chow KWM. Self-similar solutions to curvature flows by homogeneous functions. [Thesis]. Hong Kong University of Science and Technology; 2017. Available from: http://repository.ust.hk/ir/Record/1783.1-105921 ; https://doi.org/10.14711/thesis-991012563569203412 ; http://repository.ust.hk/ir/bitstream/1783.1-105921/1/th_redirect.html

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

Utah State University

5. Lasisi, Abibat Adebisi. Multi-Resolution Analysis Using Wavelet Basis Conditioned on Homogenization.

Degree: PhD, Mathematics and Statistics, 2018, Utah State University

URL: https://digitalcommons.usu.edu/etd/7313

► This dissertation considers an approximation strategy using a wavelet reconstruction scheme for solving elliptic problems. The foci of the work are on (1) the… (more)

Subjects/Keywords: wavelet; homogenization; fast transform; elliptic differential equations; homogenization wavelet reconstruction; Mathematics

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APA (6^th Edition):

Lasisi, A. A. (2018). Multi-Resolution Analysis Using Wavelet Basis Conditioned on Homogenization. (Doctoral Dissertation). Utah State University. Retrieved from https://digitalcommons.usu.edu/etd/7313

Chicago Manual of Style (16^th Edition):

Lasisi, Abibat Adebisi. “Multi-Resolution Analysis Using Wavelet Basis Conditioned on Homogenization.” 2018. Doctoral Dissertation, Utah State University. Accessed April 20, 2021. https://digitalcommons.usu.edu/etd/7313.

MLA Handbook (7^th Edition):

Lasisi, Abibat Adebisi. “Multi-Resolution Analysis Using Wavelet Basis Conditioned on Homogenization.” 2018. Web. 20 Apr 2021.

Vancouver:

Lasisi AA. Multi-Resolution Analysis Using Wavelet Basis Conditioned on Homogenization. [Internet] [Doctoral dissertation]. Utah State University; 2018. [cited 2021 Apr 20]. Available from: https://digitalcommons.usu.edu/etd/7313.

Council of Science Editors:

Lasisi AA. Multi-Resolution Analysis Using Wavelet Basis Conditioned on Homogenization. [Doctoral Dissertation]. Utah State University; 2018. Available from: https://digitalcommons.usu.edu/etd/7313

Hong Kong University of Science and Technology

6. Yang, Min. Metamaterial homogenization and acoustic metasurface.

Degree: 2014, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-65681 ; https://doi.org/10.14711/thesis-b1302212 ; http://repository.ust.hk/ir/bitstream/1783.1-65681/1/th_redirect.html

► In this thesis, I present a homogenization scheme for acoustic metamaterials that is based on reproducing the lowest orders of scattering amplitudes from a finite… (more)

▼ In this thesis, I present a homogenization scheme for acoustic metamaterials that is based on reproducing the lowest orders of scattering amplitudes from a finite volume of metamaterials. This approach is noted to differ significantly from that of coherent potential approximation, which is based on adjusting the effective medium parameters to minimize scatterings in the long wavelength limit. With the aid of metamaterials' eigenstates, the effective parameters such as mass density and elastic modulus can be obtained by matching the surface responses of a metamaterial's structural unit cell with a piece of homogenized material. From Green theorem applied to the exterior domain problem, matching the surface responses is noted to be the same as reproducing the scattering amplitudes. We verify our scheme by applying it to six examples from three different types of wave: elastic shear wave, acoustic pressure wave, and membrane-type metamaterial, which is a coupling between elastic and acoustic waves. It is shown that the predicted characteristics and wave fields agree almost exactly with numerical simulations and experiments, and the scheme's validity is constrained by the number of dominant surface muli-poles instead of the usual long wavelength assumption. In particular, the validity extends to the full band in one dimension and to regimes near the boundaries of the Brillouin zone in two dimensions. The understandings and relevant techniques of the homogenization scheme facilitate the design of metamaterials. The acoustic metasurface is presented as an example. We show that by covering a hard reflecting surface by a decorated elastic membrane that is separated from the surface by a gap that is on the order of 1 to 2 cm, one can realize robust surface resonances, each hybridized from two membrane eigenmodes, which enable perfect impedance matching to airborne sound. Experiment confirms a hybrid resonance at 152 Hz accompanied by a total absorption of acoustic energy. Owing to the large displacement of the surface resonance, an acoustic to electric energy conversion efficiency of 23% has been achieved, thereby making the system an acoustic-electric transducer.

Subjects/Keywords: Metamaterials ; Acoustical materials ; Homogenization (Differential equations) ; Surfaces (Physics)

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APA (6^th Edition):

Yang, M. (2014). Metamaterial homogenization and acoustic metasurface. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-65681 ; https://doi.org/10.14711/thesis-b1302212 ; http://repository.ust.hk/ir/bitstream/1783.1-65681/1/th_redirect.html

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):

Yang, Min. “Metamaterial homogenization and acoustic metasurface.” 2014. Thesis, Hong Kong University of Science and Technology. Accessed April 20, 2021. http://repository.ust.hk/ir/Record/1783.1-65681 ; https://doi.org/10.14711/thesis-b1302212 ; http://repository.ust.hk/ir/bitstream/1783.1-65681/1/th_redirect.html.

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

MLA Handbook (7^th Edition):

Yang, Min. “Metamaterial homogenization and acoustic metasurface.” 2014. Web. 20 Apr 2021.

Vancouver:

Yang M. Metamaterial homogenization and acoustic metasurface. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2014. [cited 2021 Apr 20]. Available from: http://repository.ust.hk/ir/Record/1783.1-65681 ; https://doi.org/10.14711/thesis-b1302212 ; http://repository.ust.hk/ir/bitstream/1783.1-65681/1/th_redirect.html.

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

Council of Science Editors:

Yang M. Metamaterial homogenization and acoustic metasurface. [Thesis]. Hong Kong University of Science and Technology; 2014. Available from: http://repository.ust.hk/ir/Record/1783.1-65681 ; https://doi.org/10.14711/thesis-b1302212 ; http://repository.ust.hk/ir/bitstream/1783.1-65681/1/th_redirect.html

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

University of Washington

7. Iyer, Karthik Venkatraman. Inverse Problems for Linear and Non-linear Elliptic Equations.

Degree: PhD, 2018, University of Washington

URL: http://hdl.handle.net/1773/42457

► An inverse problem is a mathematical framework that is used to obtain information about a physical object or system from observed measurements. A typical inverse… (more)

Subjects/Keywords: homogenization; inverse problems; partial differential equations; Mathematics; Mathematics

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APA (6^th Edition):

Iyer, K. V. (2018). Inverse Problems for Linear and Non-linear Elliptic Equations. (Doctoral Dissertation). University of Washington. Retrieved from http://hdl.handle.net/1773/42457

Chicago Manual of Style (16^th Edition):

Iyer, Karthik Venkatraman. “Inverse Problems for Linear and Non-linear Elliptic Equations.” 2018. Doctoral Dissertation, University of Washington. Accessed April 20, 2021. http://hdl.handle.net/1773/42457.

MLA Handbook (7^th Edition):

Iyer, Karthik Venkatraman. “Inverse Problems for Linear and Non-linear Elliptic Equations.” 2018. Web. 20 Apr 2021.

Vancouver:

Iyer KV. Inverse Problems for Linear and Non-linear Elliptic Equations. [Internet] [Doctoral dissertation]. University of Washington; 2018. [cited 2021 Apr 20]. Available from: http://hdl.handle.net/1773/42457.

Council of Science Editors:

Iyer KV. Inverse Problems for Linear and Non-linear Elliptic Equations. [Doctoral Dissertation]. University of Washington; 2018. Available from: http://hdl.handle.net/1773/42457

Duke University

8. Chavez, Esteban Alejandro. Limit Theorems for Differential Equations in Random Media .

Degree: 2012, Duke University

URL: http://hdl.handle.net/10161/5437

► Problems in stochastic homogenization theory typically deal with approximating differential operators with rapidly oscillatory random coefficients by operators with homogenized deterministic coefficients. Even though… (more)

Subjects/Keywords: Mathematics; Homogenization Theory; Partial Differential Equations; Random Media

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APA (6^th Edition):

Chavez, E. A. (2012). Limit Theorems for Differential Equations in Random Media . (Thesis). Duke University. Retrieved from http://hdl.handle.net/10161/5437

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):

Chavez, Esteban Alejandro. “Limit Theorems for Differential Equations in Random Media .” 2012. Thesis, Duke University. Accessed April 20, 2021. http://hdl.handle.net/10161/5437.

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

MLA Handbook (7^th Edition):

Chavez, Esteban Alejandro. “Limit Theorems for Differential Equations in Random Media .” 2012. Web. 20 Apr 2021.

Vancouver:

Chavez EA. Limit Theorems for Differential Equations in Random Media . [Internet] [Thesis]. Duke University; 2012. [cited 2021 Apr 20]. Available from: http://hdl.handle.net/10161/5437.

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

Council of Science Editors:

Chavez EA. Limit Theorems for Differential Equations in Random Media . [Thesis]. Duke University; 2012. Available from: http://hdl.handle.net/10161/5437

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

University of Oxford

9. Kiradjiev, Kristian. Modelling removal of sulphur dioxide from flue gas in purification devices.

Degree: PhD, 2020, University of Oxford

URL: http://ora.ox.ac.uk/objects/uuid:4836c40e-475c-415f-83f3-5dcc6ef323c8 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.823540

► Many chemical filters contain reactive components where harmful substances are removed or transformed. In this thesis, we consider the problem of removal of sulphur dioxide… (more)

▼ Many chemical filters contain reactive components where harmful substances are removed or transformed. In this thesis, we consider the problem of removal of sulphur dioxide from flue gas using filters made from a porous catalytic medium. This is inspired by a filter, designed by W. L. Gore and Associates, Inc., which converts gaseous sulphur dioxide into liquid sulphuric acid via a chemical reaction that occurs on the surface of microscopic catalytic pellets. During the device operation, the liquid sulphuric acid accumulates within the filter and reduces its efficiency. We derive a series of mathematical models that explore various aspects of this problem and ultimately serve to predict the performance of the device. We begin by considering a fundamental fluid dynamics problem of spreading of a thin film under surface tension with liquid injection due to the chemical reaction. We then formulate a microscale model for the gas and liquid transport within the porous filter material and, separately, present a radially symmetric model for a single catalytic pellet, which we use to estimate the unknown reaction rate constant based on real observations. Although we do not explicitly account for the porous scaffold of the filter, the model set-up is appropriate for the case of hydrophobic material. We move on to upscale the microscale equations to a set of device-scale equations using homogenisation techniques. We obtain numerical solutions and asymptotic predictions for various limits that compare well, and also explore the effect of changing the system parameters, such as the gas speed, on the effective cleansing of flue gas. In addition, we develop a model for two neighbouring pellets, one of which is completely submerged by sulphuric acid, which is useful to understand the long-term behaviour of the system once a continuous layer of liquid forms near the surface of the filter sheets. We also study a simplified problem where the filter is made from hydrophilic material and identify the key differences in the resulting liquid transport. Finally, we present a model for the hygroscopy of sulphuric acid, which helps evaluate the effect of water absorption on the liquid growth within the filter. All the models we develop retain generality and can be applied to other physical and industrial processes.

Subjects/Keywords: Homogenization (Differential equations); Asymptotic expansions; Gases – Filtration; Chemical reactions; Fluid dynamics

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APA (6^th Edition):

Kiradjiev, K. (2020). Modelling removal of sulphur dioxide from flue gas in purification devices. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:4836c40e-475c-415f-83f3-5dcc6ef323c8 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.823540

Chicago Manual of Style (16^th Edition):

Kiradjiev, Kristian. “Modelling removal of sulphur dioxide from flue gas in purification devices.” 2020. Doctoral Dissertation, University of Oxford. Accessed April 20, 2021. http://ora.ox.ac.uk/objects/uuid:4836c40e-475c-415f-83f3-5dcc6ef323c8 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.823540.

MLA Handbook (7^th Edition):

Kiradjiev, Kristian. “Modelling removal of sulphur dioxide from flue gas in purification devices.” 2020. Web. 20 Apr 2021.

Vancouver:

Kiradjiev K. Modelling removal of sulphur dioxide from flue gas in purification devices. [Internet] [Doctoral dissertation]. University of Oxford; 2020. [cited 2021 Apr 20]. Available from: http://ora.ox.ac.uk/objects/uuid:4836c40e-475c-415f-83f3-5dcc6ef323c8 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.823540.

Council of Science Editors:

Kiradjiev K. Modelling removal of sulphur dioxide from flue gas in purification devices. [Doctoral Dissertation]. University of Oxford; 2020. Available from: http://ora.ox.ac.uk/objects/uuid:4836c40e-475c-415f-83f3-5dcc6ef323c8 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.823540

University of Kentucky

10. Russell, Brandon C. HOMOGENIZATION IN PERFORATED DOMAINS AND WITH SOFT INCLUSIONS.

Degree: 2018, University of Kentucky

URL: https://uknowledge.uky.edu/math_etds/55

► In this dissertation, we first provide a short introduction to qualitative homogenization of elliptic equations and systems. We collect relevant and known results regarding elliptic… (more)

Subjects/Keywords: Partial differential equations; elliptic equations; homogenization; linear elasticity; media with periodic structure; Analysis; Partial Differential Equations

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APA (6^th Edition):

Russell, B. C. (2018). HOMOGENIZATION IN PERFORATED DOMAINS AND WITH SOFT INCLUSIONS. (Doctoral Dissertation). University of Kentucky. Retrieved from https://uknowledge.uky.edu/math_etds/55

Chicago Manual of Style (16^th Edition):

Russell, Brandon C. “HOMOGENIZATION IN PERFORATED DOMAINS AND WITH SOFT INCLUSIONS.” 2018. Doctoral Dissertation, University of Kentucky. Accessed April 20, 2021. https://uknowledge.uky.edu/math_etds/55.

MLA Handbook (7^th Edition):

Russell, Brandon C. “HOMOGENIZATION IN PERFORATED DOMAINS AND WITH SOFT INCLUSIONS.” 2018. Web. 20 Apr 2021.

Vancouver:

Russell BC. HOMOGENIZATION IN PERFORATED DOMAINS AND WITH SOFT INCLUSIONS. [Internet] [Doctoral dissertation]. University of Kentucky; 2018. [cited 2021 Apr 20]. Available from: https://uknowledge.uky.edu/math_etds/55.

Council of Science Editors:

Russell BC. HOMOGENIZATION IN PERFORATED DOMAINS AND WITH SOFT INCLUSIONS. [Doctoral Dissertation]. University of Kentucky; 2018. Available from: https://uknowledge.uky.edu/math_etds/55

Karlstad University

11. Johansson, David. Towards Identification of Effective Parameters in Heterogeneous Media.

Degree: 2020, Karlstad University

URL: http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-78390

► In this thesis we study a parameter identification problem for a stationary diffusion equation posed in heterogeneous media. This problem is closely related to… (more)

▼ In this thesis we study a parameter identification problem for a stationary diffusion equation posed in heterogeneous media. This problem is closely related to the Calderón problem with anisotropic conductivities. The anisotropic case is particularly difficult and is ill-posed both in regards to uniqueness of solution and stability on the data. Since the present problem is posed in heterogeneous media, we can take advantage of multiscale modelling and the tools of homogenization theory in the study of the inverse problem, unlike the original Calderón problem. We investigate the possibilities of combining the theory of the Calderón problem with homogenization theory in order to obtain a well-posed parameter identification. We find that homogenization theory indeed can be used to make progress towards a well-posed identification of the diffusion coefficient. The success of the method is, however, dependent both on the precise structure of the heterogeneous media and on the modelling of the measurements in the invese problem framework. We have in mind a particular problem formulation which is motivated by an experiment to determine effective coefficients of materials used in food packaging. This experiment comes with a set of requirements on both the heterogeneous media and on the method for making measurements that, unfortunately, are in conflict with the currently available results for well-posedness. We study also an optimization approach to solving the inverse problem under these application specific requirements. Some progress towards well-posedness of the optimization problem is made by proving existence of minimizer, again with homogenization theory playing a key role in obtaining the result. In a proof-of-concept computational study this optimization approach is implemented and compared to two other optimization problems. For the two tested heterogeneous media, the only optimization method that manages to identify reasonably well the diffusion coefficient is the one which makes use of homogenization theory.

Subjects/Keywords: parameter identification; multiscale modelling; homogenization theory; partial differential equations; inverse modelling; Mathematics; Matematik

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APA (6^th Edition):

Johansson, D. (2020). Towards Identification of Effective Parameters in Heterogeneous Media. (Thesis). Karlstad University. Retrieved from http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-78390

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):

Johansson, David. “Towards Identification of Effective Parameters in Heterogeneous Media.” 2020. Thesis, Karlstad University. Accessed April 20, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-78390.

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

MLA Handbook (7^th Edition):

Johansson, David. “Towards Identification of Effective Parameters in Heterogeneous Media.” 2020. Web. 20 Apr 2021.

Vancouver:

Johansson D. Towards Identification of Effective Parameters in Heterogeneous Media. [Internet] [Thesis]. Karlstad University; 2020. [cited 2021 Apr 20]. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-78390.

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

Council of Science Editors:

Johansson D. Towards Identification of Effective Parameters in Heterogeneous Media. [Thesis]. Karlstad University; 2020. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-78390

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

Michigan State University

12. Xu, Lan. Fiber waviness and bonding conditions on composite performance by homogenization method.

Degree: PhD, Department of Materials Science and Mechanics, 1996, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:24531

Subjects/Keywords: Fibrous composites – Testing; Homogenization (Differential equations)

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APA (6^th Edition):

Xu, L. (1996). Fiber waviness and bonding conditions on composite performance by homogenization method. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:24531

Chicago Manual of Style (16^th Edition):

Xu, Lan. “Fiber waviness and bonding conditions on composite performance by homogenization method.” 1996. Doctoral Dissertation, Michigan State University. Accessed April 20, 2021. http://etd.lib.msu.edu/islandora/object/etd:24531.

MLA Handbook (7^th Edition):

Xu, Lan. “Fiber waviness and bonding conditions on composite performance by homogenization method.” 1996. Web. 20 Apr 2021.

Vancouver:

Xu L. Fiber waviness and bonding conditions on composite performance by homogenization method. [Internet] [Doctoral dissertation]. Michigan State University; 1996. [cited 2021 Apr 20]. Available from: http://etd.lib.msu.edu/islandora/object/etd:24531.

Council of Science Editors:

Xu L. Fiber waviness and bonding conditions on composite performance by homogenization method. [Doctoral Dissertation]. Michigan State University; 1996. Available from: http://etd.lib.msu.edu/islandora/object/etd:24531

University of Kentucky

13. Gu, Shu. Homogenization of Stokes Systems with Periodic Coefficients.

Degree: 2016, University of Kentucky

URL: https://uknowledge.uky.edu/math_etds/39

► In this dissertation we study the quantitative theory in homogenization of Stokes systems. We study uniform regularity estimates for a family of Stokes systems with… (more)

Subjects/Keywords: Homogenization; Stokes systems; convergence rates; uniform regularity; Dirichlet problem; Neumann problem; Analysis; Partial Differential Equations

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APA (6^th Edition):

Gu, S. (2016). Homogenization of Stokes Systems with Periodic Coefficients. (Doctoral Dissertation). University of Kentucky. Retrieved from https://uknowledge.uky.edu/math_etds/39

Chicago Manual of Style (16^th Edition):

Gu, Shu. “Homogenization of Stokes Systems with Periodic Coefficients.” 2016. Doctoral Dissertation, University of Kentucky. Accessed April 20, 2021. https://uknowledge.uky.edu/math_etds/39.

MLA Handbook (7^th Edition):

Gu, Shu. “Homogenization of Stokes Systems with Periodic Coefficients.” 2016. Web. 20 Apr 2021.

Vancouver:

Gu S. Homogenization of Stokes Systems with Periodic Coefficients. [Internet] [Doctoral dissertation]. University of Kentucky; 2016. [cited 2021 Apr 20]. Available from: https://uknowledge.uky.edu/math_etds/39.

Council of Science Editors:

Gu S. Homogenization of Stokes Systems with Periodic Coefficients. [Doctoral Dissertation]. University of Kentucky; 2016. Available from: https://uknowledge.uky.edu/math_etds/39

14. Torres, Mónica. Plane-like minimal surfaces in periodic media with inclusions.

Degree: PhD, Mathematics, 2002, University of Texas – Austin

URL: http://hdl.handle.net/2152/999

Subjects/Keywords: Minimal surfaces; Homogenization (Differential equations)

…area of partial differential equations. Also, I am very grateful to Professor Rafael de la… …with a great deal of insight towards the understanding of partial differential equations… …theory of homogenization of Hamilton-Jacobi equations. In this work we think of Rn as a lattice… …mathematical areas of minimal surfaces and homogenization of PDE have been subjects of research for… …Theorem 1 . . . . . . . 1 1 . . . . . 7 7 13 17 20 21 Chapter 3. Homogenization for n=2. 3.1…

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APA (6^th Edition):

Torres, M. (2002). Plane-like minimal surfaces in periodic media with inclusions. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/999

Chicago Manual of Style (16^th Edition):

Torres, Mónica. “Plane-like minimal surfaces in periodic media with inclusions.” 2002. Doctoral Dissertation, University of Texas – Austin. Accessed April 20, 2021. http://hdl.handle.net/2152/999.

MLA Handbook (7^th Edition):

Torres, Mónica. “Plane-like minimal surfaces in periodic media with inclusions.” 2002. Web. 20 Apr 2021.

Vancouver:

Torres M. Plane-like minimal surfaces in periodic media with inclusions. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2002. [cited 2021 Apr 20]. Available from: http://hdl.handle.net/2152/999.

Council of Science Editors:

Torres M. Plane-like minimal surfaces in periodic media with inclusions. [Doctoral Dissertation]. University of Texas – Austin; 2002. Available from: http://hdl.handle.net/2152/999

Drexel University

15. Binci, Massimiliano. A novel spectral framework for second-order homogenization theories.

Degree: 2008, Drexel University

URL: http://hdl.handle.net/1860/2662

► In the modern scenario of materials engineering, composite systems are emerging as leading materials in many technological applications. The increasing popularity depends on the specific… (more)

▼ In the modern scenario of materials engineering, composite systems are emerging as leading materials in many technological applications. The increasing popularity depends on the specific capacity for these materials to tailor their proprieties by varying their internal structure. Composites have unique combinations of properties that are not achievable by traditional materials. The synergy between the different constituents results in improved performance. Composites can reach very high specific strength and be extremely anisotropic. The anisotropic character can be enormously enhanced by optimizing the morphology of the microstructure. The unique capabilities and the competitive edge of composites in all fields of engineering have steered our curiosity toward the study their microstructure-property relationships.Recently we have developed a novel mathematical framework, called the Microstructure Sensitive Design (MSD), specifically introduced to address to the microstructure-property-processing paradigm of materials. The main feature of MSD is the simplification of the linkages in an appropriate spectral (Fourier) space and identification of the microstructure hull, i.e. the spectral domain of all possible microstructural realizations of a given material system. In this work we have extended the MSD framework to microstructure-property relationships of composites that utilize second-order homogenization theories. These latter are a formidable advancement over the previous first-order theories that accounted only for the volume fraction information of the material constituents. Second-order theories seize the morphological details of the microstructure and capture the anisotropy of materials. Using this new spectral framework we have successfully established macroscopic elastic properties of composites and delineated for the first time in literature the second-order property closures, i.e. the ensemble of feasible microstructures of a given material system satisfying prescribed performance conditions. Next, we shifted our attention to an important class of scalebridging relations, called localization linkages, which represent relevant phenomena, such as fracture and creep. The localization linkages connect the microscopic stresses or strains to the macroscopic loading conditions and they are described by fourth-rank tensors. The localization tensors are efficiently recast in the Fourier space as algebraic expressions whose coefficients do not depend on the microstructural details. These parameters, called influence coefficients, are constant for a given material system and define the local response of a composite with any morphology, however, are difficult to evaluate. In this work we have developed two different strategies to calculate the influence coefficients: the first consists in the direct numerical integration of the homogenization theories; the second approach is based on the calibration of these coefficients to the results of finite element micromechanical models. We show that that the spectral method is a… Advisors/Committee Members: Kalidindi, Surya, Department of Materials Science and Engineering, College of Engineering, Drexel University.

Subjects/Keywords: Materials science; Homogenization (Differential equations); Microstructure

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APA (6^th Edition):

Binci, M. (2008). A novel spectral framework for second-order homogenization theories. (Thesis). Drexel University. Retrieved from http://hdl.handle.net/1860/2662

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):

Binci, Massimiliano. “A novel spectral framework for second-order homogenization theories.” 2008. Thesis, Drexel University. Accessed April 20, 2021. http://hdl.handle.net/1860/2662.

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

MLA Handbook (7^th Edition):

Binci, Massimiliano. “A novel spectral framework for second-order homogenization theories.” 2008. Web. 20 Apr 2021.

Vancouver:

Binci M. A novel spectral framework for second-order homogenization theories. [Internet] [Thesis]. Drexel University; 2008. [cited 2021 Apr 20]. Available from: http://hdl.handle.net/1860/2662.

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

Council of Science Editors:

Binci M. A novel spectral framework for second-order homogenization theories. [Thesis]. Drexel University; 2008. Available from: http://hdl.handle.net/1860/2662

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

University of Missouri – Columbia

16. Kahl, John David, 1980-. Measures on Hilbert spaces and applications to hydrodynamics.

Degree: 2010, University of Missouri – Columbia

URL: http://hdl.handle.net/10355/8883

► Homogeneous and isotropic statistical solutions of the Navier-Stokes equations are produced. These are shown to be approximated by Galyerkin statistical solutions on finite dimensional subspaces.… (more)

Subjects/Keywords: Hilbert space; Navier-Stokes equations; Homogenization (Differential equations)

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APA (6^th Edition):

Kahl, John David, 1. (2010). Measures on Hilbert spaces and applications to hydrodynamics. (Thesis). University of Missouri – Columbia. Retrieved from http://hdl.handle.net/10355/8883

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):

Kahl, John David, 1980-. “Measures on Hilbert spaces and applications to hydrodynamics.” 2010. Thesis, University of Missouri – Columbia. Accessed April 20, 2021. http://hdl.handle.net/10355/8883.

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

MLA Handbook (7^th Edition):

Kahl, John David, 1980-. “Measures on Hilbert spaces and applications to hydrodynamics.” 2010. Web. 20 Apr 2021.

Vancouver:

Kahl, John David 1. Measures on Hilbert spaces and applications to hydrodynamics. [Internet] [Thesis]. University of Missouri – Columbia; 2010. [cited 2021 Apr 20]. Available from: http://hdl.handle.net/10355/8883.

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

Council of Science Editors:

Kahl, John David 1. Measures on Hilbert spaces and applications to hydrodynamics. [Thesis]. University of Missouri – Columbia; 2010. Available from: http://hdl.handle.net/10355/8883

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

University of Missouri – Columbia

17. Kahl, John David, 1980-. Measures on Hilbert spaces and applications to hydrodynamics.

Degree: 2010, University of Missouri – Columbia

URL: https://doi.org/10.32469/10355/8883

► Homogeneous and isotropic statistical solutions of the Navier-Stokes equations are produced. These are shown to be approximated by Galyerkin statistical solutions on finite dimensional subspaces.… (more)

Subjects/Keywords: Hilbert space; Navier-Stokes equations; Homogenization (Differential equations)

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

APA (6^th Edition):

Kahl, John David, 1. (2010). Measures on Hilbert spaces and applications to hydrodynamics. (Thesis). University of Missouri – Columbia. Retrieved from https://doi.org/10.32469/10355/8883

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):

Kahl, John David, 1980-. “Measures on Hilbert spaces and applications to hydrodynamics.” 2010. Thesis, University of Missouri – Columbia. Accessed April 20, 2021. https://doi.org/10.32469/10355/8883.

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

MLA Handbook (7^th Edition):

Kahl, John David, 1980-. “Measures on Hilbert spaces and applications to hydrodynamics.” 2010. Web. 20 Apr 2021.

Vancouver:

Kahl, John David 1. Measures on Hilbert spaces and applications to hydrodynamics. [Internet] [Thesis]. University of Missouri – Columbia; 2010. [cited 2021 Apr 20]. Available from: https://doi.org/10.32469/10355/8883.

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

Council of Science Editors:

Kahl, John David 1. Measures on Hilbert spaces and applications to hydrodynamics. [Thesis]. University of Missouri – Columbia; 2010. Available from: https://doi.org/10.32469/10355/8883

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

18. Schwab, Russell William, 1979-. Random and periodic homogenization for some nonlinear partial differential equations.

Degree: PhD, Mathematics, 2009, University of Texas – Austin

URL: http://hdl.handle.net/2152/18416

► In this dissertation we prove the homogenization for two very different classes of nonlinear partial differential equations and nonlinear elliptic integro-differential equations. The first result… (more)

Subjects/Keywords: Homogenization (Differential equations); Differential equations, Nonlinear; Hamilton-Jacobi equations

…second is a periodic homogenization result for fully nonlinear integro-differential equations… …results for the homogenization of nonlinear equations. The first is for time-space random… …homogenization of HamiltonJacobi equations. Such homogenization is new due to the presence of random… …x28;1.2) Until recently, stochastic homogenization results for such equations had been… …homogenization in the context of linear equations, the reader should consult the books, [9]…

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

APA (6^th Edition):

Schwab, Russell William, 1. (2009). Random and periodic homogenization for some nonlinear partial differential equations. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/18416

Chicago Manual of Style (16^th Edition):

Schwab, Russell William, 1979-. “Random and periodic homogenization for some nonlinear partial differential equations.” 2009. Doctoral Dissertation, University of Texas – Austin. Accessed April 20, 2021. http://hdl.handle.net/2152/18416.

MLA Handbook (7^th Edition):

Schwab, Russell William, 1979-. “Random and periodic homogenization for some nonlinear partial differential equations.” 2009. Web. 20 Apr 2021.

Vancouver:

Schwab, Russell William 1. Random and periodic homogenization for some nonlinear partial differential equations. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2009. [cited 2021 Apr 20]. Available from: http://hdl.handle.net/2152/18416.

Council of Science Editors:

Schwab, Russell William 1. Random and periodic homogenization for some nonlinear partial differential equations. [Doctoral Dissertation]. University of Texas – Austin; 2009. Available from: http://hdl.handle.net/2152/18416

Universidade Estadual de Campinas

19. Almeida, Fernanda Pereira da Silva, 1987-. Existência e homogeneização para um problema elíptico com fronteira livre não estacionária.

Degree: Instituto de Matemática, Estatística e Computação Científica; Programa de Pós-Graduação em Matemática, 2012, Universidade Estadual de Campinas

URL: ALMEIDA, Fernanda Pereira da Silva. Existência e homogeneização para um problema elíptico com fronteira livre não estacionária. 2012. 42 f. Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica, Campinas, SP. Disponível em: <http://www.repositorio.unicamp.br/handle/REPOSIP/306220>. Acesso em: 20 ago. 2018. ; http://repositorio.unicamp.br/jspui/handle/REPOSIP/306220

►

Orientador: Olivâine Santana de Queiroz

Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica

Made available in DSpace on 2018-08-20T15:36:39Z… (more)

▼

Orientador: Olivâine Santana de Queiroz

Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica

Made available in DSpace on 2018-08-20T15:36:39Z (GMT). No. of bitstreams: 1 Almeida_FernandaPereiradaSilva_M.pdf: 1905299 bytes, checksum: 26428236d161990046f1d1f982482fe1 (MD5) Previous issue date: 2012

Resumo: Na dissertação foi estudado um problema elíptico em um domínio limitado com bordo Lipschitz. Parte da fronteira deste domínio está em movimento e oscila rapidamente na variável que representa o espaço, caracterizando-se assim como um problema de fronteira livre com multi escala. Este problema tem aplicações, por exemplo, na construção de filmes semicondutores, levando-se em consideração que a superfície do filme se altera pela deposição de vapor químico. O estudo de tal modelo nos remete a questões de existência e unicidade para um sistema elíptico com condições de bordo do tipo misto acoplado à uma equação hiperbólica através de uma condição de fronteira livre. Além disso, um resultado de aproximação por homogeneização é demonstrado. De fato, provamos uma estimativa na norma H1 para o erro que se comete ao aproximar a fronteira livre real por uma fronteira livre homogeneizada

In this dissertation we study an elliptic problem in a bounded Lipschitz domain. Part of the boundary is moving and oscillates rapidly in the variable representing the space. Thus, we have a multi-scale free boundary problem. This problem has applications, for instance, in the construction of semiconductor films taking into account that the surface of the film is changing by chemical vapor deposition. The study of such a model leads us to questions of existence and uniqueness for a system involving an elliptic equation with mixed boundary conditions coupled to a hyperbolic equation by means of a free boundary condition. Furthermore, a result on approximation by homogenization is shown. In fact, an estimate in terms of the H1-norm of the error committed by to approximate the real free boundary problem by the homogenized one is proved

Mestrado

Matematica

Mestre em Matemática

Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS, Queiroz, Olivâine Santana de, 1977-, Ferreira, Lucas Catão de Freitas, Pereira, Marcone Corrêa.

Subjects/Keywords: Equações diferenciais elipticas; Problemas de fronteira livre; Homogeneização (Equações diferenciais); Teoremas de existência; Elliptic differential equations; Free boundary problems; Homogenization (Differential equations); Existence theorems

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APA (6^th Edition):

Almeida, Fernanda Pereira da Silva, 1. (2012). Existência e homogeneização para um problema elíptico com fronteira livre não estacionária. (Masters Thesis). Universidade Estadual de Campinas. Retrieved from ALMEIDA, Fernanda Pereira da Silva. Existência e homogeneização para um problema elíptico com fronteira livre não estacionária. 2012. 42 f. Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica, Campinas, SP. Disponível em: <http://www.repositorio.unicamp.br/handle/REPOSIP/306220>. Acesso em: 20 ago. 2018. ; http://repositorio.unicamp.br/jspui/handle/REPOSIP/306220

Chicago Manual of Style (16^th Edition):

Almeida, Fernanda Pereira da Silva, 1987-. “Existência e homogeneização para um problema elíptico com fronteira livre não estacionária.” 2012. Masters Thesis, Universidade Estadual de Campinas. Accessed April 20, 2021. ALMEIDA, Fernanda Pereira da Silva. Existência e homogeneização para um problema elíptico com fronteira livre não estacionária. 2012. 42 f. Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica, Campinas, SP. Disponível em: <http://www.repositorio.unicamp.br/handle/REPOSIP/306220>. Acesso em: 20 ago. 2018. ; http://repositorio.unicamp.br/jspui/handle/REPOSIP/306220.

MLA Handbook (7^th Edition):

Almeida, Fernanda Pereira da Silva, 1987-. “Existência e homogeneização para um problema elíptico com fronteira livre não estacionária.” 2012. Web. 20 Apr 2021.

Vancouver:

Almeida, Fernanda Pereira da Silva 1. Existência e homogeneização para um problema elíptico com fronteira livre não estacionária. [Internet] [Masters thesis]. Universidade Estadual de Campinas; 2012. [cited 2021 Apr 20]. Available from: ALMEIDA, Fernanda Pereira da Silva. Existência e homogeneização para um problema elíptico com fronteira livre não estacionária. 2012. 42 f. Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica, Campinas, SP. Disponível em: <http://www.repositorio.unicamp.br/handle/REPOSIP/306220>. Acesso em: 20 ago. 2018. ; http://repositorio.unicamp.br/jspui/handle/REPOSIP/306220.

Council of Science Editors:

Almeida, Fernanda Pereira da Silva 1. Existência e homogeneização para um problema elíptico com fronteira livre não estacionária. [Masters Thesis]. Universidade Estadual de Campinas; 2012. Available from: ALMEIDA, Fernanda Pereira da Silva. Existência e homogeneização para um problema elíptico com fronteira livre não estacionária. 2012. 42 f. Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica, Campinas, SP. Disponível em: <http://www.repositorio.unicamp.br/handle/REPOSIP/306220>. Acesso em: 20 ago. 2018. ; http://repositorio.unicamp.br/jspui/handle/REPOSIP/306220

University of Michigan

20. Pulizzotto, Ian Frederick. Heat flow in a random medium and homogenization.

Degree: PhD, Pure Sciences, 2001, University of Michigan

URL: http://hdl.handle.net/2027.42/123869

► Throughout this paper, we study heat flow in random versus homogeneous media. The main goal is to study in what sense the temperature u_epsilon(x, o)… (more)

Subjects/Keywords: Heat Flow; Homogenization; Partial Differential Equations; Random Medium

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APA (6^th Edition):

Pulizzotto, I. F. (2001). Heat flow in a random medium and homogenization. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/123869

Chicago Manual of Style (16^th Edition):

Pulizzotto, Ian Frederick. “Heat flow in a random medium and homogenization.” 2001. Doctoral Dissertation, University of Michigan. Accessed April 20, 2021. http://hdl.handle.net/2027.42/123869.

MLA Handbook (7^th Edition):

Pulizzotto, Ian Frederick. “Heat flow in a random medium and homogenization.” 2001. Web. 20 Apr 2021.

Vancouver:

Pulizzotto IF. Heat flow in a random medium and homogenization. [Internet] [Doctoral dissertation]. University of Michigan; 2001. [cited 2021 Apr 20]. Available from: http://hdl.handle.net/2027.42/123869.

Council of Science Editors:

Pulizzotto IF. Heat flow in a random medium and homogenization. [Doctoral Dissertation]. University of Michigan; 2001. Available from: http://hdl.handle.net/2027.42/123869

Stellenbosch University

21. Loubser, Zureka. A decision support tool for circular stockpile management using simulation.

Degree: MScEng, Industrial Engineering, 2012, Stellenbosch University

URL: http://hdl.handle.net/10019.1/71954

►

ENGLISH ABSTRACT: The aim of a blending stockpile is to minimise the natural variation in properties of a material deposit. In general the reduction in… (more)

▼

ENGLISH ABSTRACT: The aim of a blending stockpile is to minimise the natural variation in properties of a material deposit. In general the reduction in variation will result in a more efficient and cost effective downstream process. Stockpile management is an important part of the production manager’s duties, as it has a significant impact on the quality and consistency of the product delivered. Decisions in this regard are mostly driven by experience and specialised expertise, and a need has been identified to implement scientific methods in the decision-making process. A representational model-driven personal decision support system was designed which aims to assist the decision making process of a production planner/manager by providing information about the expected output grade variation from a circular stockpile. The core of the decision support tool is a model that simulates the behaviour of a continuous circular blending pile. The development of the simulation model extended work done by other authors by eliminating the assumptions of constant stacker flow and vertical reclaimer slices. A user interface was developed that makes the complex calculations behind the simulation easily accessible to planning and operational personnel. The validity of the simulation model was evaluated by using data from a case study. It was found that the coneshell model offers a reasonable representation of reality in the way that it simulates the movement of the stacker and reclaimer units around the pile, and proved able to predict peaks and troughs in the output grade to within 4% of the recorded values. Preliminary validation of the chevcon model delivered positive results, but further validation measured against recorded data would be necessary before implementation is considered. The simulation model was also used to investigate the sensitivity of blending efficiency to various input parameters. Under optimised conditions the output variance generated by the chevcon model was half of that achieved with coneshell stacking, proving that the investment in chevcon stacking infrastructure is one that every production facility seeking improvement in output grade consistency should consider. The research objectives set at the start of the study have been achieved, and results indicate that the decision support tool can be used to predict and the consistency of material grade as reclaimed from a circular blending pile.

AFRIKAANSE OPSOMMING: Die doel van ‘n mengbed is om die natuurlike variasie in eienskappe van ‘n mineraalafsetting the minimiseer. In die algemeen sal hierdie vermindering in variasie ‘n meer doeltreffende en effektiewe proses tot gevolg hê. Mengbed bestuur is ‘n belangrike deel van ‘n produksie bestuurder se pligte, aangesien dit ‘n merkbare invloed op die produk kwaliteit en eenvormigheid sal hê. Besluite in hierdie verband maak meestal staat op ervaring en gespesialiseerde kundigheid, maar ‘n behoefte om wetenskaplike metodes in hierdie besluitnemingsproses in te sluit is egter…

Advisors/Committee Members: Van der Merwe, Andre, De Korte, Johan, Stellenbosch University. Faculty of Engineering. Dept. of Industrial Engineering..

Subjects/Keywords: Circular stockpiles – Simulation; Bulk materials handling – Managment; Homogenization (Differential equations); Coneshell stacking; Chevcon stacking; Materials handling – Management; UCTD

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

APA (6^th Edition):

Loubser, Z. (2012). A decision support tool for circular stockpile management using simulation. (Masters Thesis). Stellenbosch University. Retrieved from http://hdl.handle.net/10019.1/71954

Chicago Manual of Style (16^th Edition):

Loubser, Zureka. “A decision support tool for circular stockpile management using simulation.” 2012. Masters Thesis, Stellenbosch University. Accessed April 20, 2021. http://hdl.handle.net/10019.1/71954.

MLA Handbook (7^th Edition):

Loubser, Zureka. “A decision support tool for circular stockpile management using simulation.” 2012. Web. 20 Apr 2021.

Vancouver:

Loubser Z. A decision support tool for circular stockpile management using simulation. [Internet] [Masters thesis]. Stellenbosch University; 2012. [cited 2021 Apr 20]. Available from: http://hdl.handle.net/10019.1/71954.

Council of Science Editors:

Loubser Z. A decision support tool for circular stockpile management using simulation. [Masters Thesis]. Stellenbosch University; 2012. Available from: http://hdl.handle.net/10019.1/71954

22. Canot, Hélène. Méthodes d’homogénéisation et simulations numériques appliquées à la réponse électromagnétique des matériaux multi-échelles complexes : Homogenization methods and numerical simulations applied to the electromagnetic response of complex multiscale materials.

Degree: Docteur es, Mathématiques, 2018, Lorient

URL: http://www.theses.fr/2018LORIS515

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Les travaux de cette thèse concernent l'homogénéisation d'équations de Maxwell harmoniques tridimensionnelles, modélisant la propagation d'une onde électromagnétique issue de la foudre, de l'air dans… (more)

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Les travaux de cette thèse concernent l'homogénéisation d'équations de Maxwell harmoniques tridimensionnelles, modélisant la propagation d'une onde électromagnétique issue de la foudre, de l'air dans le matériau composite. La problématique des composites étant, par exemple en aéronautique, l'évacuation de la foudre et la protection contre les agressions électromagnétiques. Nous considérons une structure constituée de fibres de carbone incluses dans une résine époxy qui sera elle-même nano chargée. Rendant ainsi le composite électriquement conducteur. Afin d'obtenir le problème homogénéisé nous utilisons l'analyse asymptotique à deux échelles. Puis nous justifions mathématiquement le résultat par la convergence à deux échelles. La solution du champ électrique est approchée par l'addition du champ électrique moyen et le champ correcteur, dépendant de la microstructure, et solution des problèmes de cellule. Dans la deuxième partie, nous proposons une validation numérique du modèle simplifié en 2D via des simulations avec le logiciel libre d'éléments finis Freefem ++. Trois cas tests seront présentés avant de valider la méthode d'homogénéisation. Enfin, en guise d'illustration du modèle, deux exemples d'agressions électromagnétiques : l'arc en retour de foudre de type A et une impulsion électromagnétique nucléaire seront testées dans le domaine fréquentiel.

The work of this thesis concerns the homogenization of three-dimensional harmonic Maxwell equations, modeling the propagation of an electromagnetic wave originating from lightning, from air in the composite material. The problem of composites being, for example in aeronautics, the evacuation of the lightning and the protection against the electromagnetic aggressions. We consider a structure made of carbon fibers included in an epoxy resin which will itself be nano- charged. Thus rendering the composite electrically conductive. In order to obtain the homogenized problem, we use asymptotic analysis at two scales. Then we mathematically justify the result by two-scale convergence. The solution of the electric field is approximated by the addition of the average electric field and the correct field, depending on the microstructure, and solution of the cell problems. In the second part, we propose a numerical validation of the simplified model in 2D via simulations with the free finite element software Freefem ++. Three test cases will be presented before validating the homogenization method. Finally, as an illustration of the model, two examples of electromagnetic aggression: the Type A lightning bolt and a nuclear electromagnetic pulse will be tested in the frequency domain.

Advisors/Committee Members: Frénod, Emmanuel (thesis director), Reineix, Alain (thesis director).

Subjects/Keywords: Freefem++; Convergence à deux échelles; Electromagnetic compatibility; Homogenization (Differential equations); Composite materials; Two-scale convergence; 515.35; 621.382 24; 620.118

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

APA (6^th Edition):

Canot, H. (2018). Méthodes d’homogénéisation et simulations numériques appliquées à la réponse électromagnétique des matériaux multi-échelles complexes : Homogenization methods and numerical simulations applied to the electromagnetic response of complex multiscale materials. (Doctoral Dissertation). Lorient. Retrieved from http://www.theses.fr/2018LORIS515

Chicago Manual of Style (16^th Edition):

Canot, Hélène. “Méthodes d’homogénéisation et simulations numériques appliquées à la réponse électromagnétique des matériaux multi-échelles complexes : Homogenization methods and numerical simulations applied to the electromagnetic response of complex multiscale materials.” 2018. Doctoral Dissertation, Lorient. Accessed April 20, 2021. http://www.theses.fr/2018LORIS515.

MLA Handbook (7^th Edition):

Canot, Hélène. “Méthodes d’homogénéisation et simulations numériques appliquées à la réponse électromagnétique des matériaux multi-échelles complexes : Homogenization methods and numerical simulations applied to the electromagnetic response of complex multiscale materials.” 2018. Web. 20 Apr 2021.

Vancouver:

Canot H. Méthodes d’homogénéisation et simulations numériques appliquées à la réponse électromagnétique des matériaux multi-échelles complexes : Homogenization methods and numerical simulations applied to the electromagnetic response of complex multiscale materials. [Internet] [Doctoral dissertation]. Lorient; 2018. [cited 2021 Apr 20]. Available from: http://www.theses.fr/2018LORIS515.

Council of Science Editors:

Canot H. Méthodes d’homogénéisation et simulations numériques appliquées à la réponse électromagnétique des matériaux multi-échelles complexes : Homogenization methods and numerical simulations applied to the electromagnetic response of complex multiscale materials. [Doctoral Dissertation]. Lorient; 2018. Available from: http://www.theses.fr/2018LORIS515

Michigan State University

23. Ou, Weian. Tailoring materials with prescribed constitutive parameters using polygonal cells.

Degree: MS, Department of Mechanical Engineering, 2001, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:31087

Subjects/Keywords: Homogenization (Differential equations); Polygons; Structural optimization; Topology

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

APA (6^th Edition):

Ou, W. (2001). Tailoring materials with prescribed constitutive parameters using polygonal cells. (Masters Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:31087

Chicago Manual of Style (16^th Edition):

Ou, Weian. “Tailoring materials with prescribed constitutive parameters using polygonal cells.” 2001. Masters Thesis, Michigan State University. Accessed April 20, 2021. http://etd.lib.msu.edu/islandora/object/etd:31087.

MLA Handbook (7^th Edition):

Ou, Weian. “Tailoring materials with prescribed constitutive parameters using polygonal cells.” 2001. Web. 20 Apr 2021.

Vancouver:

Ou W. Tailoring materials with prescribed constitutive parameters using polygonal cells. [Internet] [Masters thesis]. Michigan State University; 2001. [cited 2021 Apr 20]. Available from: http://etd.lib.msu.edu/islandora/object/etd:31087.

Council of Science Editors:

Ou W. Tailoring materials with prescribed constitutive parameters using polygonal cells. [Masters Thesis]. Michigan State University; 2001. Available from: http://etd.lib.msu.edu/islandora/object/etd:31087

Universidade Estadual de Campinas

24. Calixto, Tainan Khalil Leite, 1990-. Otimização topológica evolucionária multiescala aplicada a problemas de elasticidade linear.

Degree: Faculdade de Engenharia Mecânica; Programa de Pós-Graduação em Engenharia Mecânica, 2015, Universidade Estadual de Campinas

URL: CALIXTO, Tainan Khalil Leite. Otimização topológica evolucionária multiescala aplicada a problemas de elasticidade linear. 2015. 124 p. Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica, Campinas, SP. Disponível em: <http://www.repositorio.unicamp.br/handle/REPOSIP/265763>. Acesso em: 28 ago. 2018. ; http://repositorio.unicamp.br/jspui/handle/REPOSIP/265763

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Orientador: Renato Pavanello

Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica

Made available in DSpace on 2018-08-28T11:58:24Z (GMT). No. of bitstreams: 1… (more)

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Orientador: Renato Pavanello

Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica

Made available in DSpace on 2018-08-28T11:58:24Z (GMT). No. of bitstreams: 1 Calixto_TainanKhalilLeite_M.pdf: 15775150 bytes, checksum: e5e4d45becc32f922a1fd31b8f9bd3ab (MD5) Previous issue date: 2015

Resumo: A utilização de materiais de alta performance se tornou uma realidade em diversos campos da engenharia, como na indústria automotiva e aeroespacial, devido aos avanços nas técnicas de manufatura aditiva. Por outro lado, sabe-se que a otimização topológica estrutural é uma ferramenta de desenvolvimento de estruturas com ampla aplicação industrial. Dentre os vários métodos de otimização topológica existentes, a otimização estrutural evolucionária tem se destacado pela sua versatilidade, podendo ser utilizada em diversos tipos de problemas de engenharia. Na tentativa de combinar esses campos, este trabalho consiste no estudo do método de otimização evolucionária BESO (Bi-directional Evolutionary Structural Optimization) aplicado a sistemas bidimensionais multiescala a fim de se projetar as topologias ótimas, em ambas as escalas, de uma estrutura. A análise do modelo multiescala é feita através do método da homogeneização, onde o padrão do material microestrutural é considerado periódico. O algoritmo implementado pode buscar dois objetivos distintos: a minimização da flexibilidade média, que resulta na maximização da rigidez global; ou a maximização da frequência fundamental. Resultados numéricos do algoritmo são apresentados para o projeto de materiais, onde apenas a microestrutura é otimizada, e de estruturas, na qual otimiza-se as topologias nas duas escalas. Para a análise do desempenho do método de otimização multiescala, são propostos um índice de eficiência estrutural e uma metodologia de fabricação de estruturas periódicas

High-performance materials utilization became a reality in many fields of actual engineering, such as in automotive and aerospace industries, due to advances in additive manufacturing techniques. In the other hand, structural topology optimization is a powerful tool for the structure development with wide industrial application. Among the various optimization methods, evolutionary structural optimization stands out for its versatility and it can be used in many engineering problems. As an attempt to combine these fields, this work intends to study the Bi-directional evolutionary Structural Optimization method applied to two-dimensional multi-scale systems in order to design the optimal topologies of structures in both scales. The analysis of multi-scale model is made using the homogenization method, where the pattern of the micro-structural material is considered periodic. The implemented algorithm can use two different objective function: mean compliance minimization, which results in maximizing the global stiffness; or fundamental frequency maximization. Numerical results are presented for material design, where only the micro structure is optimized,…

Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS, Pavanello, Renato, 1959-, Serpa, Alberto Luiz, Lima, Cicero Ribeiro de.

Subjects/Keywords: Otimização estrutural; Multiescala; Homogeneização (Equações diferenciais); Método dos elementos finitos; Structural optimization; Multi-scale; Homogenization (Differential equations); Finite element methods

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

APA (6^th Edition):

Calixto, Tainan Khalil Leite, 1. (2015). Otimização topológica evolucionária multiescala aplicada a problemas de elasticidade linear. (Masters Thesis). Universidade Estadual de Campinas. Retrieved from CALIXTO, Tainan Khalil Leite. Otimização topológica evolucionária multiescala aplicada a problemas de elasticidade linear. 2015. 124 p. Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica, Campinas, SP. Disponível em: <http://www.repositorio.unicamp.br/handle/REPOSIP/265763>. Acesso em: 28 ago. 2018. ; http://repositorio.unicamp.br/jspui/handle/REPOSIP/265763

Chicago Manual of Style (16^th Edition):

Calixto, Tainan Khalil Leite, 1990-. “Otimização topológica evolucionária multiescala aplicada a problemas de elasticidade linear.” 2015. Masters Thesis, Universidade Estadual de Campinas. Accessed April 20, 2021. CALIXTO, Tainan Khalil Leite. Otimização topológica evolucionária multiescala aplicada a problemas de elasticidade linear. 2015. 124 p. Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica, Campinas, SP. Disponível em: <http://www.repositorio.unicamp.br/handle/REPOSIP/265763>. Acesso em: 28 ago. 2018. ; http://repositorio.unicamp.br/jspui/handle/REPOSIP/265763.

MLA Handbook (7^th Edition):

Calixto, Tainan Khalil Leite, 1990-. “Otimização topológica evolucionária multiescala aplicada a problemas de elasticidade linear.” 2015. Web. 20 Apr 2021.

Vancouver:

Calixto, Tainan Khalil Leite 1. Otimização topológica evolucionária multiescala aplicada a problemas de elasticidade linear. [Internet] [Masters thesis]. Universidade Estadual de Campinas; 2015. [cited 2021 Apr 20]. Available from: CALIXTO, Tainan Khalil Leite. Otimização topológica evolucionária multiescala aplicada a problemas de elasticidade linear. 2015. 124 p. Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica, Campinas, SP. Disponível em: <http://www.repositorio.unicamp.br/handle/REPOSIP/265763>. Acesso em: 28 ago. 2018. ; http://repositorio.unicamp.br/jspui/handle/REPOSIP/265763.

Council of Science Editors:

Calixto, Tainan Khalil Leite 1. Otimização topológica evolucionária multiescala aplicada a problemas de elasticidade linear. [Masters Thesis]. Universidade Estadual de Campinas; 2015. Available from: CALIXTO, Tainan Khalil Leite. Otimização topológica evolucionária multiescala aplicada a problemas de elasticidade linear. 2015. 124 p. Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica, Campinas, SP. Disponível em: <http://www.repositorio.unicamp.br/handle/REPOSIP/265763>. Acesso em: 28 ago. 2018. ; http://repositorio.unicamp.br/jspui/handle/REPOSIP/265763

Universidade Estadual de Campinas

25. Anaya Jaimes, Lidy Marcela, 1993-. Thermo-elastic topology optimization using a multi-scale approach = Otimização topológica termoelástica usando uma abordagem multiescala.

Degree: Faculdade de Engenharia Mecânica; Programa de Pós-Graduação em Engenharia Mecânica, 2018, Universidade Estadual de Campinas

URL: ANAYA JAIMES, Lidy Marcela. Thermo-elastic topology optimization using a multi-scale approach = Otimização topológica termoelástica usando uma abordagem multiescala. 2018. 1 recurso online ( 94 p.). Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica, Campinas, SP. Disponível em: <http://www.repositorio.unicamp.br/handle/REPOSIP/331694>. Acesso em: 3 set. 2018. ; http://repositorio.unicamp.br/jspui/handle/REPOSIP/331694

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Orientador: Renato Pavanello

Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica

Made available in DSpace on 2018-09-03T17:56:03Z (GMT). No. of bitstreams: 1… (more)

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Orientador: Renato Pavanello

Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica

Made available in DSpace on 2018-09-03T17:56:03Z (GMT). No. of bitstreams: 1 Jaimes_LidyMarcelaAnaya_M.pdf: 3779369 bytes, checksum: 3423bf738561bdc8f388243bf0e03d63 (MD5) Previous issue date: 2018

Resumo: A otimização topológica evolucionária é uma ferramenta versatil para o projeto de estruturas, sendo amplamente usada na solução de muitos problemas de engenharia. Quando uma estrutura está sujeita à carregamentos térmicos e mecânicos simultâneos, o procedimento de projeto topológico torna-se complexo e às vezes não intuitivo. Este trabalho apresenta o estudo do método BESO (Bidirectional Evolutionary Structural Optimization) aplicado à sistemas multiescala bidimensionais, com o intuito de desenvolver uma metodologia para projetar estruturas termomecânicas. O algoritmo implementado pode ser usado para projetar uma estrutura na macroescala, na microescala ou em ambas escalas simultaneamente. São apresentados dois problemas, o primeiro para estudar a influência da mudança de temperatura e dos carregamentos mecânicos na estrutura projetada e o segundo para minimizar o coeficiente de expansão térmica. Com o intuito de resolver os dois problemas apresentados é feita a otimização topológica de uma estrutura termoelástica usando multiplos materiais considerando apenas a macroescala e a microescala, respectivamente. O método de homogeneização é usado para obter as propriedades equivalentes do material projetado na macroescala em função da sua topologia na microescala

The evolutionary topology optimization is a versatile tool for the design, that is widely used in the solution of many engineering problems. When thermal and mechanical loads occur simultaneously in a structure, its shape and topological design become complex and sometimes non-intuitive. This work presents the study of the Bi-directional Evolutionary Structural Optimization method (BESO) applied to multi-scale systems, in order to develop a methodology to design thermo-mechanical structures. The implemented algorithm can be used to design two dimensional structures in the macro-scale or in the micro-scale separately or to do a concurrent design. Two problems are presented, the first one to study the influence of the temperature change and the mechanical loads on the designed structure and the second one to minimize the thermal expansion coefficient, in order to do that, it is made a topology optimization of a thermoelastic structure using multiple materials considering only the macro-scale and using a multi-scale approach, respectively. The homogenization method is used to obtain the equivalents properties of the designed material

Mestrado

Mecanica dos Sólidos e Projeto Mecanico

Mestra em Engenharia Mecânica

33003017

CAPES

Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS, Pavanello, Renato, 1959-, Sollero, Paulo, Cardoso, Eduardo Lenz.

Subjects/Keywords: Otimização topológica; Multiescala; Homogeneização (Equações diferenciais); Método dos elementos finitos; Topological optimization; Multiescala; Homogenization (Differential equations); Finite element methods

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

APA (6^th Edition):

Anaya Jaimes, Lidy Marcela, 1. (2018). Thermo-elastic topology optimization using a multi-scale approach = Otimização topológica termoelástica usando uma abordagem multiescala. (Doctoral Dissertation). Universidade Estadual de Campinas. Retrieved from ANAYA JAIMES, Lidy Marcela. Thermo-elastic topology optimization using a multi-scale approach = Otimização topológica termoelástica usando uma abordagem multiescala. 2018. 1 recurso online ( 94 p.). Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica, Campinas, SP. Disponível em: <http://www.repositorio.unicamp.br/handle/REPOSIP/331694>. Acesso em: 3 set. 2018. ; http://repositorio.unicamp.br/jspui/handle/REPOSIP/331694

Chicago Manual of Style (16^th Edition):

Anaya Jaimes, Lidy Marcela, 1993-. “Thermo-elastic topology optimization using a multi-scale approach = Otimização topológica termoelástica usando uma abordagem multiescala.” 2018. Doctoral Dissertation, Universidade Estadual de Campinas. Accessed April 20, 2021. ANAYA JAIMES, Lidy Marcela. Thermo-elastic topology optimization using a multi-scale approach = Otimização topológica termoelástica usando uma abordagem multiescala. 2018. 1 recurso online ( 94 p.). Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica, Campinas, SP. Disponível em: <http://www.repositorio.unicamp.br/handle/REPOSIP/331694>. Acesso em: 3 set. 2018. ; http://repositorio.unicamp.br/jspui/handle/REPOSIP/331694.

MLA Handbook (7^th Edition):

Anaya Jaimes, Lidy Marcela, 1993-. “Thermo-elastic topology optimization using a multi-scale approach = Otimização topológica termoelástica usando uma abordagem multiescala.” 2018. Web. 20 Apr 2021.

Vancouver:

Anaya Jaimes, Lidy Marcela 1. Thermo-elastic topology optimization using a multi-scale approach = Otimização topológica termoelástica usando uma abordagem multiescala. [Internet] [Doctoral dissertation]. Universidade Estadual de Campinas; 2018. [cited 2021 Apr 20]. Available from: ANAYA JAIMES, Lidy Marcela. Thermo-elastic topology optimization using a multi-scale approach = Otimização topológica termoelástica usando uma abordagem multiescala. 2018. 1 recurso online ( 94 p.). Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica, Campinas, SP. Disponível em: <http://www.repositorio.unicamp.br/handle/REPOSIP/331694>. Acesso em: 3 set. 2018. ; http://repositorio.unicamp.br/jspui/handle/REPOSIP/331694.

Council of Science Editors:

Anaya Jaimes, Lidy Marcela 1. Thermo-elastic topology optimization using a multi-scale approach = Otimização topológica termoelástica usando uma abordagem multiescala. [Doctoral Dissertation]. Universidade Estadual de Campinas; 2018. Available from: ANAYA JAIMES, Lidy Marcela. Thermo-elastic topology optimization using a multi-scale approach = Otimização topológica termoelástica usando uma abordagem multiescala. 2018. 1 recurso online ( 94 p.). Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica, Campinas, SP. Disponível em: <http://www.repositorio.unicamp.br/handle/REPOSIP/331694>. Acesso em: 3 set. 2018. ; http://repositorio.unicamp.br/jspui/handle/REPOSIP/331694

26. Argyropoulou, Eftychia. Μερικές διαφορικές εξισώσεις και προβλήματα της επιστήμης των υλικών.

Degree: 2014, National and Kapodistrian University of Athens; Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών (ΕΚΠΑ)

URL: http://hdl.handle.net/10442/hedi/34797

► The main objective of this thesis is the homogenization of partial dierentialequations (mainly Maxwell'As equations) describing electromagneticphenomena in complex media. In particular, we study the… (more)

Subjects/Keywords: Ηλεκτρομαγνητισμός; Ομοιογενοποίηση; Maxwell's equations; Homogenization

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

APA (6^th Edition):

Argyropoulou, E. (2014). Μερικές διαφορικές εξισώσεις και προβλήματα της επιστήμης των υλικών. (Thesis). National and Kapodistrian University of Athens; Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών (ΕΚΠΑ). Retrieved from http://hdl.handle.net/10442/hedi/34797

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):

Argyropoulou, Eftychia. “Μερικές διαφορικές εξισώσεις και προβλήματα της επιστήμης των υλικών.” 2014. Thesis, National and Kapodistrian University of Athens; Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών (ΕΚΠΑ). Accessed April 20, 2021. http://hdl.handle.net/10442/hedi/34797.

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

MLA Handbook (7^th Edition):

Argyropoulou, Eftychia. “Μερικές διαφορικές εξισώσεις και προβλήματα της επιστήμης των υλικών.” 2014. Web. 20 Apr 2021.

Vancouver:

Argyropoulou E. Μερικές διαφορικές εξισώσεις και προβλήματα της επιστήμης των υλικών. [Internet] [Thesis]. National and Kapodistrian University of Athens; Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών (ΕΚΠΑ); 2014. [cited 2021 Apr 20]. Available from: http://hdl.handle.net/10442/hedi/34797.

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

Council of Science Editors:

Argyropoulou E. Μερικές διαφορικές εξισώσεις και προβλήματα της επιστήμης των υλικών. [Thesis]. National and Kapodistrian University of Athens; Εθνικό και Καποδιστριακό Πανεπιστήμιο Αθηνών (ΕΚΠΑ); 2014. Available from: http://hdl.handle.net/10442/hedi/34797

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

Wake Forest University

27. Newman, Maisie Jann. Using Mathematical Biology to Model a Revolution.

Degree: 2018, Wake Forest University

URL: http://hdl.handle.net/10339/90705

► In this thesis, we seek to model the dynamics of violent political revolutions using adaptations of mathematical biology models. Existing models of similar social phe-… (more)

Subjects/Keywords: Differential Equations

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

APA (6^th Edition):

Newman, M. J. (2018). Using Mathematical Biology to Model a Revolution. (Thesis). Wake Forest University. Retrieved from http://hdl.handle.net/10339/90705

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):

Newman, Maisie Jann. “Using Mathematical Biology to Model a Revolution.” 2018. Thesis, Wake Forest University. Accessed April 20, 2021. http://hdl.handle.net/10339/90705.

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

MLA Handbook (7^th Edition):

Newman, Maisie Jann. “Using Mathematical Biology to Model a Revolution.” 2018. Web. 20 Apr 2021.

Vancouver:

Newman MJ. Using Mathematical Biology to Model a Revolution. [Internet] [Thesis]. Wake Forest University; 2018. [cited 2021 Apr 20]. Available from: http://hdl.handle.net/10339/90705.

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

Council of Science Editors:

Newman MJ. Using Mathematical Biology to Model a Revolution. [Thesis]. Wake Forest University; 2018. Available from: http://hdl.handle.net/10339/90705

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

California State Polytechnic University – Pomona

28. Diaz Gonzalez, Maria. Speaking Out: Mathematical Models of Language Preservation.

Degree: MS, Department of Mathematics and Statistics, 2020, California State Polytechnic University – Pomona

URL: http://hdl.handle.net/10211.3/216704

► We present a study of language competition between bilinguals and unilinguals using a mathematical model, involving systems of di???erential equations. The ???rst model that we… (more)

Subjects/Keywords: differential equations

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

APA (6^th Edition):

Diaz Gonzalez, M. (2020). Speaking Out: Mathematical Models of Language Preservation. (Masters Thesis). California State Polytechnic University – Pomona. Retrieved from http://hdl.handle.net/10211.3/216704

Chicago Manual of Style (16^th Edition):

Diaz Gonzalez, Maria. “Speaking Out: Mathematical Models of Language Preservation.” 2020. Masters Thesis, California State Polytechnic University – Pomona. Accessed April 20, 2021. http://hdl.handle.net/10211.3/216704.

MLA Handbook (7^th Edition):

Diaz Gonzalez, Maria. “Speaking Out: Mathematical Models of Language Preservation.” 2020. Web. 20 Apr 2021.

Vancouver:

Diaz Gonzalez M. Speaking Out: Mathematical Models of Language Preservation. [Internet] [Masters thesis]. California State Polytechnic University – Pomona; 2020. [cited 2021 Apr 20]. Available from: http://hdl.handle.net/10211.3/216704.

Council of Science Editors:

Diaz Gonzalez M. Speaking Out: Mathematical Models of Language Preservation. [Masters Thesis]. California State Polytechnic University – Pomona; 2020. Available from: http://hdl.handle.net/10211.3/216704

North-West University

29. Mhlanga, Isaiah Elvis. Application of lie group methods to certain partial differential equations / Isaiah Elvis Mhlanga .

Degree: 2012, North-West University

URL: http://hdl.handle.net/10394/14414

► In the first part of this work, two nonlinear partial differential equations, namely, a modified Camassa-Holm-Degasperis-Procesi equation and the generalized Kortewegde Vries equation with two… (more)

Subjects/Keywords: Differential equations

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

APA (6^th Edition):

Mhlanga, I. E. (2012). Application of lie group methods to certain partial differential equations / Isaiah Elvis Mhlanga . (Thesis). North-West University. Retrieved from http://hdl.handle.net/10394/14414

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):

Mhlanga, Isaiah Elvis. “Application of lie group methods to certain partial differential equations / Isaiah Elvis Mhlanga .” 2012. Thesis, North-West University. Accessed April 20, 2021. http://hdl.handle.net/10394/14414.

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

MLA Handbook (7^th Edition):

Mhlanga, Isaiah Elvis. “Application of lie group methods to certain partial differential equations / Isaiah Elvis Mhlanga .” 2012. Web. 20 Apr 2021.

Vancouver:

Mhlanga IE. Application of lie group methods to certain partial differential equations / Isaiah Elvis Mhlanga . [Internet] [Thesis]. North-West University; 2012. [cited 2021 Apr 20]. Available from: http://hdl.handle.net/10394/14414.

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

Council of Science Editors:

Mhlanga IE. Application of lie group methods to certain partial differential equations / Isaiah Elvis Mhlanga . [Thesis]. North-West University; 2012. Available from: http://hdl.handle.net/10394/14414

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

California State Polytechnic University – Pomona

30. Ayala, Alexis. Control of Satellite Angles When Orbiting Asteroids.

Degree: MS, Department of Mathematics and Statistics, 2020, California State Polytechnic University – Pomona

URL: http://hdl.handle.net/10211.3/214768

► In the article "Attitude Dynamics and Control of Satellites Orbiting Rotating Asteroids", by K.D. Kumar, systems of ordinary differential equations were derived to describe the… (more)

▼ In the article "Attitude Dynamics and Control of Satellites Orbiting Rotating Asteroids", by K.D. Kumar, systems of ordinary differential equations were derived to describe the attitude angles of a satellite, and control inputs were formulated from the linearized system [1]. The control was applied to the nonlinear equations and the solutions were found numerically by implementing the Petzold-Gear BDF method. In this paper we present the following work based on Kumar [1]: (1) The equations of motion for a satellite orbiting a non-symmetric mass are derived. (2) Nonlinear, ordinary differential equations that represent the torques of the three attitude angles pitch, roll, and yaw are found. (3) These equations are linearized about the zero-state of the three angles, from which two different systems are derived. One system assumes that the orbit of the satellite is non-circular, while the other assumes that it is. (4) Stability analysis is performed and two control equations are established. One assumes that the mass of the asteroid is non-symmetrical, while the other assumes the opposite. In this paper we present the following contributions: (1) Two control schemes applied through pole placement and quadratic optimal control were found. (2) The alternate control schemes were implemented on the linearized system and solved using MATLAB. (3) The solutions were found by using MATLAB's function ode45, which implements the Dormand-Prince method (an explicit Runge-Kutta formula). (4) These models were compared with three different performance tests, two of which determined the error of the controls while the other calculated how much control force effort is required to maintain the control. After running these performance tests, it was shown that Kumar's controls lead to small errors for relatively low control force effort. In addition, it was determined that Kumar's controls and quadratic optimal control with Q being the 6 by 6 identity matrix and R = 1 required the least amount of effort, the pole placement control with poles at -5 had the least amount of error but required the most force, and some optimal poles found through a minimization problem were the best compromise between the two. In addition, Kumar's control does not stabilize the pitch of the system with a circular orbit, while the other three do. Advisors/Committee Members: von Bremen, Hubertus (advisor), Swift, Randall (committee member).

Subjects/Keywords: differential equations

Record Details Similar Records Cite « Share

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

APA (6^th Edition):

Ayala, A. (2020). Control of Satellite Angles When Orbiting Asteroids. (Masters Thesis). California State Polytechnic University – Pomona. Retrieved from http://hdl.handle.net/10211.3/214768

Chicago Manual of Style (16^th Edition):

Ayala, Alexis. “Control of Satellite Angles When Orbiting Asteroids.” 2020. Masters Thesis, California State Polytechnic University – Pomona. Accessed April 20, 2021. http://hdl.handle.net/10211.3/214768.

MLA Handbook (7^th Edition):

Ayala, Alexis. “Control of Satellite Angles When Orbiting Asteroids.” 2020. Web. 20 Apr 2021.

Vancouver:

Ayala A. Control of Satellite Angles When Orbiting Asteroids. [Internet] [Masters thesis]. California State Polytechnic University – Pomona; 2020. [cited 2021 Apr 20]. Available from: http://hdl.handle.net/10211.3/214768.

Council of Science Editors:

Ayala A. Control of Satellite Angles When Orbiting Asteroids. [Masters Thesis]. California State Polytechnic University – Pomona; 2020. Available from: http://hdl.handle.net/10211.3/214768

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