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Dissertations / Theses on the topic 'Linear elasticty'

Author: Grafiati

Published: 20 April 2024

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1

Mou, Guangjin. "Design of exotic architectured materials in linear elasticity." Electronic Thesis or Diss., Sorbonne université, 2023. https://accesdistant.sorbonne-universite.fr/login?url=https://theses-intra.sorbonne-universite.fr/2023SORUS519.pdf.

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Les classes de symétrie d'un comportement linéaire définissent les différents types d'anisotropie qui peuvent être modélisés par les tenseurs constitutifs associés. Cependant, les espaces des matériaux linéaires sont très riches et toute une gamme de possibilités intermédiaires peut exister au-delà des classes de symétrie. Les matériaux présentant des propriétés anisotropes non-standard associées à ces possibilités intermédiaires sont appelés matériaux exotiques. Par exemple, le matériau 2D R0-orthotrope est un cas bien connu de matériau exotique.L'objectif principal de cette recherche est de

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2

Bosher, Simon Henry Bruce. "Non-linear elasticity theory." Thesis, Queen Mary, University of London, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.407883.

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3

Ang, W. T. "Some crack problems in linear elasticity /." Title page, table of contents and summary only, 1987. http://web4.library.adelaide.edu.au/theses/09PH/09pha581.pdf.

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4

Austin, D. M. "On two problems in linear elasticity." Thesis, University of Manchester, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.378026.

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5

Johnson, Fen Rui. "A study of finite and linear elasticity." CSUSB ScholarWorks, 1996. https://scholarworks.lib.csusb.edu/etd-project/1096.

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6

Domino, Lucie. "Contrôle et manipulation d'ondes hydroélastiques." Thesis, Paris Sciences et Lettres (ComUE), 2018. http://www.theses.fr/2018PSLET020.

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Cette thèse porte sur la physique des ondes, dans le but de contrôler leur propagation. Nous cherchons à mettre en évidence des phénomènes communs à toutes les ondes grâce à un système expérimental modèle utilisant les ondes à la surface d’un liquide. Plus précisément, nous choisissons de travailler avec des ondes hydroélastiques en couvrant la surface du liquide avec un film élastique. Les déformations élastiques de cette membrane sont couplées aux mouvements du fluide, de sorte qu’en modifiant les propriétés de la membrane nous pouvons agir sur la propagation des ondes. Ainsi, en changeant l

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7

Laing, Kara Louise. "Non-linear deformation of a helical spring." Thesis, University of East Anglia, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.323220.

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8

Chinviriyasit, Settapat. "Numerical methods for treating quasistatic linear viscoelastic problems." Thesis, Brunel University, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.367443.

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9

Harursampath, Dineshkumar. "Non-classical non-linear effects in thin-walled composite beams." Diss., Georgia Institute of Technology, 1998. http://hdl.handle.net/1853/12501.

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10

DeFigueiredo, Tania Glacy do Brasil. "A new boundary element formation and its application in engineering." Thesis, University of Southampton, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.278110.

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11

Browne, Philip. "Topology optimization of linear elastic structures." Thesis, University of Bath, 2013. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.577747.

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Topology optimization is a tool for finding a domain in which material is placed that optimizes a certain objective function subject to constraints. This thesis considers topology optimization for structural mechanics problems, where the underlying PDE is derived from linear elasticity. There are two main approaches for solving topology optimization: Solid Isotropic Material with Penalisation (SIMP) and Evolutionary Structural Optimization (ESO). SIMP is a continuous relaxation of the problem solved using a mathematical programming technique and so inherits the convergence properties of the op

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12

Wang, Yanqiu. "Preconditioning for the mixed formulation of linear plane elasticity." Diss., Texas A&M University, 2004. http://hdl.handle.net/1969.1/2781.

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In this dissertation, we study the mixed ﬁnite element method for the linear plane elasticity problem and iterative solvers for the resulting discrete system. We use the Arnold-Winther Element in the mixed ﬁnite element discretization. An overlapping Schwarz preconditioner and a multigrid preconditioner for the discrete system are developed and analyzed. We start by introducing the mixed formulation (stress-displacement formulation) for the linear plane elasticity problem and its discretization. A detailed analysis of the Arnold-Winther Element is given. The ﬁnite element discretization of the

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13

Bala, Chandran Ram. "Development of discontinuous Galerkin method for nonlocal linear elasticity." Thesis, Massachusetts Institute of Technology, 2007. http://hdl.handle.net/1721.1/41730.

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Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2007.<br>Includes bibliographical references (p. 75-81).<br>A number of constitutive theories have arisen describing materials which, by nature, exhibit a non-local response. The formulation of boundary value problems, in this case, leads to a system of equations involving higher-order derivatives which, in turn, results in requirements of continuity of the solution of higher order. Discontinuous Galerkin methods are particularly attractive toward this end, as they provide a means to naturall

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14

McKay, Barry. "Wrinkling problems for non-linear elastic membranes." Thesis, University of Glasgow, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.307187.

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15

Schenck, David Robert. "Some Formation Problems for Linear Elastic Materials." Diss., Virginia Tech, 1999. http://hdl.handle.net/10919/28608.

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Some equations of linear elasticity are developed, including those specific to certain actuator structures considered in formation theory. The invariance of the strain-energy under the transformation from rectangular to spherical coordinates is then established for use in two specific formation problems. The first problem, involving an elastic structure with a cylindrical equilibrium configuration, is formulated in two dimensions using polar coordinates. It is shown that $L^2$ controls suffice to obtain boundary displacements in $H^{1/2}$. The second problem has a spherical equilib

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16

Hein, Torsten, and Marcus Meyer. "Identification of material parameters in linear elasticity - some numerical results." Universitätsbibliothek Chemnitz, 2007. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200702040.

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In this paper we present some numerical results concerning the identification of material parameters in linear elasticity by dealing with small deformations. On the basis of a precise example different aspects of the parameter estimation problem are considered. We deal with practical questions such as the experimental design for obtaining sufficient data for recovering the unknown parameters as well as questions of treating the corresponding inverse problems numerically. Two algorithms for solving these problems can be introduced and extensive numerical case studies are presented and discu

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17

Ren, Xiaoan. "The method of arbitrary lines in non-linear visco-elasticity." Thesis, University of Westminster, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240413.

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18

Álvarez, Inostroza Catalina Paz. "Virtual element method for linear elasticity problems in modifiable meshes." Tesis, Universidad de Chile, 2017. http://repositorio.uchile.cl/handle/2250/149576.

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Magíster en Ciencias, Mención Computación. Ingeniera Civil en Computación. Ingeniera Civil Mecánica.<br>Los métodos numéricos son una valiosa herramienta en las ciencias y la ingeniería, ya que permiten obtener soluciones a muchos problemas difíciles. La elasticidad lineal, el estudio de como los objetos se deforman y cargan dado a cargas, es un problema en que los métodos numéricos tienden a usarse. El Método de Elemento Finito (FEM) es el método más usado para resolver problemas de elasticidad lineal; tiene muchas ventajas: es estable, es fácil aumentar el orden de los elementos para mejor

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19

Orekhov, Viktor Leonidovich. "Series Elasticity in Linearly Actuated Humanoids." Diss., Virginia Tech, 2015. http://hdl.handle.net/10919/71788.

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Recent advancements in actuator technologies, computation, and control have led to major leaps in capability and have brought humanoids ever closer to being feasible solutions for real-world applications. As the capabilities of humanoids increase, they will be called on to operate in unstructured real world environments. This realization has driven researchers to develop more dynamic, robust, and adaptable robots. Compared to state-of-the-art robots, biological systems demonstrate remarkably better efficiency, agility, adaptability, and robustness. Many recent studies suggest that a core princ

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20

Hall, R. W. "Two dimensional isoviscous EHL and associated contact problems in linear elasticity." Thesis, University of Leeds, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.374172.

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21

Blacker, David James. "Robust non-conforming finite element approximation in nearly incompressible linear elasticity." Thesis, University of Strathclyde, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.269972.

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22

Lejri, Mostfa. "Subsurface stress inversion modeling using linear elasticity : sensitivity analysis and applications." Thesis, Montpellier, 2015. http://www.theses.fr/2015MONTS212/document.

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Aujourd’hui, l’un des principaux défis dans l’industrie pétrolière, et particulièrement dans le domaine de l’exploration, est l’exploitation des nouvelles ressources dans des zones structuralement complexes.Nous savons que la géométrie et le glissement le long des failles actives modifie la distribution locale des contraintes. La connaissance du champ de contrainte perturbé actuel est importante pour l’étude des tremblements de Terre, pour la planification de forages ainsi que pour la prédiction de la fracturation induite par l’hydro-fracturation et la prédiction de la réactivation des fractur

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23

Leurent, Thomas B. (Thomas Bruno) 1975. "Reduced basis output bounds for linear elasticity : application to microtruss structures." Thesis, Massachusetts Institute of Technology, 2001. http://hdl.handle.net/1721.1/89325.

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24

Mukhopadhyay, S., R. Picard, S. Trostorff, and M. Waurick. "On some models in linear thermo-elasticity with rational material laws." Sage, 2016. https://tud.qucosa.de/id/qucosa%3A35516.

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In the present work, we shall consider some common models in linear thermo-elasticity within a common structural framework. Due to the flexibility of the structural perspective we will obtain well-posedness results for a large class of generalized models allowing for more general material properties such as anisotropies, inhomogeneities, etc.

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25

Hall, Anthony R. "The Pseudo-Rigid-Body Model for Fast, Accurate, Non-Linear Elasticity." BYU ScholarsArchive, 2013. https://scholarsarchive.byu.edu/etd/3869.

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We introduce to computer graphics the Pseudo-Rigid-Body Mechanism (PRBM) and the chain algorithm from mechanical engineering, with a unified tutorial from disparate source materials. The PRBM has been used successfully to simplify the simulation of non-linearly elastic beams, using deflections of an analogous spring and rigid-body linkage. It offers computational efficiency as well as an automatic parameterization in terms of physically measurable, intuitive inputs which fit naturally into existing animation work flows for character articulation. The chain algorithm is a technique for simulati

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26

Cáncer, Castillo Víctor. "Non-linear elastic response of scale invariant solids." Doctoral thesis, Universitat Autònoma de Barcelona, 2020. http://hdl.handle.net/10803/671059.

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L’objectiu d’aquesta tesis és aplicar mètodes de teoria de camps per entendre la resposta elàstica no-lineal (ENL) dels sòlids. La resposta ENL conté un gran número de quantitats observables, que no sempre són fàcils de derivar de la composició microscòpica del material. Un actor esencial en la resposta elàstica dels sòlids són els fonons, que poden ser descrits com els bosons de Goldstone d’una ruptura espontània de les simetries de l’espai-temps. Com a tals, la seva dinàmica a baixes energies (incloent no-linealitats) pot ser capturada sistemàticament per mètodes estàndard de Teoria de Camp

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27

Wood, Joseph D. "Brittle mixed-mode cracks between linear elastic layers." Thesis, Loughborough University, 2017. https://dspace.lboro.ac.uk/2134/24177.

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Original analytical theories are developed for partitioning mixed-mode fractures on rigid interfaces in laminated orthotropic double cantilever beams (DCBs) based on 2D elasticity by using some novel methods. Note that although the DCB represents a simplified case, it provides a deep understanding and predictive capability for real applications and does not restrict the analysis to a simple class of fracture problems. The developed theories are generally applicable to so-called 1D fracture consisting of opening (mode I) and shearing (mode II) action only with no tearing (mode III) action, for

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28

Placidi, Luca. "Solution of St.-Venant's and Almansi-Michell's Problems." Thesis, Virginia Tech, 2002. http://hdl.handle.net/10919/35451.

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We use the semi-inverse method to solve a St. Venant and an Almansi-Michell problem for a prismatic body made of a homogeneous and isotropic elastic material that is stress free in the reference configuration. In the St. Venant problem, only the end faces of the prismatic body are loaded by a set of self-equilibrated forces. In the Almansi-Michell problem self equilibrated surface tractions are also applied on the mantle of the body. The St. Venant problem is also analyzed for the following two cases: (i) the reference configuration is subjected to a hydrostatic pressure, and (ii) stress-strai

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29

Maerten, Frantz. "Geomechanics to solve geological structure issues : forward, inverse and restoration modeling." Thesis, Montpellier 2, 2010. http://www.theses.fr/2010MON20031.

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Différentes applications de l'élasticité linéaire en géologie structurale sont présentées dans cette thèse à travers le développement de trois types de codes numériques. Le premier utilise la modélisation directe pour étudier les déplacements et champs de contraintes autour de zones faillées complexes. On montre que l'ajout de contraintes inégalitaires, telles que la friction de Coulomb, permet d'expliquer l'angle d'initiation des dominos dans les relais extensifs. L'ajout de matériaux hétérogènes et d'optimisations, telles la parallélisation sur processeurs multi-coeurs ainsi que la réduction

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30

Shahzad, Summer. "Stress singularities, annihilations and invisibilities induced by polygonal inclusions in linear elasticity." Doctoral thesis, Università degli studi di Trento, 2016. https://hdl.handle.net/11572/368863.

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Notches, wedges, cracks, sti?eners, inclusions and defects in plane elastostatics are known to generate singular stresses and limit the overall strength of a composite material. In the present thesis, after showing experimentally that the singular stress ?eld predicted by the linear elastic solution for the rigid inclusion model can be generated in reality and with great accuracy within a material, attention is devoted then in achieving the out-of-plane response of an in?nite plane containing polygonal and hypocycloidal-shaped voids and rigid inclusions subject to generalized remote loading co

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31

Shahzad, Summer. "Stress singularities, annihilations and invisibilities induced by polygonal inclusions in linear elasticity." Doctoral thesis, University of Trento, 2016. http://eprints-phd.biblio.unitn.it/1769/1/Shahzad_Summer_Phd_thesis.pdf.

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Notches, wedges, cracks, stiﬀeners, inclusions and defects in plane elastostatics are known to generate singular stresses and limit the overall strength of a composite material. In the present thesis, after showing experimentally that the singular stress ﬁeld predicted by the linear elastic solution for the rigid inclusion model can be generated in reality and with great accuracy within a material, attention is devoted then in achieving the out-of-plane response of an inﬁnite plane containing polygonal and hypocycloidal-shaped voids and rigid inclusions subject to generalized remote loading c

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32

Topol, Heiko [Verfasser]. "Acoustic and mechanical properties of viscoelastic, linear elastic, and nonlinear elastic composites / Heiko Topol." Aachen : Hochschulbibliothek der Rheinisch-Westfälischen Technischen Hochschule Aachen, 2012. http://d-nb.info/1028213352/34.

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33

De, Villiers Magdaline. "Existence theory for linear vibration models of elastic bodies." Pretoria : [s.n.], 2009. http://upetd.up.ac.za/thesis/available/etd-10072009-201522.

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34

Peng, Xuan. "Isogeometric boundary element methods for linear elastic fracture mechanics." Thesis, Cardiff University, 2016. http://orca.cf.ac.uk/92543/.

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We develop in this work a procedure for obtaining the fatigue life of complex structures directly from Computer-Aided Design (CAD) data, without any mesh generation or regeneration as the cracks evolve. The method relies on a standard isogeometric boundary element method (IGABEM) where the same basis functions are used to both describe the geometry of the component and approximate the displacement and traction fields. The contributions of this work include: (1) Dual boundary integral equations have been applied to model 2D/3D fracture problems in the framework of IGA and that such simulations

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35

Tsarouchas, Dimitris. "Fibre network materials : architecture and effective linear elastic properties." Thesis, University of Cambridge, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.610878.

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36

Seitenfuss, Alan Bourscheidt. "On the behavior of a linear elastic peridynamic material." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-22062017-100938/.

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The peridynamic theory is a generalization of classical continuum mechanics and takes into account the interaction between material points separated by a finite distance within a peridynamic horizon δ. The parameter δ corresponds to a length scale and is treated as a material property related to the microstructure of the body. Since the balance of linear momentum is written in terms of an integral equation that remains valid in the presence of discontinuities, the peridynamic theory is suitable for studying the material behavior in regions with singularities. The first part of this

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37

Quinelato, Thiago de Oliveira. "Mixed hybrid finite element method in elasticity and poroelasticity." Laboratório Nacional de Computação Científica, 2017. https://tede.lncc.br/handle/tede/273.

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Submitted by Maria Cristina (library@lncc.br) on 2017-12-12T10:49:35Z No. of bitstreams: 1 Thesis - Thiago Quinelato.pdf: 2369263 bytes, checksum: 6a1ac9e2d37bb0377981785cfa50683c (MD5)<br>Approved for entry into archive by Maria Cristina (library@lncc.br) on 2017-12-12T10:50:02Z (GMT) No. of bitstreams: 1 Thesis - Thiago Quinelato.pdf: 2369263 bytes, checksum: 6a1ac9e2d37bb0377981785cfa50683c (MD5)<br>Made available in DSpace on 2017-12-12T10:50:14Z (GMT). No. of bitstreams: 1 Thesis - Thiago Quinelato.pdf: 2369263 bytes, checksum: 6a1ac9e2d37bb0377981785cfa50683c (MD5) Previous issue date:

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38

Chung, Wai-Nang. "Fracture toughness and creep fracture studies of polyethylenes." Thesis, Imperial College London, 1991. http://hdl.handle.net/10044/1/46720.

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39

Goodsell, G. "Gradient superconvergance in the finite element method with applications to planar linear elasticity." Thesis, Brunel University, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.383122.

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40

Abbate, Emanuela. "Numerical methods for all-speed flows in fluid-dynamics and non-linear elasticity." Thesis, Bordeaux, 2018. http://www.theses.fr/2018BORD0409/document.

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Dans cette thèse on s’intéresse à la simulation numérique d’écoulements des matériaux compressibles, voir fluides et solides élastiques. Les matériaux considérés sont décrits avec un modèle monolithique eulérian, fermé avec une loi d’état hyperélastique qui considère les différents comportements des matériaux. On propose un nouveau schéma de relaxation qui résout les écoulements compressibles dans des différents régimes, avec des nombres de Mach très petits jusqu’à l’ordre 1. Le schéma a une formulation générale qui est la même pour tous le matériaux considérés, parce que il ne dépend pas dire

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41

Liang, Xiaoqing. "Dynamic Response of Linear/Nonlinear Laminated Structures Containing Piezoelectric Laminas." Diss., Virginia Tech, 1997. http://hdl.handle.net/10919/30348.

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The three-dimensional linear theory of piezo-elasticity is used to analyse steady state vibrations of a simply supported rectangular laminated composite plate with piezoelectric (PZT) actuator and sensor patches either embedded in it or bonded to the its surfaces. It is assumed that different layers are perfectly bonded to each other. The method of Fourier series is used to find an analytical solution of the problem. The analytical solution is then applied to study the shape control of a steadily vibrating composite plate by exciting different regions of a PZT actuator. Numerical results for a

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42

Knabe, Coleman Scott. "Design of Linear Series Elastic Actuators for a Humanoid Robot." Thesis, Virginia Tech, 2015. http://hdl.handle.net/10919/53511.

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Series elastic actuators (SEAs) have numerous benefits for force controlled robotic applications. This thesis presents the design and assembly of a set of compact, lightweight, low-friction linear SEAs for the legs of the Tactical Hazardous Operations Robot (THOR). The THOR SEA pairs a ball screw driven linear actuator with a configurable titanium leaf spring. A removable pivot changes the effective cantilever length, setting the compliance to either 372 or 655 kN/m. Unlike typical SEAs which measure actuator load through spring deflection, an in-line axial load cell directly measures actuator

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43

Bordignon, Nicola. "Bifurcations and instability in non-linear elastic solids with interfaces." Doctoral thesis, Università degli studi di Trento, 2018. https://hdl.handle.net/11572/368975.

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The study of local and global instability and bifurcation phenomena is crucial for many engineering applications in the field of solid mechanics. In particular, interfaces within solid bodies are of great importance in the bifurcation analysis, as they constitute localized zones in which discontinuities or jumps in displacement, strain or stress may occur. Different instability phenomena, heavily conditioned by the presence of interfaces, were analyzed in the present thesis. The first phenomenon that has been considered is the propagation of a shear band, which is a localized shear deformation

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44

Bordignon, Nicola. "Bifurcations and instability in non-linear elastic solids with interfaces." Doctoral thesis, University of Trento, 2018. http://eprints-phd.biblio.unitn.it/2863/1/PhD_thesis_Nicola_Bordignon.pdf.

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The study of local and global instability and bifurcation phenomena is crucial for many engineering applications in the field of solid mechanics. In particular, interfaces within solid bodies are of great importance in the bifurcation analysis, as they constitute localized zones in which discontinuities or jumps in displacement, strain or stress may occur. Different instability phenomena, heavily conditioned by the presence of interfaces, were analyzed in the present thesis. The first phenomenon that has been considered is the propagation of a shear band, which is a localized shear deformati

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45

ANGELICI, Marco. "Vibrazioni non lineari in mezzi piezoelettrici finiti." Doctoral thesis, La Sapienza, 2004. http://hdl.handle.net/11573/916891.

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46

Issaoui, Abderrahman [Verfasser]. "hp-BEM for contact problems and extended Ms-FEM in linear elasticity / Abderrahman Issaoui." Hannover : Technische Informationsbibliothek und Universitätsbibliothek Hannover (TIB), 2014. http://d-nb.info/1058241516/34.

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47

Meyer, Arnd, and Cornelia Pester. "The Laplace and the linear elasticity problems near polyhedral corners and associated eigenvalue problems." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601506.

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The solutions to certain elliptic boundary value problems have singularities with a typical structure near polyhedral corners. This structure can be exploited to devise an eigenvalue problem whose solution can be used to quantify the singularities of the given boundary value problem. It is necessary to parametrize a ball centered at the corner. There are different possibilities for a suitable parametrization; from the numerical point of view, spherical coordinates are not necessarily the best choice. This is why we do not specify a parametrization in this paper but present all results in a rat

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48

Merkert, Dennis [Verfasser], and Bernd [Akademischer Betreuer] Simeon. "Numerical Homogenization for Linear Elasticity in Translation Invariant Spaces / Dennis Merkert ; Betreuer: Bernd Simeon." Kaiserslautern : Technische Universität Kaiserslautern, 2018. http://d-nb.info/1163274607/34.

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49

Suliman, Ridhwaan. "A quadratic non-linear elasticity formulation for the dynamic behaviour of fluid-loaded structures." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/277824.

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This work details the development and implementation of a numerical model capable of solving strongly-coupled fluid-structure interaction problems involving long thin structures, which are common multi-physics problems encountered in many applications. In most fluid-structure interaction problems the deformation of the slender elastic bodies is significant and cannot be described by a purely linear analysis. We present a new formulation to model these larger displacements. By extending the standard modal decomposition technique for linear structural analysis, the governing equations and bounda

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50

Leckar, Hamilton F., and Rubens Sampaio. "Problems in incompressible linear elasticity involving tangential and normal components of the displacement field." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/96316.

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We consider the linear system -∆ u + grad p = f plus the divergence-free condition div u = O, in a bounded and conected but non simply connected open set Ω of R³, with a boundary ᴦ of C∞ class. Using orthogonal decompositions of the Hilbert space of square integrable vector fields on Ω, we show well posedness for two boundary value problems involving normal or tangential components of the displacement field on ᴦ.

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