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Relevant bibliographies by topics / Non-linear elasticity

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Academic literature on the topic 'Non-linear elasticity'

Author: Grafiati

Published: 4 June 2021

Last updated: 19 April 2025

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Journal articles on the topic "Non-linear elasticity"

1

Haughton, D. M. "On non-linear stability in unconstrained non-linear elasticity." International Journal of Non-Linear Mechanics 39, no. 7 (2004): 1181–92. http://dx.doi.org/10.1016/j.ijnonlinmec.2003.07.002.

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Mascolo, E., and L. Migliaccio. "Necking deformation in non-linear elasticity." Asymptotic Analysis 9, no. 2 (1994): 149–61. http://dx.doi.org/10.3233/asy-1994-9204.

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Guidorzi, M. "Partial regularity in non-linear elasticity." manuscripta mathematica 107, no. 1 (2002): 25–41. http://dx.doi.org/10.1007/s002290100221.

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Paroni, Roberto, та Giuseppe Tomassetti. "From non-linear elasticity to linear elasticity with initial stress via Γ-convergence". Continuum Mechanics and Thermodynamics 23, № 4 (2011): 347–61. http://dx.doi.org/10.1007/s00161-011-0184-y.

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Droniou, Jérôme, and Bishnu P. Lamichhane. "Gradient schemes for linear and non-linear elasticity equations." Numerische Mathematik 129, no. 2 (2014): 251–77. http://dx.doi.org/10.1007/s00211-014-0636-y.

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Jelenić, Gordan. "Pure bending in non-linear micropolar elasticity." International Journal of Mechanics and Materials in Design 18, no. 1 (2021): 243–65. http://dx.doi.org/10.1007/s10999-021-09577-3.

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Mazilu, P. "Variational Principles in Heterogeneous Non-Linear Elasticity." Materials Science Forum 123-125 (January 1993): 185–94. http://dx.doi.org/10.4028/www.scientific.net/msf.123-125.185.

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Ricker, M., and H.-R. Trebin. "Non-linear generalized elasticity of icosahedral quasicrystals." Journal of Physics A: Mathematical and General 35, no. 32 (2002): 6953–62. http://dx.doi.org/10.1088/0305-4470/35/32/314.

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Bataille, Klaus, and Ignacia Calisto. "Seismic coda due to non-linear elasticity." Geophysical Journal International 172, no. 2 (2008): 572–80. http://dx.doi.org/10.1111/j.1365-246x.2007.03639.x.

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Gersborg, Allan R., and Ole Sigmund. "Extreme non-linear elasticity and transformation optics." Optics Express 18, no. 18 (2010): 19020. http://dx.doi.org/10.1364/oe.18.019020.

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Dissertations / Theses on the topic "Non-linear elasticity"

1

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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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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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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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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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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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 simulating the deflection of complicated elastic bodies in terms of straight elastic elements, which has recently been extended to incorporate PRBM beam-elements in three dimensions. We present a new, mathematically equivalent optimization of the 3D PRBM chain algorithm, from its former asymptotic complexity of O(n^2) in the number of elements n, to O(n). We also extend an existing PRBM for combined moment-force loads to 3D, where the existing 3D PRBM chain algorithm was limited to 3D PRBM elements for a moment-only load. This optimization and extension are validated by duplicating prior experimental results, but substituting the new optimization and combined-load elements. Finally, a loose road-map is provided with several key considerations for future extension of the techniques to dynamic simulations.

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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 directement de la loi d’état. Il se base sur une discrétisation complétement implicite, facile à implémenter grâce à la linéarité de l’opérateur de transport du système de relaxation. La discrétisation en espace est donnée par la combinaison de flux upwind et centrés, pour retrouver la correcte viscosité numérique dans les différents régimes. L’utilisation de mailles cartésiennes pour les cas 2D s’adapte bien à une parallélisation massive, qui permet de réduire drastiquement le temps de calcul. De plus, le schéma a été adapté pour la résolution sur des mailles quadtree, pour implémenter l’adaptativité de la maille avec des critères entropiques. La dernière partie de la thèse concerne la simulation numérique d’écoulements multi-matériaux. On a proposé une nouvelle méthode d’interface “sharp”, en dérivant les conditions d’équilibre en implicite. L’objectif est la résolution d’interfaces physiques dans des régimes faiblement compressibles et avec un nombre de Mach faible, donc les conditions multi-matériaux sont couplées au schéma implicite de relaxation<br>In this thesis we are concerned with the numerical simulation of compressible materials flows, including gases, liquids and elastic solids. These materials are described by a monolithic Eulerian model of conservation laws, closed by an hyperelastic state law that includes the different behaviours of the considered materials. A novel implicit relaxation scheme to solve compressible flows at all speeds is proposed, with Mach numbers ranging from very small to the order of unity. The scheme is general and has the same formulation for all the considered materials, since a direct dependence on the state law is avoided via the relaxation. It is based on a fully implicit time discretization, easily implemented thanks to the linearity of the transport operator in the relaxation system. The spatial discretization is obtained by a combination of upwind and centered schemes in order to recover the correct numerical viscosity in different Mach regimes. The scheme is validated with one and two dimensional simulations of fluid flows and of deformations of compressible solids. We exploit the domain discretization through Cartesian grids, allowing for massively parallel computations (HPC) that drastically reduce the computational times on 2D test cases. Moreover, the scheme is adapted to the resolution on adaptive grids based on quadtrees, implementing adaptive mesh refinement techinques. The last part of the thesis is devoted to the numerical simulation of heterogeneous multi-material flows. A novel sharp interface method is proposed, with the derivation of implicit equilibrium conditions. The aim of the implicit framework is the solution of weakly compressible and low Mach flows, thus the proposed multi-material conditions are coupled with the implicit relaxation scheme that is solved in the bulk of the flow

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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 boundary conditions are updated to account for the leading-order non-linear terms and a new modal formulation with quadratic modes is derived. The quadratic modal approach is tested on standard benchmark problems of increasing complexity and compared with analytical and full non-linear numerical solutions. Two computational fluid-structure interaction approaches are then implemented in a partitioned manner: a finite volume method for discretisation of both the fluid and solid domains and the quadratic modal formulation for the structure coupled with a finite volume fluid solver. Strong-coupling is achieved by means of a fixed-point solver with dynamic relaxation. The fluid-structure interaction approaches are validated and compared on benchmark problems of increasing complexity and strength of coupling between the fluid and solid domains. Fluid-structure interaction systems may become unstable due to the interaction between the fluid-induced pressure and structural rigidity. A thorough stability analysis of finite elastic plates in uniform flow is conducted by varying the structural length and flow velocity showing that these are critical parameters. Validation of the results with those from analytical methods is done. An analysis of the dynamic interactions between multiple finite plates in various configurations is also conducted.

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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-strain relations contain terms that are quadratic in displacement gradients. The Signorini method is also used to analyze the St. Venant problem. Both for the St. Venant and the Almansi-Michell problems, the solution of the three dimensional problem is reduced to that of solving a sequence of two dimensional problems. For the St. Venant problem involving a second-order elastic material, the first order deformation is assumed to be an infinitesimal twist. In the solution of the Almansi-Michell problem, surface tractions on the mantle of the cylindrical body are expressed as a polynomial in the axial coordinate. When solving the problem by the semi-inverse method, displacements are also expressed as a polynomial in the axial coordinate. An explicit solution is obtained for a hollow circular cylindrical body with surface tractions on the mantle given by an affine function of the axial coordinate<br>Master of Science

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Le, blay Heiva. "Use of shear wave imaging to assess the mechanical and fracture behaviors of tough model gels." Electronic Thesis or Diss., Université Paris sciences et lettres, 2021. http://www.theses.fr/2021UPSLS096.

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Un hydrogel est un matériau mou, largement gonflé d’eau, rendu élastique via un réseau de chaînes de polymère. Un gel est intrinsèquement fragile. On peut remédier à cette fragilité grâce à l’ajout de liaisons sacrificielles dynamiques. L’ingénierie macromoléculaire a permis au XXIème siècle de formuler des gels à destination de la biologie afin de proposer des matériaux de synthèse tout en remédiant aux problèmes de biocompatibilité, à la compatibilité des interfaces tissu/matériau et des propriétés mécaniques dont le corps a besoin. Pourtant, la fracture de ces matériaux hautement déformables et parfois viscoélastiques reste un sujet mal compris et assez peu investigué expérimentalement. Le défi aujourd’hui est de mieux comprendre les mécanismes mis en jeu en pointe de fissure mais les techniques expérimentales qui permettent une approche locale et avec des cadences d’acquisition rapides sont limitées. Notre travail vise à développer une méthode innovante pour sonder la fracture des gels. L’eau étant leur principal composant, ces matériaux, comme les tissus biologiques, sont une excellente plateforme pour l’étude de la propagation d’ondes acoustiques, i.e. de cisaillement (S) ou de compression (P). Dans les matériaux composés principalement d’eau, les ondes de compression, typiquement les ultrasons, se propagent à environ 1500 m/s (vitesse des ondes P dans l’eau) alors que les ondes de cisaillement sont de l’ordre du m/s (entre environ 1-8 m/s) et leur vitesse augmente avec la rigidité du matériau. Il est donc possible de voir les ondes S se propager grâce à la différence de vitesse entre ces deux ondes. C’est le principe de l’élastographie par onde de cisaillement, technique d’imagerie utilisée dans cette étude pour comprendre la mécanique et la fracture des hydrogels.La fracture des gels a été étudiée localement en pointe de fissure de manière quasi-statique. Ensuite, les phénomènes physiques mis en jeu lors de la propagation d’une fissure ont été investigués grâce à l’imagerie ultrarapide.Il est important de comprendre comment la fracture se propage et s’il est possible de l’éviter ou de la stopper. Le but de tout matériel est d’éviter de casser et donc de résister à la propagation de fracture<br>A hydrogel is a soft material, largely swollen with water, made elastic via a network of polymer chains. A gel is inherently fragile. This brittleness can be overcome by adding dynamic sacrificial bonds. Macromolecular engineering of the 21st century has made possible the formulation of gels for use in biology in order to provide synthetic materials while addressing biocompatibility issues, tissue/material interface compatibility, and mechanical properties that the body requires. However, the fracture of these highly deformable and sometimes viscoelastic materials remains a poorly understood subject that has been little investigated experimentally. The challenge today is to better understand the mechanisms involved at the crack tip but the experimental techniques that allow a local approach and with fast acquisition rates are limited. Our work aims at developing an innovative method to probe the fracture of gels. Water being their main component, these materials, like biological tissues, are an excellent platform to study the propagation of acoustic waves, i.e. shear (S) or compression (P) waves. In materials composed mainly of water, compressional waves, typically ultrasound, propagate at about 1500 m/s (P-wave velocity in water) while shear waves are of the order of m/s (between about 1-8 m/s) and their velocity increases with the rigidity of the material. It is therefore possible to see the S waves propagating through the difference in speed between these two waves. This is the principle of shear wave elastography, an imaging technique used in this study to understand the mechanics and fracture of hydrogels.The gel fracture was studied locally at the crack tip in a quasi-static way. Then, the physical phenomena involved during crack propagation were investigated using ultrafast imaging.It is important to understand how the fracture propagates and if it is possible to avoid or stop it. The goal of any material is to avoid breaking and therefore to resist fracture propagation

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Books on the topic "Non-linear elasticity"

1

Ogden, R. W. Non-linear elastic deformations. Dover Publications, 1997.

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E, Green A., Naghdi P. M, Spencer, A. J. M. 1929-, and England A. H, eds. Non-linear elasticity and theoretical mechanics: In honour of A.E. Green. Oxford University Press, 1994.

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Lurie, A. I. Non-Linear Theory of Elasticity. Elsevier Science & Technology Books, 2012.

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Mathematical theory of non-linear elasticity. Horwood, 1985.

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Ogden, R. W. Non-Linear Elastic Deformations. Dover Publications, Incorporated, 2013.

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Ogden, R. W. Non-Linear Elastic Deformations. Dover Publications, Incorporated, 2013.

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Ogden, R. W. Non-Linear Elastic Deformations. Dover Publications, Incorporated, 2013.

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Luis Manuel Braga da Costa Campos. Non-Linear Differential Equations and Dynamical Systems. Taylor & Francis Group, 2019.

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Non-Linear Theory of Elasticity and Optimal Design. Elsevier, 2003. http://dx.doi.org/10.1016/b978-0-444-51427-1.x5000-2.

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Ratner, L. W. Non-Linear Theory of Elasticity and Optimal Design. Elsevier Science & Technology Books, 2003.

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Book chapters on the topic "Non-linear elasticity"

1

Stolz, Claude. "Non-linear and Linear Elasticity." In Springer Series in Solid and Structural Mechanics. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-51920-8_2.

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Toupin, R. A. "Elasticity and Electro-Magnetism." In Non-linear Continuum Theories. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-11033-7_6.

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Müller, Ingo, and Peter Strehlow. "3 Non-linear Elasticity." In Rubber and Rubber Balloons. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-45223-2_3.

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Lexcellent, Christian. "Yield Elasticity Criteria." In Linear and Non-linear Mechanical Behavior of Solid Materials. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-55609-3_4.

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Macaulay, M. "Non-linear and time-dependent elasticity." In Introduction to Impact Engineering. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3159-6_2.

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Rust, Wilhelm. "Theory and Numerics of the Linear Visco-elasticity." In Non-Linear Finite Element Analysis in Structural Mechanics. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-13380-5_6.

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Langemann, Dirk. "Handling Systems from Non-linear Theory of Elasticity." In Large-Scale Scientific Computing. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45346-6_39.

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Pennec, X., R. Stefanescu, V. Arsigny, P. Fillard, and N. Ayache. "Riemannian Elasticity: A Statistical Regularization Framework for Non-linear Registration." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11566489_116.

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Elmhaia, Oussama, Youssef Belaasilia, Bouazza Braikat, and Noureddine Damil. "Solving Non-linear Elasticity Problems by a WLS High Order Continuation." In Lecture Notes in Computer Science. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-50433-5_21.

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Vardoulakis, I., and G. Exadaktylos. "The Asymptotic Solution of Anisotropic Gradient Elasticity with Surface Energy for a Mode-II Crack." In IUTAM Symposium on Non–Linear Singularities in Deformation and Flow. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4736-1_9.

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Conference papers on the topic "Non-linear elasticity"

1

Bergamaschi, Silvio, Pier Stoppato, and Francesco Volponi. "Non-linear elasticity in TSS-1 vibrations." In Astrodynamics Conference. American Institute of Aeronautics and Astronautics, 1996. http://dx.doi.org/10.2514/6.1996-3586.

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Barat, Abhishek, Brian Vermeire, Mojtaba Kheiri, and Ashok Kaushal. "Linear and non-linear elasticity using the flux reconstruction approach." In Canadian Society for Mechanical Engineering International Congress 2023. Université de Sherbrooke. Faculté de génie, 2023. http://dx.doi.org/10.17118/11143/20926.

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Shamsaei, Behrouz, and James C. Newman. "Comparison of linear and non-linear elasticity large displacement mesh deformation in Computational Fluid Dynamics." In 46th AIAA Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-3183.

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Siginer, Dennis A. "Heat Transfer Asymptote in Laminar Tube Flows of Non-Linear Viscoelastic Fluids." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-23224.

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The fully developed thermal field in constant pressure gradient driven laminar flow of a class of nonlinear viscoelastic fluids with instantaneous elasticity in straight pipes of arbitrary contour ∂D with constant wall flux is investigated. The nonlinear fluids considered are constitutively represented by a class of single mode, non-affine constitutive equations. The driving forces can be large. Asymptotic series in terms of the Weissenberg number Wi are employed to expand the field variables. A continuous one-to-one mapping is used to obtain arbitrary tube contours from a base tube contour ∂D0. The analytical method presented is capable of predicting the velocity and temperature fields in tubes with arbitrary cross-section. Heat transfer enhancement due to shear-thinning is identified together with the enhancement due to the inherent elasticity of the fluid. The latter is to a very large extent the result of secondary flows in the cross-section but there is a component due to first normal stress differences as well. Increasingly large enhancements are computed with increasing elasticity of the fluid as compared to its Newtonian counterpart. Order of magnitude larger enhancements are possible even with slightly viscoelastic fluids. The coupling between inertial and viscoelastic nonlinearities is crucial to enhancement. Isotherms for the temperature field are discussed for non-circular contours such as the ellipse and the equilateral triangle together with the behavior of the average Nusselt number Nu, a function of the Reynolds Re, the Prandtl Pr and the Weissenberg Wi numbers. Analytical evidence for the existence of a heat transfer asymptote in laminar flow of viscoelastic fluids in non-circular contours is given for the first time. Nu becomes asymptotically independent from elasticity with increasing Wi, Nu = f (Pe,Wi) → Nu = f(Pe). This asymptote is the counterpart in laminar flows in non-circular tubes of the heat transfer asymptote in turbulent flows of viscoelastic fluids in round pipes. A different asymptote corresponds to different cross-sectional shapes in straight tubes. The change of type of the vorticity equation governs the trends in the behavior of Nu with increasing Wi and Pe. The implications on the heat transfer enhancement is discussed in particular for slight deviations from Newtonian behavior where a rapid rise in enhancement seems to occur as opposed to the behavior for larger values of the Weissenberg number where the rate of increase is much slower. The asymptotic independence of Nu from elasticity with increasing Wi is related to the extent of the supercritical region controlled by the interaction of the viscoelastic Mach number M and the Elasticity number E, which mitigates and ultimately cancels the effect of the increasingly strong secondary flows with increasing Wi to level off the enhancement. The physics of the interaction of the effects of the Elasticity E, Viscoelastic Mach M, Reynolds Re and Weissenberg Wi numbers on generating the heat transfer enhancement is discussed.

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Siginer, Dennis A., and Mario F. Letelier. "Heat Transfer in Internal Flows of Non-Linear Fluids: A Review." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-16077.

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A survey of the developments in heat transfer studies of non-linear inelastic as well as elastic fluids in tubes is given. Experimental findings concerning heat transfer enhancement characteristics of viscoelastic aqueous polymer solutions are very significant. Specifically, it is reported that heat transfer results for viscoelastic aqueous polymer solutions are drastically higher than those found for water in laminar flow in rectangular ducts. A number of investigators suggested that the high experimental heat transfer values were due to secondary flows resulting from the elasticity of the fluids. In this context recent results concerning the fully developed thermal field in constant pressure gradient driven laminar flow of a class of viscoelastic fluids characterized by single mode, non-affine constitutive equations in straight pipes of arbitrary contour ∂D is reviewed. Heat transfer enhancement due to shear-thinning is identified together with the enhancement due to the inherent elasticity of the fluid. The latter is the result of secondary flows in the cross-section. Increasingly large enhancements are computed with increasing elasticity of the fluid as compared to its Newtonian counterpart. Large enhancements are possible even with dilute fluids. Isotherms for the temperature field are presented and discussed for several non-circular contours such as the ellipse and the equilateral triangle together with heat transfer behavior in terms of the Nusselt number Nu.

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Matte, Christopher-Denny, and Tsz-Ho Kwok. "Simulation of Hyper-Elasticity by Shape Estimation." In ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/detc2020-22583.

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Abstract The simulation of complex geometries and non linear deformation has been a challenge for standard simulation methods. There has traditionally been a trade off between performance and accuracy. With the popularity of additive manufacturing and the new design space it enables, the challenges are even more prevalent. Additionally multiple additive manufacturing techniques now enable the use of hyperelastic materials as raw material for fabrication, and multi-material capabilities. This allows designers more freedom, but also introduces new challenges for control and simulation of the printed parts. In this paper, a novel approach to implementing non-linear material capabilities is devised with negligible additional computational for geometry based approaches. Material curves are fitted with a polynomial expression which can determine the tangent modulus, or stiffness, of a material based on strain energy. The moduli of all elements are compared to determine relative shape factors used to establish the blended shape of an element. This process is done dynamically to update the stiffness of a material in real-time, for any number of materials, regardless of linear or non-linear material curves.

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Sengupta, Mita, and Ran Bachrach. "Velocity updating around salt bodies using stress modeling solutions and non‐linear elasticity." In SEG Technical Program Expanded Abstracts 2008. Society of Exploration Geophysicists, 2008. http://dx.doi.org/10.1190/1.3063978.

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Shinkarenko, Alexey, Yuri Kligerman, and Izhak Etsion. "The Effect of Laser Surface Texturing on Soft Elasto-Hydrodynamic Lubrication Considering Non-Linear Elasticity." In ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2008. http://dx.doi.org/10.1115/esda2008-59017.

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A non-linear theoretical model is presented to study the effect of laser surface texturing (LST) on the load carrying capacity in soft elasto-hydrodynamic lubrication (SEHL). Both geometrical and physical non-linearity of the elastomer is considered by using a logarithmic strain and the Mooney-Rivlin constitutive law, respectively. The results of the present non-linear model are compared with those of a previous linear one over a wide range of operating conditions. It is found that the two models predict the same optimum LST parameters for maximum load capacity but the non-linear model gives load capacity that is up to 10% lower than that obtained from the linear model.

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Nosonovsky, Michael. "Friction-Induced Vibrations: From Linear Stability Criteria to Non-Linear Analysis of Limiting Cycles." In STLE/ASME 2010 International Joint Tribology Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ijtc2010-41158.

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Abstract:

The contact of two elastic bodies with a frictional interface can lead to friction-induced instabilities. The instabilities are either due to the velocity-dependence of friction, or due to the coupling of friction with the thermal expansion or wear, or due to the destabilization of the interface elastic waves. The instabilities lead to friction-induced vibrations. The linear elasticity usually provides a criterion for the onset of the instability and predicts that the amplitude of the unstable vibration grows exponentially with time. However, it does not provide any information about the amplitudes of vibrations. It is expected that the amplitudes of vibrations grow exponentially until they leave the range of applicability of the linear theory and reach a certain limiting cycle. We discuss how various non-linear methods of pattern-formation analysis can be applied to this problem, including the Turing systems, self-organized criticality, etc.

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10

Allen, Wes M., Philip Wijesinghe, Lixin Chin, et al. "Utilising non-linear elasticity to increase mechanical contrast in quantitative optical coherence elastography (Conference Presentation)." In Optical Elastography and Tissue Biomechanics IV, edited by Kirill V. Larin and David D. Sampson. SPIE, 2017. http://dx.doi.org/10.1117/12.2253382.

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Reports on the topic "Non-linear elasticity"

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Jimenez Mori, Raul Alberto, and Ariel Yépez-García. Understanding the Drivers of Household Energy Spending: Micro Evidence for Latin America. Inter-American Development Bank, 2017. http://dx.doi.org/10.18235/0011795.

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Abstract:

The paper investigates the determinants of household energy spending and energy budget shares, with a focus on understanding their non-linear relationship with income, and the presence of economies of scale. The analysis is based on a unique, harmonized collection of official household surveys from 13 Latin American countries. This dataset allows distinguishing between expenditures on electricity, domestic gas, and fuel for private transportation, providing a comprehensive distributional view of the energy spending profile of the residential sector. The estimated empirical Engel curves behave similarly; however, the derived income elasticities show marked distinctions by fuel, and their actual values depend on the households' relative position over the income distribution. For electricity, the elasticity tends to increase in income but stabilize at the wealthiest segments. For gas and transport fuel, it decreases under different income paths. In this dataset, the examination returns income elasticities on the (0,1) interval, suggesting that energy commodities are necessity goods. However, the distribution of aggregate energy expenditure needs to be considered. Specifically, there is a great concentration among the richer groups, particularly for transport fuels, where the top quintile gathers more than half of the aggregate spending. The results also indicate economies of scale -for electricity and domestic gas- with respect to family-age composition, and to a lesser extent with respect to dwelling size. In the case of electricity, these economies are more pronounced for richer households. These results join the previous literature in emphasizing the relevance of taking into account household demographic and socioeconomic trends for energy management.

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