Journal ArticleDOI
Convexity conditions and existence theorems in nonlinear elasticity
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This article is published in Archive for Rational Mechanics and Analysis.The article was published on 1976-12-01. It has received 2329 citations till now. The article focuses on the topics: Convexity & Linear elasticity.read more
Citations
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Structural optimization using sensitivity analysis and a level-set method
TL;DR: A new numerical method based on a combination of the classical shape derivative and of the level-set method for front propagation, which can easily handle topology changes and is strongly dependent on the initial guess.
Book
Nonlinear problems of elasticity
TL;DR: This book discusses the theory and applications of Bifurcation Theory and its applications to Elasticity, as well as problems in Nonlinear Elasticity and Dynamical Problems.
Journal ArticleDOI
Fine phase mixtures as minimizers of energy
TL;DR: In this article, the authors explore a theoretical approach to these fine phase mixtures based on the minimization of free energy and show that the α-phase breaks up into triangular domains called Dauphine twins which become finer and finer in the direction of increasing temperature.
Journal ArticleDOI
On the Cauchy problem for Boltzmann equations: global existence and weak stability
TL;DR: In this article, the authors studied the large-data Cauchy problem for Boltzmann equations with general collision kernels and proved that sequences of solutions which satisfy only the physically natural a priori bounds converge weakly in L' to a solution.
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A Theorem on Geometric Rigidity and the Derivation of Nonlinear Plate Theory from Three-Dimensional Elasticity
TL;DR: The energy functional of nonlinear plate theory is a curvature functional for surfaces rst proposed on physical grounds by G. Kirchhoff in 1850 as mentioned in this paper, and it arises as a 0-limit of three-dimensional nonlinear elasticity theory as the thickness of a plate goes to zero.
References
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Book
The physics of rubber elasticity
TL;DR: In this paper, the Elasticity of Long-Chain Molecules (LCHs) and Elasticity in a Molecular Network (MNNs) is investigated. But the authors focus on the elasticity of the long chain Molecules.
Book
Théorie des distributions
TL;DR: The merite as discussed by the authors is a date marque une date dans le progres des mathematiques and de la physique en levant l'ambiguite que constituait le succes des methodes de calcul symbolique aupres des physiciens and l'inacceptabilite de leurs formules au regard de la rigueur mathematiques.
BookDOI
Multiple integrals in the calculus of variations
TL;DR: In this paper, a variational method in the theory of harmonic integrals has been proposed to solve the -Neumann problem on strongly pseudo-convex manifolds and parametric Integrals two-dimensional problems.