A reformulation of the strong ellipticity conditions for unconstrained hyperelastic media
type: Item
instance of: scholarly article
title: A reformulation of the strong ellipticity conditions for unconstrained hyperelastic media
zbMATH Open document ID: 0876.73030
DOI: 10.1007/BF00042193
author: Y. Wang
author: M. Aron
published in: Journal of Elasticity
publication date: 1997-12-02T00:00:00Z
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 1022672
zbMATH Keywords: function of principal stretches
zbMATH Keywords: equilibrium equations
zbMATH Keywords: stored-energy function
MaRDI profile type: Publication
cites work: On copositive matrices and strong ellipticity for isotropic elastic materials
cites work: Ellipticity and deformations with discontinuous gradients in finite elastostatics
cites work: An effective method of verifying Hadamard's condition for a nonlinearly elastic compressible medium
cites work: On the failure of ellipticity of the equations for finite elastostatic plane strain
cites work: On the theory of plane strain in finitely deformed compressible materials
cites work: Sur la faible fermeture de certains ensembles de contraintes en élasticité non-linéaire plane. (Weak closure of certain sets of constraints in plane nonlinear elasticity)
cites work: A simple derivation of necessary and sufficient conditions for the strong ellipticity of isotropic hyperelastic materials in plane strain
cites work: Plane elastic waves of finite amplitude. Hadamard materials and harmonic materials
cites work: Q4364721
cites work: Q4023641
cites work: The pressurized hollow sphere problem in finite elastostatics for a class of compressible materials
cites work: On the ellipticity of the equations of nonlinear elastostatics for a special material
cites work: Two New Universal Relations in Nonlinear Elasticity and Some Related Matters
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description: scientific article; zbMATH DE number 1022672