Conditions necessaires de faible fermeture et de 1-rang convexity en dimension 3. (Necessary conditions for weak closure and rank-one convexity in three-dimensional elasticity)
type: Item
instance of: scholarly article
title: Conditions necessaires de faible fermeture et de 1-rang convexity en dimension 3. (Necessary conditions for weak closure and rank-one convexity in three-dimensional elasticity)
zbMATH Open document ID: 0647.73017
DOI: 10.1007/BF02844538
publication date: 1985-01-01T00:00:00Z
review text: In this interesting paper, motivated by minimization problems of nonlinear isotropic elasticity, authors study certain necessary conditions of sequentially weak closure for the domain where the candidate minimizers are sought; these conditions have the form of kinematical constraints on admissible stretches. Moreover, for rank-one convex stored energy functions of class \(C^ 2\), necessary conditions are found whose constitutive significance would perhaps deserve further investigation.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 4057122
zbMATH Keywords: isotropic regular functions
zbMATH Keywords: restricted convexity
zbMATH Keywords: minimization problems
zbMATH Keywords: isotropic elasticity
zbMATH Keywords: sequentially weak closure
zbMATH Keywords: kinematical constraints on admissible stretches
zbMATH Keywords: rank-one convex stored energy functions
author: Gilles Aubert
author: Rabah Tahraoui
MaRDI profile type: Publication
cites work: Q3872840
cites work: Q3878033
cites work: Q3864269
cites work: Differentiability properties of symmetric and isotropic functions
cites work: Q3713029
published in: Rendiconti del Circolo Matematico di Palermo
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description: scientific article; zbMATH DE number 4057122