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)
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.
kinematical constraints on admissible stretches
scientific article; zbMATH DE number 4057122
scientific article