Homogenization of nonconvex integrals with convex growth

Omar Anza Hafsa; Jean-Philippe Mandallena

doi:10.1016/j.matpur.2011.03.003

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Homogenization of nonconvex integrals with convex growth

Journal article

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Peer reviewed

Homogenization of nonconvex integrals with convex growth

Omar Anza Hafsa and Jean-Philippe Mandallena

Journal de Mathématiques Pures et Appliquées, Vol.96(2), pp.167-189

08/2011

DOI: https://doi.org/10.1016/j.matpur.2011.03.003

Abstract

Homogenization

nonconvex integrands

convex growth

determinant type constraints

hyperelasticity

We study homogenization by T-convergence of periodic multiple integrals of the calculus of variations when the integrand can take infinite values outside of a convex set of matrices.

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Details

Title: Homogenization of nonconvex integrals with convex growth
Creators - without role: Omar Anza Hafsa - Modélisation Mathématique en Mécanique
Jean-Philippe Mandallena - Université de Nîmes
Publication Details: Journal de Mathématiques Pures et Appliquées, Vol.96(2), pp.167-189
Identifiers: 9936506009311
Academic Unit: Laboratoire de Mécanique et Génie Civil - LMGC
Language: English
Resource Type: Journal article
Local Fields: hal-00797715