Homogenization of unbounded singular integrals in W1,∞

Omar Anza Hafsa; Jean-Philippe Mandallena

doi:10.1007/s11587-011-0124-y

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Homogenization of unbounded singular integrals in W1,∞

Journal article

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Peer reviewed

Homogenization of unbounded singular integrals in W1,∞

Omar Anza Hafsa and Jean-Philippe Mandallena

Ricerche di matematica, Vol.61(2), pp.185-217

2012

DOI: https://doi.org/10.1007/s11587-011-0124-y

Abstract

Homogenization

nonconvex singular integrands

constraints on the gradient

determinant type constraints

hyperelasticity

We study homogenization by Г-convergence, with respect to the L1-strong convergence, of periodic multiple integrals in W1,∞ when the integrand can take in finite values outside of a convex bounded open set of matrices.

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Title: Homogenization of unbounded singular integrals in W1,∞
Creators - without role: Omar Anza Hafsa - Modélisation Mathématique en Mécanique
Jean-Philippe Mandallena - Université de Nîmes
Publication Details: Ricerche di matematica, Vol.61(2), pp.185-217
Identifiers: 9941426909311
Academic Unit: Laboratoire de Mécanique et Génie Civil - LMGC
Language: English
Resource Type: Journal article
Local Fields: hal-00798877