Homogenization of nonconvex integrals with convex growth

Omar Anza Hafsa (1) , Jean-Philippe Mandallena (2)

1 M3 - Modélisation Mathématique en Mécanique
2 MIPA - Mathématiques, Informatique, Physique, et Applications / Université de Nîmes

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.

Mots clés: Homogenization; nonconvex integrands; convex growth; determinant type constraints; hyperelasticity

Domaines: Analyse classique [math.CA]

Omar Anza Hafsa, Jean-Philippe Mandallena. Homogenization of nonconvex integrals with convex growth. Journal de Mathématiques Pures et Appliquées, 2011, 96 (2), pp.167-189. ⟨10.1016/j.matpur.2011.03.003⟩. ⟨hal-00797715⟩