, Volume 57, Issue 1, pp 69-97
Date: 05 Sep 2007

Characterization of Two-Scale Gradient Young Measures and Application to Homogenization

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

This work is devoted to the study of two-scale gradient Young measures naturally arising in nonlinear elasticity homogenization problems. Precisely, a characterization of this class of measures is derived and an integral representation formula for homogenized energies, whose integrands satisfy very weak regularity assumptions, is obtained in terms of two-scale gradient Young measures.

Correspondence to: Jean-François Babadjian.