, Volume 57, Issue 1, pp 69-97

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

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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.