Applied Mathematics and Optimization, Vol.57, No.1, 69-97, 2008
Characterization of two-scale gradient young measures and application to homogenization
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.