Characterization of two-scale gradient Young measures and application to homogenization
Jean‐François Babadjian, Margarida Baı́a, Pedro Miguel Santos · arXiv (Cornell University) · 2006
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.