Characterization of two-scale gradient Young measures and application to homogenization
Santos, Pedro M.
Mathematics - Analysis of PDEs | 74Q05, 49J45, 28A33, 46E27
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.