Homogenization of singular integrals in W^{1,\infty}

Abstract

A periodic homogenization result of nonconvex integral functionals in the vectorial case with convex bounded constraints on gradients is proved. The class of integrands considered have singular behavior near the boundary of the convex set of the constraints. We apply the result to the case of periodic homogenization in hyperelasticity for bounded gradients of deformations.

arXiv comment23 pages

Cited by in corpus (1)

• Stochastic homogenization of nonconvex unbounded integral functionals with convex growth