Thermoelasticity and homogenization

The problem of homogenization of a nonlinear thermoelastic periodic composite is treated by the method of the two-scale asymptotic expansions. Effective material coefficients are given in the general form, different from that obtained in the standard linearized theory. The local problems are however the same as in the linearized theory. The Francfort's remark on a shift of the initial conditions remains to be valid in a modified form.