Homogenization of piezoelectric solid and thermodynamics

The problem of homogenization of a piezoelectric periodic composite in which thermal effects are taken into account is treated by a method of 2-scale asymptotic expansions. Albeit a nonlinear entropy-temperature relation is used, the local problems are formulated in a way similar to that of a linear theory. Also, effective material coefficients are in majority the same as those obtained in a linearized theory. The difference appears in the homogenized thermoelastic, thermoelectric and specific heat coefficients only. A Francfort type result on shift of the initial conditions for a homogenized problem is also obtained.