Multi-scale analysis for the structure of composite materials with small periodic configuration under condition of coupled thermoelasticity

The two-scale asymptotic expression of the solution for the increment of temperature in a structure with a small periodic configuration is presented first, and the two-scale asymptotic expression of the displacement for the structure under the coupled thermoelasticity condition is then derived in this paper. In the asymptotic expressions the two-scale coupled relation between the increment of temperature and displacement is included. The approximate solutions and its error estimations are given.