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. The project supported by the National Natural Science Foundation of China (19932030) and Special Funds for Major State Basic Research Projects