Second-Order Two-Scale Analysis Method for Dynamic Thermo-Mechanical Problems in Periodic Structure

Abstract

In this paper, we develop the second-order two-scale (SOTS) analysis method and numerical algorithm for dynamic thermo-mechanical problems of composite materials with 3-D periodic configuration. In the problem considered, there exists a mutual interaction between the displacement and temperature fields. By the asymptotic expansion of temperature and displacement fields, the cell problems, effective thermal and mechanical parameters, homogenized equations and SOTS formulas of temperatures and displacements are obtained. The numerical algorithm based on the SOTS method is given. Finally, some numerical examples are shown. The numerical results show that the SOTS method is feasible and valid to predict the dynamic thermo-mechanical behaviors of periodic composite materials.