The statistical second-order two-scale analysis for dynamic thermo-mechanical performances of the composite structure with consistent random distribution of particles

This study presents a statistical second-order two-scale (SSOTS) method to predict dynamic coupled thermo-mechanical performances of 3-D composite materials with consistent random distribution of particles. In the dynamic thermo-mechanical problem considered, a mutual interaction exists between the displacement and temperature fields. The statistical second-order two-scale asymptotic formulations for calculating the effective thermal and mechanical parameters, temperatures, displacements, heat flux densities and stresses of the problem are developed firstly. And then, the procedure of numerical computation based on the SSOTS method is discussed in detail. The numerical results obtained by using the SSOTS algorithm are compared with those by FEM in a very fine mesh. It shows that the SSOTS method is not only feasible, but also accurate and efficient to predict dynamic thermo-mechanical performances of composite materials with consistent random distribution of particles. Numerical results also demonstrate that the SSOTS method can capture the microscopic characteristics effectively.