Two-scale Analysis for the Composite Plate with 3-D Small Periodic Configuration under Condition of Coupled Thermoelasticity

Abstract

In this paper, the second-order two-scale analysis method for dynamic propagation of mechanical and thermal disturbances of the plate made from composites with 3-D periodic configuration is presented by means of construction way. It can capture the microscopic 3-D coupled mechanical-thermal behaviors caused from 3-D micro-structures. First, directly starting from the 3-D elastic plate model of composite materials with 3-D periodic configuration, three cell models are defined, and correspondingly the three classes of cell functions only defined on the normalized cells are constructed. And then, the effective homogenization parameters of composites are calculated from those local functions, it leads to a homogenized laminar plate problem. Next, to solve it the homogenization solution is obtained. Finally, the second-order two-scale solution for dynamic coupled thermoelasticity problems of periodical composites plates in three dimension case is constructed from the micro-cell functions and the homogenization solution.