Two-scale thermo-mechanical coupled analysis by using the generalized convergence theory

Abstract

We present fully thermo-mechanical coupled two-scale analysis for general dissipative solids. We firstly define thermo-mechanical coupled energy functional by that thermo-mechanical coupled incremental variational framework is combined with Hu-Washizu type formulation reflected in hyperelastic constitutive law and Fourier-type heat conduction law. After that, we apply the generalized convergence theory to it, which let us create the two-scale thermo-mechanical coupled problem that rate-dimensional state variables are solved. The applicability of our proposed method is verified by performing numerical material testing and FE² type multiscale analysis.