One-dimensional thermoelasticity with dual internal variables

Abstract

The overall description of thermomechanical processes inmicrostructured solids includes both direct and indirect couplings of equations of motion and heat conduction at the macrolevel. In addition to the conventional direct coupling, there exists the coupling between macromotion and microtemperature evolution. This means that the macrodeformation can induce microtemperature perturbations due to the heterogeneity in the presence of a microstructure. These perturbations, propagating with finite speed, can induce, in turn, corresponding changes in macrotemperature.