Material formulation of finite-strain thermoelasticity and applications

The present contribution exhibits in a rational manner the progress recentl y achieved in the understanding of the canonical formulation of thermoelast icity on the material manifold. This formulation places in evidence the cri tical role played by the notion of material Eshelby stress in an equation t hat exhibits original source terms due to thermal effects, either in the bu lk or at moving interfaces. Thermal effects are manifested here as quasi-in homogeneity effects. This formulation captures well field singularities and in fact allows for the thermomechanical formulation of forces driving defe cts. Such a formulation also applies directly to devising a thermodynamical ly based numerical scheme using the notion of Schottky discrete systems.