Coupled thermo-mechanical model for shape memory alloys

In the present work, a general coupled formulation on the thermomechanical behavior of shape memory alloys is presented. The heat transfer takes into the sources of dissipation of mechanical nature (elastic dilatation of the material subjected to heating) and chemical origin (phase transformation). Information concerning the rheology laws of shape memory materials (strain-stress-temperature as well as specific heat-temperature curves) is taken from experimental data and approximated by dual kriging using a simple analytical function of strain, stress and temperature, which describes the thermomechanical behavior of the material for any partial loading and/or temperature cycle.