ABSTRACT

In that framework, our objective is to derive a thermodynamically consistent model for strain-induced crystallization which respects all fundamental mechanics, which predicts right hysteresis and whose differential structure makes it a good candidate for large scale simulations. We therefore first review in section 1 state-of-the-art experiments and identify what we think are the constitutive aspects of cyclic behaviour. We then construct a constitutive law in section 2 from an adequate choice of free energy and internal variables. Thermodynamical consistency is formulated then, and yields constitutive equations for stress, entropy, and for the thermodynamical force for crystallization. This enables us to develop evolution laws to be plugged into numerical models. The model is then validated on a few significative experimental data sets in section 3.