Calculus of Variations and Geometric Measure Theory

C. Heinemann - C. Kraus - E. Rocca - R. Rossi

A temperature-dependent phase-field model for phase separation and damage

created by rossi on 17 Oct 2015


Submitted Paper

Inserted: 17 oct 2015
Last Updated: 17 oct 2015

Year: 2015


In this paper we study a model for phase separation and damage in thermoviscoelastic materials. The main novelty of the paper consists in the fact that, in contrast with previous works in the literature, we encompass in the model thermal processes, nonlinearly coupled with the damage, concentration and displacement evolutions. More in particular, we prove the existence of ``entropic weak solutions'', resorting to a solvability concept first introduced in the framework of Fourier-Navier-Stokes systems and then recently employed for the study of PDE systems for phase transition and damage. Our global-in-time existence result is obtained by passing to the limit in a carefully devised time-discretization scheme.