Nonisothermal conservative phase-field model for electric breakdown process

Abstract

In this paper we consider phase-field model which describes electric breackdown process in solid dielectrics. The presented model extends the earlier presented one. The derived model includes energy conservation equation, accounts for nonisothermal effects (e.g., Joule heating) and consistently describes energy transformation during breakdown channel propagation. The consistent derivaton of the model is performed in the context of rational thermomechanics framework and M. Gurtin theory of microstresses and microforces.