Author(s)

S. Andrieux & P. de Bonnieres

Abstract

Including thermal gradients into thermoelastic damaging constitutive laws: a homogenization approach S. Andrieux, P. de Bonnieres Electricite de France, Direction des Etudes et Recherches, Av. du General de Gaulle, 91 141 Clamart Cedex, France ABSTRACT The purpose of the paper is to construct, by means of an homogenization process, thermoelastic damaging constitutive laws including the effects of thermal gradients Unlike usual models, a dependence of the macroscopic free energy on the thermal gradients vector is obtained. A careful derivation of the macroscopic form of the Clausius-Duhem inequality remove the apparent contradiction with general results of Coleman and Gurtin denying any dependence of the free energy on thermal gradient Applications have been made for micro cracked media, the energy release rate actually depends on the thermal gradients and the damage yield function is then supplemented by a quadratic term. Numerical validations of the model, by direct computation o

Keywords