Hypertemperature in thermoelastic solids

Samuel Forest (1) , Michel Amestoy

1 CDM - Centre des Matériaux

The classical thermomechanics of solids is extended to incorporate a non-trivial dependence of the internal energy density function on the gradient of entropy. A generalized heat equation is derived for rigid heat conductors. The theory is shown to differ from existing models including gradient of temperature effects in the free energy.

Mots clés: Milieux continus; Thermomécanique des milieux continus; Gradient d'entropie; Gradient de température; Équation de la chaleur généralisée

Domaines: Science des matériaux [cond-mat.mtrl-sci]

Samuel Forest, Michel Amestoy. Hypertemperature in thermoelastic solids. Comptes Rendus Mécanique, 2008, 336, pp.347-353. ⟨10.1016/j.crme.2008.01.007⟩. ⟨hal-00268283⟩