Using the gradients of temperature and internal parameters in Continuum Thermodynamics

Peter Ireman (1) , Quoc Son Nguyen

1 DME - Department of Mechanical Engineering

In this paper, the possibility of using the gradients of the temperature and of the internal parameters as additional state variables in Continuum Thermodynamics is considered. The expressions of the two principles are discussed and Clausius-Duhem inequality is derived under an appropriate statement of the internal entropy production. Several formulations are proposed and compared to existing results in the literature.

Mots clés: continuum mechanics; continuum thermodynamics; internal parameter gradient; temperature gradient

Domaines: Matériaux et structures en mécanique [physics.class-ph]

Peter Ireman, Quoc Son Nguyen. Using the gradients of temperature and internal parameters in Continuum Thermodynamics. Comptes Rendus Mécanique, 2004, 332, pp.249-255. ⟨10.1016/j.crme.2004.01.012⟩. ⟨hal-00105173⟩