Toward a nonequilibrium thermodynamics of two-phase materials
type: Item
instance of: scholarly article
title: Toward a nonequilibrium thermodynamics of two-phase materials
zbMATH Open document ID: 0673.73007
DOI: 10.1007/BF00251518
author: Morton E. Gurtin
published in: Archive for Rational Mechanics and Analysis
publication date: 1988-01-01T00:00:00Z
review text: In this paper a nonequilibrium thermodynamics theory of two-phase materials is constructed. The considerations are limited to nondeformable bodies in the absence of diffusion. The author starts his presentation with the first two laws in forms, appropriate to a continuum, which contain interfacial constributions for energy and entropy. The second law represents a generalization of the well known Clausius-Duhem inequality. A general constitutive theory for the interface is considered (free energy and entropy are dependent on temperature \(\theta\) and on the orientation of the interface). The temperature dependence on the kinematics of the interface is essential for this theory. Compatibility restrictions with the second law are obtained. The equilibrium states are analysed and informations concerning the temperature of the interface at equilibrium and away from equilibrium are obtained. Approximate interface conditions for weak interface are derived.
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 80A05
zbMATH DE Number: 4102549
zbMATH Keywords: compatibility restrictions with the second law
zbMATH Keywords: equilibrium states
zbMATH Keywords: approximate interface conditions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4102549