On the thermodynamic conditions at moving phase-transition fronts in thermoelastic solids
type: Item
instance of: scholarly article
title: On the thermodynamic conditions at moving phase-transition fronts in thermoelastic solids
zbMATH Open document ID: 1059.80005
DOI: 10.1515/JNETDY.2004.004
published in: Journal of Non-Equilibrium Thermodynamics
publication date: 2004-08-16T00:00:00Z
review text: The main goal of the paper is to establish possible thermodynamic conditions at a phase boundary to describe a propagation of phase-transition fronts in crystalline solids. Classical equilibrium conditions are not valid in the case of fast propagation of sharp phase interfaces through the material during stress-induced martensitic phase transformation. Instead of the introduction of a kinetic relation, a non-equilibrium jump relation is derived at the phase boundary. The equilibrium conditions are extended to non-equilibrium in the framework of thermodynamics of discrete systems. The interaction energy between the discrete elements adjacent to the phase boundary is included. To provide the description of nonequilibrium states, the thermodynamic state space includes so-called contact quantities in addition to usual local equilibrium variables, and additional constitutive relations between the energy of interaction and contact quantities are introduced.
Mathematics Subject Classification ID: 80A17
Mathematics Subject Classification ID: 74A15
zbMATH DE Number: 2091850
zbMATH Keywords: non-equilibrium thermodynamics
zbMATH Keywords: phase front propagation
zbMATH Keywords: thermoelastic solids
zbMATH Keywords: martensitic phase transition
zbMATH Keywords: material formulation of balances
zbMATH Keywords: contact quantities in non-equilibrium
author: Arkadi Berezovski
author: Gérard A. Maugin
reviewed by: Christina Papenfuß
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2091850