The dynamics of configurational forces at phase-transition fronts
type: Item
instance of: scholarly article
title: The dynamics of configurational forces at phase-transition fronts
zbMATH Open document ID: 0856.73005
DOI: 10.1007/BF01557088
author: Carmine Trimarco
author: Gérard A. Maugin
published in: Meccanica
publication date: 1997-02-23T00:00:00Z
review text: Starting out with the jump conditions at a travelling discontinuity surface and with the balance equations on the material manifold (that are the pull backs of the usual [physical] balance equations by the inverse motion to the reference configuration [placement]), the authors compute the power developed by the accompanying surface source of quasi-inhomogeneities at the phase transition front. This power relates directly to the normal jump of the Eshelby stress, this is the analogue of the Cauchy stress tensor in the (un-)balance of the pseudo-momentum on the material manifold. The power is dissipated at the front. By use of the second law and in case of a homothermal front, this dissipation is related to a non-negative heat source localized in the transition front. The approach does not make use of special constitutive equations, except of the existence of a joint potential for the Cauchy and the Eshelby stress tensors.
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 80A22
zbMATH DE Number: 831956
zbMATH Keywords: configurational forces
zbMATH Keywords: balance equations on material manifold
zbMATH Keywords: jump conditions
zbMATH Keywords: Eshelby stress
zbMATH Keywords: Cauchy stress tensor
zbMATH Keywords: second law
zbMATH Keywords: homothermal front
reviewed by: Wolfgang Muschik
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01557088
OpenAlex ID: W2024352656
description: scientific article; zbMATH DE number 831956