Thermodynamic restrictions on constitutive equations for second-deformation-gradient inelastic behavior
type: Item
instance of: scholarly article
title: Thermodynamic restrictions on constitutive equations for second-deformation-gradient inelastic behavior
zbMATH Open document ID: 0876.73023
DOI: 10.1016/0022-5096(95)00054-M
published in: Journal of the Mechanics and Physics of Solids
publication date: 1997-11-25T00:00:00Z
review text: We examine the possibility of a model of non-local inelasticity on thermodynamic grounds in the absence of higher-order stresses or additional kinematic entities. By considering a material that cannot support higher-order stresses, it is found that thermodynamics does not allow an explicit nonlocal dependence in the free-energy, and hence the stress and entropy response, but allows it in the strength and internal variable rate response. Rate-independent plasticity presents its own peculiarities in the proof of this result, which are also inherent in deriving the constitutive restrictions for the local material. An account of the basic thermodynamic framework and the reasoning used in these proofs are provided in listing the result for the conventional rate-independent solid. This procedure represents the building blocks for the derivation of the constitutive restrictions of the non-local theory, in which second-deformation-gradient-dependent constitutive postulates for inelastic materials are introduced. The general considerations are utilized to illustrate the constitutive structure of a rate-independent metal single crystal deforming by multiple slip.
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74A15
zbMATH DE Number: 1025667
zbMATH Keywords: rate-independent plasticity
zbMATH Keywords: non-local inelasticity
zbMATH Keywords: metal single crystal
zbMATH Keywords: multiple slip
author: Amit Acharya
author: Tarek G. Shawki
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1025667