On thermostatics of non-simple materials with memory
type: Item
instance of: scholarly article
title: On thermostatics of non-simple materials with memory
zbMATH Open document ID: 0669.73003
published in: Journal of Non-Equilibrium Thermodynamics
publication date: 1989-01-01T00:00:00Z
review text: In the paper the thermostatics of materials with memory whose stress and free energy depend on the higher gradients of deformation is analyzed. At first, the authors derive the restrictions which the isothermal version of the Clausius-Duhem inequality imposes on the constitutive functionals. Then they consider equilibrium states of the global body and introduce a concept of stability via an appropriate version of the energy criterion. In conclusion, they obtain the equilibrium stress relation at points of stability, the Eshelby conservation law, and discuss various quasiconvexity properties of the free energy. These results suffice to extend the main conclusions of the second author [ibid. 9, 177-186 and 187-199 (1984; Zbl 0562.73004; Zbl 0562.73005); and Arch. Ration. Mech. Anal. 88, 135-161 (1985; Zbl 0624.73007)] on stable phase transitions to the materials considered.
Mathematics Subject Classification ID: 74A15
zbMATH DE Number: 4096836
zbMATH Keywords: higher gradients of deformation
zbMATH Keywords: equilibrium states of the global body
zbMATH Keywords: concept of stability
zbMATH Keywords: equilibrium stress relation at points of stability
zbMATH Keywords: Eshelby conservation law
zbMATH Keywords: quasiconvexity properties of the free energy
author: Clifford E. Beevers
author: Miroslav Šilhavý
MaRDI profile type: Publication
full work available at URL: jnet.1989.14.1.83
OpenAlex ID: W2088288718
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DOI: 10.1515/JNET.1989.14.1.83
description: scientific article; zbMATH DE number 4096836