The description of material symmetry in materials with memory
type: Item
instance of: scholarly article
title: The description of material symmetry in materials with memory
zbMATH Open document ID: 0604.73002
DOI: 10.1016/0020-7683(87)90063-1
published in: International Journal of Solids and Structures
publication date: 1987-01-01T00:00:00Z
review text: Two forms of the conventional procedure for describing material symmetry are presented in the context of the mechanics of materials with memory, in which the stress matrix at time t is assumed to be a functional of the history of the deformation gradient matrix in the time interval \([t_ 0,t]\). In one of these forms the particle considered is identified by its position at time \(t_ 0\) and in the other by its position at time t. This procedure is contrasted with that proposed by \textit{W. Noll} [Arch. Ration. Mech. Anal. 2, 197-226 (1958; Zbl 0083.393)]. Unlike the conventional procedure, in that of Noll the concepts of material symmetry and material frame indifference are inextricably intertwined. Moreover, it does not have general applicability to areas of continuum physics other than mechanics, as does the conventional procedure.
Mathematics Subject Classification ID: 74E15
Mathematics Subject Classification ID: 74A20
zbMATH DE Number: 3976458
zbMATH Keywords: thermal conduction in rigid body
zbMATH Keywords: material symmetry
zbMATH Keywords: materials with memory
author: R. S. Rivlin
author: Gerald F. Smith
MaRDI profile type: Publication
full work available at URL: 0020-7683(87)90063-1
OpenAlex ID: W4252977286
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description: scientific article; zbMATH DE number 3976458