The description of material symmetry in materials with memory

  • Rivlin R
  • Smith G
  • 2

    Readers

    Mendeley users who have this article in their library.
  • 4

    Citations

    Citations of this article.

Abstract

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 [t0,t]. In one of these forms the particle considered is identified by its position at time t0and in the other by its position at timet. This procedure is contrasted with that proposed by Noll in 1958. 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. © 1978.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • R. S. Rivlin

  • G. F. Smith

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free