Material symmetry and the evolution of anisotropies in a simple material-I. Change of reference configuration

Mehrdad Negahban, Alan S. Wineman

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Noll's rule is used to determine the structure of a material symmetry group written with respect to one reference configuration when the representation of the symmetry with respect to another configuration is the traditional material symmetry group associated with isotropy, transverse isotropy or orthotropy, and for an arbitrary deformation gradient relating the two configurations. It is shown that the former symmetry group can contain an orthogonal subgroup. It is determined whether this subgroup is that for isotropic, transversely isotropic, orthotropic, monoclinic, or triclinic response, and the preferred directions of the symmetry are determined.

Original languageEnglish (US)
Pages (from-to)521-536
Number of pages16
JournalInternational Journal of Non-Linear Mechanics
Volume24
Issue number6
DOIs
StatePublished - Jan 1 1989

Fingerprint

Symmetry Group
Anisotropy
Symmetry
anisotropy
Configuration
symmetry
configurations
Transverse Isotropy
Orthotropy
Subgroup
isotropy
subgroups
Transversely Isotropic
Isotropy
Gradient
Arbitrary
gradients

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

Material symmetry and the evolution of anisotropies in a simple material-I. Change of reference configuration. / Negahban, Mehrdad; Wineman, Alan S.

In: International Journal of Non-Linear Mechanics, Vol. 24, No. 6, 01.01.1989, p. 521-536.

Research output: Contribution to journalArticle

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