Journal of Elasticity

, Volume 53, Issue 1, pp 37–45

A New Representation Theorem for Elastic Constitutive Equations of Cubic Crystals


DOI: 10.1023/A:1007591025837

Cite this article as:
Xiao, H. Journal of Elasticity (1998) 53: 37. doi:10.1023/A:1007591025837


The objective of this paper is to provide a new irreducible nonpolynomial representation for elastic constitutive equations of cubic crystals with the material symmetry group O or Td or Oh. The presented result is expressed in terms of a generating set composed of nine polynomial tensor generators. It is simpler and more compact than a recent result in terms of a generating set composed of ten tensor generators.

nonlinear elasticityconstitutive equationinvariance restrictioncubic crystalnonpolynomial representation.

Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • H. Xiao
    • 1
  1. 1.Institute of Mechanics IRuhr-University BochumBochumGermany