Journal of Elasticity

, Volume 53, Issue 1, pp 37–45 | Cite as

A New Representation Theorem for Elastic Constitutive Equations of Cubic Crystals



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 elasticity constitutive equation invariance restriction cubic crystal nonpolynomial representation. 


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Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

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

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