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A New Representation Theorem for Elastic Constitutive Equations of Cubic Crystals

Author: Xiao H.  

Publisher: Springer Publishing Company

ISSN: 0374-3535

Source: Journal of Elasticity, Vol.53, Iss.1, 1998-01, pp. : 37-45

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Abstract

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.