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 T _d or O _h . 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. This revised version was published online in August 2006 with corrections to the Cover Date.