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.