A NEW DESCRIPTION OF THE TENSORS OF ELASTICITY BASED UPON IRREDUCIBLEREPRESENTATIONS

This paper gives the irreducible decomposition of the representations of the spatial group of rotations realized by the tensors of elasticit y. From the tensor components are defined some complex quantities span ning the irreducible subspaces. The law of transformation of those qua ntities under spatial rotations is explicitly given, as well as the la w of elasticity with this formalism, in the most important material sy mmetry cases.