A NEW DESCRIPTION OF THE TENSORS OF ELASTICITY BASED UPON IRREDUCIBLE REPRESENTATIONS

This paper gives the irreducible decomposition of the representations of the spatial group of rotations realized by the tensors of elasticity. From the tensor components are defined some complex quantities spanning the irreducible subspaces. The law of transformation of those quantities under spatial rotations is explicitly given, as well as the law of elasticity with this formalism, in the most important material symmetry cases.