Analytical expressions for anisotropic tensor dimension

Nicolas Auffray (1)

1 ONERA - The French Aerospace Lab [Châtillon]

The vector space dimension of a linear behavior operator, such as the elasticity tensor, depends on the symmetry group of the material it is defined on. This Note aims at introducing an easy and analytical way to calculate this dimension knowing the material symmetry group. These general results will be illustrated in the case of classical and strain-gradient elasticity.

Mots clés: Continuum mechanics; Anisotropic materials; Tensors; Generalized elasticity

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

Nicolas Auffray. Analytical expressions for anisotropic tensor dimension. Comptes Rendus Mécanique, 2010, 338 (5), pp.260-265. ⟨10.1016/j.crme.2010.04.003⟩. ⟨hal-00486670⟩