Plane anisotropic rari-constant materials

Paolo Vannucci (1) , Boris Desmorat (2)

1 LMV - Laboratoire de Mathématiques de Versailles
2 DALEMBERT - Institut Jean Le Rond d'Alembert

We consider here the existence of rari-constant anisotropic layers, and show that actually there are two distinct classes of such materials, mutually exclusive. Also, we show that the correct condition for establishing that a material is of the rari-constant type is that the number of independent linear tensor invariants of the elastic tensors must reduce to one. We characterize these materials and show that they can be designed using some basic rules of homogenization.

Mots clés: rari-constant materials; anisotropy; plane elasticity

Domaines: Sciences de l'ingénieur [physics]

Paolo Vannucci, Boris Desmorat. Plane anisotropic rari-constant materials. 2015. ⟨hal-01167906⟩