Recovering the normal form of an elasticity tensor

Sophie Abramian (1) , Boris Desmorat (2) , Rodrigue Desmorat (1) , Boris Kolev (1) , Marc Olive (1)

1 LMT - Laboratoire de Mécanique et Technologie
2 DALEMBERT - Institut Jean Le Rond d'Alembert

We propose an effective geometrical approach to recover the normal form of a given Elasticity tensor, once we know its symmetry class. In other words, we produce a rotation which brings an Elasticity tensor onto its normal form, given its components in any orthonormal frame, and this for any tensor of any symmetry class. Our methodology relies on the use of specific covariants and on the geometric characterization of each symmetry class using these covariants.

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

Sophie Abramian, Boris Desmorat, Rodrigue Desmorat, Boris Kolev, Marc Olive. Recovering the normal form of an elasticity tensor. 2019. ⟨hal-02410330v1⟩