OOF2: The Manual

Name

Mechanical:Elasticity:Anisotropic:TrigonalA — Trigonal-A linear elasticity.

Details

Description

The anisotropic elasticity Properties specify that the Stress depends linearly on the gradients of the Displacement, u :

σij=Cijklϵkl
(6.9)

where σij is the Stress, Cijkl is given by the modulus cijkl, and ϵ is the linear geometric strain,

ϵij=12(uixj+ujxi).
(6.10)

This form of the strain is not invariant under rigid rotations and is inappropriate for problems with large strains, which should use large strain elastic properties instead.

The crystal symmetry of the material is reflected in the symmetry of the modulus, cijkl. Materials containing an anisotropic elastic Property must also contain an orientation Property.

See Also

Section 2.3.1