OOF2: The Manual

Mechanical:Elasticity:Anisotropic:Hexagonal
	6.4.1. Material Properties

Name

Mechanical:Elasticity:Anisotropic:Hexagonal — Hexagonal linear elasticity.

Details

Property Category: Elasticity
Parameters:

cijkl

Type: A HexagonalRank4TensorCij object.
Fields: Displacement
Fluxes: Stress

Discussion

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

$\sigma_{ij} = C_{ijkl}\epsilon_{kl}$

(6.5)

where $\sigma_{ij}$ is the Stress, $C_{ijkl}$ is given by the modulus cijkl, and $\epsilon$ is the linear geometric strain,

$\epsilon_{ij} = \frac12\left(\frac{\partial u_i}{\partial x_j} + \frac{\partial u_j}{\partial x_i}\right).$

(6.6)

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.


Mechanical:Elasticity:Anisotropic:Cubic		Mechanical:Elasticity:Anisotropic:Tetragonal