OOF2: The Manual

Mechanical:StressFreeStrain:Anisotropic:Cubic
	6.4.1. Material Properties

Name

Mechanical:StressFreeStrain:Anisotropic:Cubic — Cubic stress-free strain

Details

Property Category: StressFreeStrain
Parameters:

epsilon0

Stress-free strain tensor Type: A CubicRank2Tensor object.
Fluxes: Stress

Discussion

An anisotropic stress-free strain Property makes an additive contribution of

$-C_{ijkl} \epsilon^0_{kl}$

(6.39)

to the Stress, where $C_{ijkl}$ is the Material's elastic modulus, and $\epsilon^0$ is a symmetric second rank tensor given by the epsilon0 parameter.

If the only contributions to the Stress are linear elasticity and stress-free strain, then the full Stress is

$\sigma_{ij} = C_{ijkl}\left(\epsilon_{kl} - \epsilon^0_{kl}\right)$

(6.40)

so $\epsilon^0$ is the strain at which the Stress vanishes.

The crystal symmetry of the material is reflected by the symmetry of the strain, epsilon0. The symmetry of the stress-free strain should probably be compatible with the symmetric of the elasticity, although OOF2 does not enforce this restriction. Materials containing an anisotropic stress-free strain Property must also contain an orientation property.


Mechanical:StressFreeStrain:Isotropic		Mechanical:StressFreeStrain:Anisotropic:Hexagonal