OOF2: The Manual

Couplings:ThermalExpansion:Anisotropic:Trigonal
	6.4.1. Material Properties

Name

Couplings:ThermalExpansion:Anisotropic:Trigonal — Trigonal thermal expansion.

Details

Property Category: ThermalExpansion
Parameters:

alpha

Thermal expansion tensor. Type: A TrigonalRank2Tensor object.

T0

Temperature at which the thermal expansion vanishes. Type: A real number.
Fields: Temperature
Fluxes: Stress

Discussion

An anisotropic thermal expansion Property makes an additive contribution of

$-C_{ijkl} \alpha_{kl} (T-T_0)$

(6.75)

to the Stress, where $C_{ijkl}$ is the Material's elastic modulus, and $T$ is the local Temperature Field.

$\alpha_{kl}$ is the thermal expansion coefficient, which is a symmetric second rank tensor given by the parameter alpha.

$T_0$ is equal to the parameter T0. It is the temperature at which the thermal strain vanishes.

The crystal symmetry of the material is reflected by the symmetry of the thermal expansion coefficient, alpha. The symmetry of the coefficient should probably be compatible with the symmetric of the elasticity, although OOF2 does not enforce this restriction. Materials containing an anisotropic thermal expansion Property must also contain an orientation property.


Couplings:ThermalExpansion:Anisotropic:Hexagonal		Couplings:ThermalExpansion:Anisotropic:Tetragonal