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Mechanical:Elasticity:LargeStrain:Anisotropic:Orthorhombic
	6.4.1. Material Properties

Name

Mechanical:Elasticity:LargeStrain:Anisotropic:Orthorhombic — Orthorhombic large-strain elasticity.

Details

Property Category: Elasticity
Parameters:

cijkl

Type: A OrthorhombicRank4TensorCij object.
Fields: Displacement
Fluxes: Stress

Description

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

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

(6.31)

where $\sigma_{ij}$ is the Stress, $C_{ijkl}$ is the modulus cijkl, and

\epsilon_{ij}=\frac{1}{2}\left(\frac{\partial u_{i}}{\partial x_{j}}+\frac{% \partial u_{j}}{\partial x_{i}}+\frac{\partial u_{k}}{\partial x_{i}}\frac{% \partial u_{k}}{\partial x_{j}}\right).

(6.32)

This form of the geometric strain is invariant under rigid rotations, unlike its linear variant, Eq. (6.2).

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:LargeStrain:Anisotropic:TrigonalB		Mechanical:Elasticity:LargeStrain:Anisotropic:Monoclinic

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