OOF2: The Manual

Mechanical:Elasticity:Isotropic
	6.4.1. Material Properties

Name

Mechanical:Elasticity:Isotropic — Isotropic linear elasticity.

Details

Property Category: Elasticity
Parameters:

cijkl

Type: An object of the IsotropicRank4Tensor class.
Fields: Displacement
Fluxes: Stress

Description

The isotropic elasticity Property specifies that the Stress depends linearly and isotropically on the gradients of the Displacement, $u$ :

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

(6.1)

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

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

(6.2)

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.


Color		Mechanical:Elasticity:Anisotropic:Cubic

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