OOF2: The Manual

Mechanical:Elasticity:LargeStrain:Isotropic
	6.4.1. Material Properties

Name

Mechanical:Elasticity:LargeStrain:Isotropic — Isotropic large-strain elasticity.

Details

Property Category: Elasticity
Parameters:

cijkl

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

Description

The isotropic large strain elasticity Property specifies that the Stress depends nonlinearly on the gradients of the Displacement, $u$ :

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

(6.19)

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

\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).

(6.20)

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


Mechanical:Elasticity:Anisotropic:Triclinic		Mechanical:Elasticity:LargeStrain:Anisotropic:Cubic

OOF2: The Manual

Name

Details

Description

See Also