OOF2: The Manual
| Mechanical:Elasticity:LargeStrain:Anisotropic:Triclinic | ||
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6.4.1. Material Properties |  |
Name
Mechanical:Elasticity:LargeStrain:Anisotropic:Triclinic — Triclinic large-strain elasticity.
Details
- Property Category: Elasticity
-
Parameters:
cijkl- Type: A
TriclinicRank4TensorCijobject.
-
Fields:
Displacement -
Fluxes:
Stress
Discussion
The anisotropic large strain elasticity Properties specify that the
Stress depends
nonlinearly on the gradients of the Displacement, 
:
![\[ \sigma_{ij} = C_{ijkl}\epsilon_{kl} \]](equations/6.4.1-eq-35.gif)
where 
is the Stress, 
is the
modulus cijkl, and
![\[ \epsilon_{ij} = \frac12\left(
\frac{\partial u_i}{\partial x_j}
+ \frac{\partial u_j}{\partial x_i}
+ \frac{\partial u_k}{\partial x_i}\frac{\partial u_k}{\partial x_j}
\right). \]](equations/6.4.1-eq-36.gif)
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.
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| Mechanical:Elasticity:LargeStrain:Anisotropic:Monoclinic |  |
Mechanical:StressFreeStrain:Isotropic |