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Subsubsection 4.1.3.8: Fung Orthotropic Compressible Up Subsection 4.1.3: Unconstrained Materials Subsubsection 4.1.3.10: Holzapfel-Gasser-Ogden Unconstrained

#### 4.1.3.9 Holmes-Mow

The material type for the Holmes-Mow material [32] is Holmes-Mow. This isotropic hyperelastic material has been used to represent the solid matrix of articular cartilage [32, 6] and intervertebral disc [35]. The following material parameters must be defined:
 Young's modulus [P] Poisson's ratio [ ] Exponential stiffening coefficient [ ]
The coupled hyperelastic strain-energy function for this material is given by [32]: where and are the first and second invariants of the right Cauchy-Green tensor and is the jacobian of the deformation gradient. Furthermore, and and are the Lamé parameters which are related to the more familiar Young's modulus and Poisson's ratio in the usual manner: Example:
<material id="3" type="Holmes-Mow">
<E>1</E>
<v>0.35</v>
<beta>0.25</beta>
</material>


Subsubsection 4.1.3.8: Fung Orthotropic Compressible Up Subsection 4.1.3: Unconstrained Materials Subsubsection 4.1.3.10: Holzapfel-Gasser-Ogden Unconstrained