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 Subsubsection 4.1.3.5: Ellipsoidal Fiber Distribution Up Subsection 4.1.3: Unconstrained Materials Subsubsection 4.1.3.7: Ellipsoidal Fiber Distribution with Donnan Equilibrium Swelling 

4.1.3.6 Ellipsoidal Fiber Distribution Neo-Hookean

The material type for a Neo-Hookean material with an ellipsoidal continuous fiber distribution is “EFD neo-Hookean”. The following material parameters need to be defined:
<E> Young's modulus [P]
<v> Poisson's ratio [ ]
<beta> parameters [ ]
<ksi> parameters [P]
The Cauchy stress for this material is given by, Here, is the stress from the Neo-Hookean basis (Section 4.1.3.16↓), and is the stress contribution from the fibers (Section 4.1.3.5↑).
Example:
<material id="1" type="EFD neo-Hookean">
  <E>1</E>
  <v>0.3</v>
  <beta>4.5,4.5,4.5</beta>
  <ksi>1,1,1</ksi>
  <mat_axis type="local">0,0,0</mat_axis>
</material>


 Subsubsection 4.1.3.5: Ellipsoidal Fiber Distribution Up Subsection 4.1.3: Unconstrained Materials Subsubsection 4.1.3.7: Ellipsoidal Fiber Distribution with Donnan Equilibrium Swelling