Link Search Menu Expand Document
Converted document
 Subsubsection 4.1.3.2: Cell Growth Up Subsection 4.1.3: Unconstrained Materials Subsubsection 4.1.3.4: Donnan Equilibrium Swelling 

4.1.3.3 Cubic CLE

The material type for a conewise linear elastic (CLE) material with cubic symmetry is cubic CLE. The following parameters must be defined:
<lp1> Tensile diagonal first Lamé coefficient [P]
<lm1> Compressive diagonal first Lamé coefficient [P]
<l2> Off-diagonal first Lamé coefficient [P]
<mu> Second Lamé coefficient [P]
This bimodular elastic material is specialized from the orthotropic conewise linear elastic material described by Curnier et al. [25], to the case of cubic symmetry. It is derived from the following hyperelastic strain-energy function: where Here, is the Lagrangian strain tensor and , where ( ) are orthonormal vectors aligned with the material axes. This material response was originally formulated for infinitesimal strain analyses; its behavior under finite strains may not be physically realistic.
Example:
<material id="1" type="cubic CLE">
  <density>1</density>
  <lp1>13.01</lp1>
  <lm1>0.49</lm1>
  <l2>0.66</l2>
  <mu>0.16</mu>
</material>


 Subsubsection 4.1.3.2: Cell Growth Up Subsection 4.1.3: Unconstrained Materials Subsubsection 4.1.3.4: Donnan Equilibrium Swelling