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Subsubsection 4.1.3.12: Orthotropic Elastic Up Subsection 4.1.3: Unconstrained Materials Subsubsection 4.1.3.14: Osmotic Pressure from Virial Expansion

#### 4.1.3.13 Orthotropic CLE

The material type for a conewise linear elastic (CLE) material with orthtropic symmetry is orthotropic CLE. The following parameters must be defined:
 Tensile diagonal first Lamé coefficient along direction 1 [P] Tensile diagonal first Lamé coefficient along direction 2 [P] Tensile diagonal first Lamé coefficient along direction 3 [P] Compressive diagonal first Lamé coefficient along direction 1 [P] Compressive diagonal first Lamé coefficient along direction 2 [P] Compressive diagonal first Lamé coefficient along direction 3 [P] Off-diagonal first Lamé coefficient in 1-2 plane [P] Off-diagonal first Lamé coefficient in 2-3 plane [P] Off-diagonal first Lamé coefficient in 3-1 plane [P] Second Lamé coefficient along direction 1 [P] Second Lamé coefficient along direction 2 [P] Second Lamé coefficient along direction 3 [P]
This bimodular elastic material is the orthotropic conewise linear elastic material described by Curnier et al. [25]. It is derived from the following hyperelastic strain-energy function: where and 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=" orthotropic CLE">
<density>1</density>
<lp11>13.01</lp11>
<lp22>13.01</lp22>
<lp33>13.01</lp33>
<lm11>0.49</lm11>
<lm22>0.49</lm22>
<lm33>0.49</lm33>
<l12>0.66</l12>
<l23>0.66</l23>
<l31>0.66</l31>
<mu1>0.16</mu1>
<mu2>0.16</mu2>
<mu3>0.16</mu3>
</material>


Subsubsection 4.1.3.12: Orthotropic Elastic Up Subsection 4.1.3: Unconstrained Materials Subsubsection 4.1.3.14: Osmotic Pressure from Virial Expansion