EFD neo-Hookean

Module: solid

Category: material

Type string: "EFD neo-Hookean"

Parameters

Name	Description	Default	Units
density	density	1	[M/L^3]
E	E	0	[P]
v	v	0	[]
beta	beta		[]
ksi	ksi		[P]

Description

The material type for a Neo-Hookean material with an ellipsoidal continuous fiber distribution is EFD neo-Hookean.

The Cauchy stress for this material is given by,

\[ \boldsymbol{\sigma}=\boldsymbol{\sigma}_{NH}+\boldsymbol{\sigma}_{f}. \]

Here, \(\boldsymbol{\sigma}_{NH}\) is the stress from the Neo-Hookean basis (see neo-Hookean), and \(\boldsymbol{\sigma}_{f}\) is the stress contribution from the fibers (see  Ellipsoidal-Fiber-Distribution).

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>