Difference between revisions of "Comparison of Neo-Hookean Materials"

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# [[Clamped Neo-Hookean Material]]
# [[Clamped Neo-Hookean Material]]


The first is always a neo-Hookean material. The second has three properties for bulk modulus (K) and two shear modulus (G<sub>1</sub> and G<sub>2</sub>). Is can be considered as neo-Hooken that reduce to small strain material with same bulk modulus and shear modulus G = G<sub>1</sub>+ G<sub>2</sub>. The third allows plastic deformation by limiting the amount of elongation in tension or compressure. By turning off the clamping, the [[Clamped Neo-Hookean Material|clamped neo-Hookean material]] represents a
The first is always a neo-Hookean material. The second has three properties for bulk modulus (K) and two shear modulus (G<sub>1</sub> and G<sub>2</sub>). Is can be considered as neo-Hooken that reduce to small strain material with same bulk modulus and shear modulus G = G<sub>1</sub>+ G<sub>2</sub>. The third allows plastic deformation by limiting the amount of elongation in tension or compressure. By turning off the clamping, the [[Clamped Neo-Hookean Material|clamped neo-Hookean material]] represents a modified corotated elasticity law.


Two other neo-Hookean materials are a [[Neo-Hookean Material|neo-Hookean material]] and a [[Clamped Neo-Hookean Material|clamped neo-Hookean material]] with <tt>CritTens</tt> less than zero. This material gives a third neo-Hookean formation with slightly different stresses.
== Elastic Energy Functions ==


[[Material Models|MPM Material]]
The elastic energy functions for these three material compared are:
 
# [[Neo-Hookean Material]]
# [[Mooney Material]]
# [[Clamped Neo-Hookean Material]]

Revision as of 14:37, 16 November 2017

Introduction

The definition of an isotropic, neo-Hookean is an elastic material that depends ot two elastic constants and in the limit of small deformations is identical to a small-strain, linear-elastic, Hookean material. The currently available MPM Materials that a neo-Hookean material options are:

  1. Neo-Hookean Material
  2. Mooney Material
  3. Clamped Neo-Hookean Material

The first is always a neo-Hookean material. The second has three properties for bulk modulus (K) and two shear modulus (G1 and G2). Is can be considered as neo-Hooken that reduce to small strain material with same bulk modulus and shear modulus G = G1+ G2. The third allows plastic deformation by limiting the amount of elongation in tension or compressure. By turning off the clamping, the clamped neo-Hookean material represents a modified corotated elasticity law.

Elastic Energy Functions

The elastic energy functions for these three material compared are:

  1. Neo-Hookean Material
  2. Mooney Material
  3. Clamped Neo-Hookean Material