<ISOTROPIC_HYPERELASTICITY> abaqus_neo_hookean

Description

This model implements the simplest physically based hyperelastic behavior [M14], the Neo-Hookean model, including an additional coefficient for compressibility treatment in the same way as ABAQUS - Simulia\(^{TM}\) . The coefficients for the hyperelastic law are declared under **isotropic_hyperelasticity abaqus_neo_hookean.

Hyperelastic behavior here defines the strain energy density with the following form:

(425)\[\begin{aligned} W(I_1,I_3)~=~&{\tt C10} (I_1 - 1) + \dfrac{1}{{\tt D1}}(J-1)^2 \end{aligned}\]

with \(I_1\) and \(I_3 = J^2\) the first and third invariants of the Green-Lagrange strain tensor. mu\(=\)C10 and D are the two material coefficients. K0 represents the compressibility modulus, while C10 is related with material Shear modulus.

This model is in good agreement with tensile, simple shear and biaxial tests for deformation lower than 50%.

Syntax

**isotropic_hyperelasticity abaqus_neo_hookean **model_coef \(~\,~\,\) C10 <COEFFICIENT> \(~\,~\,\) D1 <COEFFICIENT>

Example

The following is a simple example of the hyperelastic Neo_hookean model ^{1 1}The model parameters have been taken from [M14]:

***behavior hyper_elastic
**isotropic_hyperelasticity abaqus_neo_hookean
**model_coef
C10             0.2
D1              0.0001
***return