Arruda-Boyce

The Arruda-Boyce material model is described in terms of the strain energy potential, W, as follows:

where

is the initial shear modulus.

is the limiting network stretch.

is the incompressibility parameter.

where K is the initial bulk modulus.

is the first deviatoric strain invariant defined as follows:

where the deviatoric stretches are given as follows:

J is the total volumetric ratio.

is the elastic volume ratio given by

where .

where is the coefficient of thermal expansion.

T is the model temperature.

T0 is the reference temperature.

When you select Arruda-Boyce material model to define the hyperelastic material, you must specify values for (mu), (lambda_m), and . The value of lambda_m must be greater than 1.

For materials that are nearly incompressible, Creo Simulate uses incompressibility conditions. If the specified value of D is less than, Creo Simulate uses following value of D during analysis:

D =.

where G is the initial shear modulus.

Creo Simulate calculates these coefficients when you select Arruda-Boyce material model on the Hyperelastic Material Definition dialog box. If you provide insufficient stress-strain data in the test area, Creo Simulate can not generate best fit curve for Arruda-Boyce material model and can not calculate the coefficients.

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