Abaqus Verification Manual  


2.2.8 Nonlinear large-strain viscoelasticity with hyperelasticity

Product: Abaqus/Standard  

Elements tested

C3D8    C3D8H    C3D8R    C3D8RH   

CAX4    CAX4H    CAX4R    CAX4RH   

CPE4    CPE4H    CPE4R    CPE4RH   

Feature tested

Nonlinear viscoelastic material model.

Problem description

In each input file a single element is subjected to a uniaxial load. The input files consist of two steps. In the first step, which is static, the material is subjected to a uniaxial load without activating the creep laws. In the second step the creep laws are active in both networks, and the value of the load is kept constant for a specified time. These tests verify the correctness of the creep behavior with different element types.

Material:

The nonlinear viscoelastic material consists of three networks, including a purely elastic network. The strain-hardening power law creep model is used in one of the viscoelastic networks, and the hyperbolic-sine creep model is used in the other viscoelastic network. Creep model coefficients are shown in Table 2.2.8–1 and Table 2.2.8–2. Several different hyperelastic materials are tested, as described in Table 2.2.8–3.

Table 2.2.8–1 Strain-hardening power law creep model coefficients.

=10–5
=1.0
=–0.5

Table 2.2.8–2 Hyperbolic-sine creep model coefficients.

=2.5×10–5
=0.15
=2.0

Table 2.2.8–3 Hyperelastic materials.

MaterialCoefficients
Arruda-Boyce=20.0
=7.0
=0.0
neo-Hookean=10
=0.1
Ogden (N=2)=16.0
=2.0
=4.0
=–2.0
=0.0
=0.0
Van der Waals=20.0
=10.0
=0.1
=0.02
=0.0

Results and discussion

The results agree well with exact analytical or approximate solutions.

Input files

viscnet_c3d8_nh_n2.inp

Uniaxial creep test, C3D8 element and neo-Hookean material.

viscnet_c3d8h_ab_n2.inp

Uniaxial creep test, C3D8H element and Arruda-Boyce material.

viscnet_c3d8h_ogden_n2.inp

Uniaxial creep test, C3D8H element and Ogden material.

viscnet_c3d8h_vanwaals_n2.inp

Uniaxial creep test, C3D8H element and Van der Waals material.

viscnet_c3d8r_nh_n2.inp

Uniaxial creep test, C3D8R element and neo-Hookean material.

viscnet_c3d8rh_ab_n2.inp

Uniaxial creep test, C3D8RH element and Arruda-Boyce material.

viscnet_c3d8rh_ogden_n2.inp

Uniaxial creep test, C3D8RH element and Ogden material.

viscnet_c3d8rh_vanwaals_n2.inp

Uniaxial creep test, C3D8RH element and Van der Waals material.

viscnet_cax4_nh_n2.inp

Uniaxial creep test, CAX4 element and neo-Hookean material.

viscnet_cax4h_ab_n2.inp

Uniaxial creep test, CAX4H element and Arruda-Boyce material.

viscnet_cax4h_ogden_n2.inp

Uniaxial creep test, CAX4H element and Ogden material.

viscnet_cax4h_vanwaals_n2.inp

Uniaxial creep test, CAX4H element and Van der Waals material.

viscnet_cax4r_nh_n2.inp

Uniaxial creep test, CAX4R element and neo-Hookean material.

viscnet_cax4rh_ab_n2.inp

Uniaxial creep test, CAX4RH element and Arruda-Boyce material.

viscnet_cax4rh_ogden_n2.inp

Uniaxial creep test, CAX4RH element and Ogden material.

viscnet_cax4rh_vanwaals_n2.inp

Uniaxial creep test, CAX4RH element and Van der Waals material.

viscnet_cpe4_nh_n2.inp

Uniaxial creep test, CPE4 element and neo-Hookean material.

viscnet_cpe4h_ab_n2.inp

Uniaxial creep test, CPE4H element and Arruda-Boyce material.

viscnet_cpe4h_ogden_n2.inp

Uniaxial creep test, CPE4H element and Ogden material.

viscnet_cpe4h_vanwaals_n2.inp

Uniaxial creep test, CPE4H element and Van der Waals material.

viscnet_cpe4r_nh_n2.inp

Uniaxial creep test, CPE4R element and neo-Hookean material.

viscnet_cpe4rh_ab_n2.inp

Uniaxial creep test, CPE4RH element and Arruda-Boyce material.

viscnet_cpe4rh_ogden_n2.inp

Uniaxial creep test, CPE4RH element and Ogden material.

viscnet_cpe4rh_vanwaals_n2.inp

Uniaxial creep test, CPE4RH element and Van der Waals material.