2.2.8 Nonlinear large-strain viscoelasticity with hyperelasticity

Product: Abaqus/Standard  Abaqus/Explicit  

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 the load is gradually increased until it reaches the prescribed value. In the second step 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 or four networks, including a purely elastic network. The strain-hardening power law, the hyperbolic-sine, and the Bergstrom-Boyce creep models are used to model the viscoelastic behavior. Creep model coefficients are shown in Table 2.2.8–1, Table 2.2.8–2 and Table 2.2.8–3. Several different hyperelastic materials are tested, as described in Table 2.2.8–4.

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 Bergstrom-Boyce creep model coefficients.

 Coefficient for model 1Coefficients for model 2Coefficients for model 3
2.5×10–57.15×10–52.887
4.01.04.0
–1.00.5–1.0
0.010.010.01

Table 2.2.8–4 Hyperelastic materials.

MaterialCoefficients for material 1Coefficients for material 2
Arruda-Boyce=20.0
=7.0
=0.0
=20.0
=7.0
=0.1
neo-Hookean=10
=0.1
=10
=0.01
Ogden (N=2)=16.0
=2.0
=4.0
=–2.0
=0.0
=0.0
=16.0
=2.0
=4.0
=–2.0
=0.1
=0.0
Van der Waals=20.0
=10.0
=0.1
=0.02
=0.0
=20.0
=10.0
=0.1
=0.02
=0.1

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_ab_bb_n2.inp

Uniaxial creep test, C3D8H element, Arruda-Boyce hyperelastic material, and two viscoelastic networks: strain-hardening power law model and Bergstrom-Boyce model.

viscnet_c3d8h_ab_bb_n2_user.inp

Uniaxial creep test, C3D8H element, Arruda-Boyce hyperelastic material, and two viscoelastic networks: strain-hardening power law model and Bergstrom-Boyce model defined via user subroutine UCREEPNETWORK.

viscnet_c3d8h_ab_bb_n3.inp

Uniaxial creep test, C3D8H element, Arruda-Boyce hyperelastic material, and three viscoelastic networks: strain-hardening power law model and two Bergstrom-Boyce models.

viscnet_c3d8h_ab_bb_n3_user.inp

Uniaxial creep test, C3D8H element, Arruda-Boyce hyperelastic material, and three viscoelastic networks: strain-hardening power law model and two Bergstrom-Boyce models defined via user subroutine UCREEPNETWORK.

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_cax4h_ogden_bb_n2.inp

Uniaxial creep test, CAX4H element, Ogden hyperelastic material, and two viscoelastic networks: strain-hardening power law model and Bergstrom-Boyce model.

viscnet_cax4rh_vanwaals_n2.inp

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

viscnet_cax4h_vanwaals_bb_n2.inp

Uniaxial creep test, CAX4H element, Van der Waals hyperelastic material, and two viscoelastic networks: strain-hardening power law model and Bergstrom-Boyce model.

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.

viscnet_cpe4_nh_bb_n2.inp

Uniaxial creep test, CPE4 element, neo-Hookean hyperelastic material, and two viscoelastic networks: strain-hardening power law model and Bergstrom-Boyce model.

x_viscnet_c3d8_nh_n2.inp

Explicit dynamic analysis, uniaxial creep test, C3D8 element and neo-Hookean material.

x_viscnet_c3d8_ab_n2.inp

Explicit dynamic analysis, uniaxial creep test, C3D8 element and Arruda-Boyce material.

x_viscnet_c3d8_ogden_n2.inp

Explicit dynamic analysis, uniaxial creep test, C3D8 element and Ogden material.

x_viscnet_c3d8_vanwaals_n2.inp

Explicit dynamic analysis, uniaxial creep test, C3D8 element and Van der Waals material.

x_viscnet_c3d8r_nh_n2.inp

Explicit dynamic analysis, uniaxial creep test, C3D8R element and neo-Hookean material.

x_viscnet_c3d8r_ab_n2.inp

Explicit dynamic analysis, uniaxial creep test, C3D8R element and Arruda-Boyce material.

x_viscnet_c3d8r_ogden_n2.inp

Explicit dynamic analysis, uniaxial creep test, C3D8R element and Ogden material.

x_viscnet_c3d8r_vanwaals_n2.inp

Explicit dynamic analysis, uniaxial creep test, C3D8R element and Van der Waals material.

x_viscnet_c3d8r_nh_n1_bb.inp

Explicit dynamic analysis, uniaxial creep test, C3D8R element, neo-Hookean hyperelastic material, and one Bergstron-Boyce viscoelastic network.

x_viscnet_cax4r_nh_n2.inp

Explicit dynamic analysis, uniaxial creep test, CAX4R element and neo-Hookean material.

x_viscnet_cax4r_ab_n2.inp

Explicit dynamic analysis, uniaxial creep test, CAX4R element and Arruda-Boyce material.

x_viscnet_cax4r_ogden_n2.inp

Explicit dynamic analysis, uniaxial creep test, CAX4R element and Ogden material.

x_viscnet_cax4r_vanwaals_n2.inp

Explicit dynamic analysis, uniaxial creep test, CAX4R element and Van der Waals material.

x_viscnet_cpe4r_nh_n2.inp

Explicit dynamic analysis, uniaxial creep test, CPE4R element and neo-Hookean material.

x_viscnet_cpe4r_ab_n2.inp

Explicit dynamic analysis, uniaxial creep test, CPE4R element and Arruda-Boyce material.

x_viscnet_cpe4r_ogden_n2.inp

Explicit dynamic analysis, uniaxial creep test, CPE4R element and Ogden material.

x_viscnet_cpe4r_vanwaals_n2.inp

Explicit dynamic analysis, uniaxial creep test, CPE4R element and Van der Waals material.