Transferring results with hyperelasticity

Elements tested

CPS4R
CPS3
CPE4R
CPE3
CAX4R
CAX3
C3D8R
C3D4
C3D6

CPS6M
CPE6M
CAX6M
C3D10M

M3D4R
M3D3
S3R
S4R
SAX1

Problem description

The verification tests in this section consist of one-element models that are subjected to monotonically increasing tensile loads in a sequential import analysis. A slightly compressible hyperelastic material is used in the analyses. The sequence of tests involves transferring results from Abaqus/Standard to Abaqus/Explicit and then back into Abaqus/Standard.

Verification tests are also included for some first-order reduced-integration elements with enhanced hourglass control.

Four types of hyperelastic strain energy potentials are considered: the polynomial, Ogden, Arruda-Boyce, and van der Waals forms. For the tests using the polynomial strain energy potential, $N = 1$ and the material properties are


$C_{10} = $ 80
$C_{01} = $ 20
$D_{1} = $ 0.001

For the Ogden strain energy potential, $N = $ 2 with


$μ_{1} = $ 160
$α_{1} = $ 2
$μ_{2} = $ 40
$α_{2} = $ −2
$D_{1} = $ 0.001
$D_{2} = $ 0.00025

For the Arruda-Boyce strain energy potential, the material properties are


$μ = $ 200
$λ_{m} = $ 5
$D = $ 0.001

For the van der Waals strain energy potential, the material properties are


$μ = $ 200
$λ_{m} = $ 10
$a = $ 0.1
$β = $ 0.0
$D = $ 0.001

Results and discussion

The results demonstrate that the hyperelasticity material model is transferred successfully between Abaqus/Explicit and Abaqus/Standard.

Input files

CPS4R element tests:

sx_s_cps4r_hyper.inp: First Abaqus/Standard analysis.
sx_x_cps4r_hyper.inp: Abaqus/Explicit analysis.
xs_s_cps4r_hyper.inp: Second Abaqus/Standard analysis.

CPS3 element tests:

sx_s_cps3_hyper.inp: First Abaqus/Standard analysis.
sx_x_cps3_hyper.inp: Abaqus/Explicit analysis.
xs_s_cps3_hyper.inp: Second Abaqus/Standard analysis.

CPE4R element tests:

sx_s_cpe4r_hyper.inp: First Abaqus/Standard analysis.
sx_x_cpe4r_hyper.inp: Abaqus/Explicit analysis.
xs_s_cpe4r_hyper.inp: Second Abaqus/Standard analysis.

CPE3 element tests:

sx_s_cpe3_hyper.inp: First Abaqus/Standard analysis.
sx_x_cpe3_hyper.inp: Abaqus/Explicit analysis.
xs_s_cpe3_hyper.inp: Second Abaqus/Standard analysis.

CAX4R element tests:

sx_s_cax4r_hyper.inp: First Abaqus/Standard analysis.
sx_s_cax4r_hyper_enhg.inp: First Abaqus/Standard analysis with enhanced hourglass control.
sx_x_cax4r_hyper.inp: Abaqus/Explicit analysis.
sx_x_cax4r_hyper_enhg.inp: Abaqus/Explicit analysis with enhanced hourglass control.
xs_s_cax4r_hyper.inp: Second Abaqus/Standard analysis.
xs_s_cax4r_hyper_enhg.inp: Second Abaqus/Standard analysis with enhanced hourglass control.

CAX3 element tests:

sx_s_cax3_hyper.inp: First Abaqus/Standard analysis.
sx_x_cax3_hyper.inp: Abaqus/Explicit analysis.
xs_s_cax3_hyper.inp: Second Abaqus/Standard analysis.

C3D8R element tests:

sx_s_c3d8r_hyper.inp: First Abaqus/Standard analysis.
sx_x_c3d8r_hyper.inp: Abaqus/Explicit analysis.
xs_s_c3d8r_hyper.inp: Second Abaqus/Standard analysis.

C3D4 element tests:

sx_s_c3d4_hyper.inp: First Abaqus/Standard analysis.
sx_x_c3d4_hyper.inp: Abaqus/Explicit analysis.
xs_s_c3d4_hyper.inp: Second Abaqus/Standard analysis.

C3D6 element tests:

sx_s_c3d6_hyper.inp: First Abaqus/Standard analysis.
sx_x_c3d6_hyper.inp: Abaqus/Explicit analysis.
xs_s_c3d6_hyper.inp: Second Abaqus/Standard analysis.

CPS6M element tests:

sx_s_cps6m_hyper.inp: First Abaqus/Standard analysis.
sx_x_cps6m_hyper.inp: Abaqus/Explicit analysis.
xs_s_cps6m_hyper.inp: Second Abaqus/Standard analysis.

CPE6M element tests:

sx_s_cpe6m_hyper.inp: First Abaqus/Standard analysis.
sx_x_cpe6m_hyper.inp: Abaqus/Explicit analysis.
xs_s_cpe6m_hyper.inp: Second Abaqus/Standard analysis.

CAX6M element tests:

sx_s_cax6m_hyper.inp: First Abaqus/Standard analysis.
sx_x_cax6m_hyper.inp: Abaqus/Explicit analysis.
xs_s_cax6m_hyper.inp: Second Abaqus/Standard analysis.

C3D10M element tests:

sx_s_c3d10m_hyper.inp: First Abaqus/Standard analysis.
sx_x_c3d10m_hyper.inp: Abaqus/Explicit analysis.
xs_s_c3d10m_hyper.inp: Second Abaqus/Standard analysis.

M3D4R element tests:

sx_s_m3d4r_hyper.inp: First Abaqus/Standard analysis.
sx_x_m3d4r_hyper.inp: Abaqus/Explicit analysis.
xs_s_m3d4r_hyper.inp: Second Abaqus/Standard analysis.

M3D3 element tests:

sx_s_m3d3_hyper.inp: First Abaqus/Standard analysis.
sx_x_m3d3_hyper.inp: Abaqus/Explicit analysis.
xs_s_m3d3_hyper.inp: Second Abaqus/Standard analysis.

S3R element tests:

sx_s_s3r_hyper.inp: First Abaqus/Standard analysis.
sx_x_s3r_hyper.inp: Abaqus/Explicit analysis.
xs_s_s3r_hyper.inp: Second Abaqus/Standard analysis.

S4R element tests:

sx_s_s4r_hyper.inp: First Abaqus/Standard analysis.
sx_s_s4r_hyper_enhg.inp: First Abaqus/Standard analysis with enhanced hourglass control.
sx_x_s4r_hyper.inp: Abaqus/Explicit analysis.
sx_x_s4r_hyper_enhg.inp: Abaqus/Explicit analysis with enhanced hourglass control.
xs_s_s4r_hyper.inp: Second Abaqus/Standard analysis.
xs_s_s4r_hyper_enhg.inp: Second Abaqus/Standard analysis with enhanced hourglass control.

SAX1 element tests:

sx_s_sax1_hyper.inp: First Abaqus/Standard analysis.
sx_x_sax1_hyper.inp: Abaqus/Explicit analysis.
xs_s_sax1_hyper.inp: Second Abaqus/Standard analysis.