ABAQUS Verification Manual  


2.2.1 Elastic materials

Product: ABAQUS/Standard  

I. Linear orthotropic elastic materials

Elements tested

C3D8    CPE4    CPS4   

Problem description

Material:

Engineering constantsStiffness coefficients
E11000.1000.
E21000.0.
E31000.1010.1
0.0.
0.101.01
0.11010.1
100.100.
100.100.
100.100.

Results and discussion

The results agree well with exact analytical or approximate solutions.

Input files

meloro3ltr.inp

*ELASTIC, TYPE=ORTHOTROPIC; C3D8 elements.

meloro2ltr.inp

*ELASTIC, TYPE=ORTHOTROPIC; CPS4 elements.

meleco3ltr.inp

*ELASTIC, TYPE=ENGINEERING CONSTANTS; CPE4 elements.

II. Linear anisotropic elastic material

Element tested

C3D8   

Problem description

Material:

Stiffness coefficients
2.24e11
4.79e5
1.23e11
4.21e5
4.74e5
1.21e11
1.e6
2.e6
3.e6
7.69e10
4.e6
5.e6
6.e6
7.e6
7.69e10
8.e6
9.e6
10.e6
11.e6
12.e6
9.e9

Results and discussion

The results agree well with exact analytical or approximate solutions.

Input file

melano3ltr.inp

*ELASTIC, TYPE=ANISOTROPIC; C3D8 elements.

III. Porous elasticity

Element tested

CAX8R   

Problem description

Material:

Logarithmic bulk modulus, = 1.0
Poisson's ratio, = 0.3

(The units are not important.)

Initial conditions:

Initial void ratio, = 1.08

Results and discussion

The results agree well with exact analytical or approximate solutions.

Input files

mpespo3ahc.inp

Hydrostatic compression, CAX8R elements.

mpespo3vlp.inp

Linear perturbation steps containing *LOAD CASE, hydrostatic compression, CAX8R elements.

IV. Hypoelasticity

Element tested

CPS4R   

Problem description

Material:

The following dependence of E on the second strain invariant is used:


E
637.50.4994.5420e–3
700.30.4991.6621e–2
765.70.4993.4418e–2
840.70.4995.6607e–2
917.40.4998.2201e–2

Results and discussion

The results agree well with exact analytical or approximate solutions.

Input file

mhooto2hut.inp

Nearly incompressible, uniaxial tension, CPS4R elements.

V. Hyperelasticity with polynomial strain energy function

Elements tested

C3D8RH    CAX8    CGAX8H    CPS4R   

Problem description

Material:

Polynomial coefficients (N=1): = 80., = 20.
Compressible case: = 0.001.
Test data (N=2): Treloar's experimental data.

(The units are not important.)

Results and discussion

The results agree well with exact analytical or approximate solutions.

Input files

Coefficient input

mhecoo3hut.inp

Incompressible, uniaxial tension, C3D8RH elements.

mhecoo3ibt.inp

Incompressible, biaxial tension, C3D8RH elements.

mhecoo3gsh.inp

Incompressible, planar tension, C3D8RH elements.

mhecoo3vlp.inp

Incompressible, uniaxial tension with static linear perturbation steps containing *LOAD CASE, C3D8RH elements.

mhecot3hut.inp

Incompressible, temperature-dependent, uniaxial tension, C3D8RH elements.

mhecdo3hut.inp

Compressible, uniaxial tension, C3D8RH elements.

mhecdo3ibt.inp

Compressible, biaxial tension, C3D8RH elements.

mhecdo3gsh.inp

Compressible, planar tension, C3D8RH elements.

mhecdo3ahc.inp

Compressible, volumetric compression, C3D8RH elements.

mhecoo2hut.inp

Incompressible, uniaxial tension, CPS4R elements.

mhecoo2ibt.inp

Incompressible, biaxial tension, CPS4R elements.

mhecoo2gsh.inp

Incompressible, planar tension, CPS4R elements.

mhecdo2hut.inp

Compressible, uniaxial tension, CPS4R elements.

mhecdo2ibt.inp

Compressible, biaxial tension, CPS4R elements.

mhecdo2gsh.inp

Compressible, planar tension, CPS4R elements.

mhecoo2spt.inp

Incompressible, pure torsion, CGAX8H elements.

mhecoo2eit.inp

Incompressible; extension, inflation, and torsion; CGAX8H elements.

mhecoo2eis.inp

Incompressible; extension, inflation, and shear; CAX8 elements.

Test data input

mhetdo3hut.inp

Compressible, uniaxial tension, C3D8RH elements.

mhetdo3ibt.inp

Compressible, biaxial tension, C3D8RH elements.

mhetdo3gsh.inp

Compressible, planar tension, C3D8RH elements.

mhetdo3ahc.inp

Compressible, volumetric compression, C3D8RH elements.

mhetdi3ahc.inp

Compressible, volumetric compression with initial stresses, C3D8RH elements.

VI. Hyperelasticity with reduced polynomial strain energy function

Elements tested

C3D8RH    CPS4R   

Problem description

Material:

Polynomial coefficients (N=1): = 100.
Compressible case: = 0.001.
Test data (N=6): Treloar's experimental data.

(The units are not important.)

Results and discussion

The results agree well with exact analytical or approximate solutions.

Input files

Coefficient input

mhrcoo3hut.inp

Incompressible, uniaxial tension, C3D8RH elements.

mhrcoo3ibt.inp

Incompressible, biaxial tension, C3D8RH elements.

mhrcoo3gsh.inp

Incompressible, planar tension, C3D8RH elements.

mhrcoo3vlp.inp

Incompressible, uniaxial tension with static linear perturbation steps containing *LOAD CASE, C3D8RH elements.

mhrcot3hut.inp

Incompressible, temperature-dependent, uniaxial tension, C3D8RH elements.

mhrcdo3hut.inp

Compressible, uniaxial tension, C3D8RH elements.

mhrcdo3ibt.inp

Compressible, biaxial tension, C3D8RH elements.

mhrcdo3gsh.inp

Compressible, planar tension, C3D8RH elements.

mhrcdo3ahc.inp

Compressible, volumetric compression, C3D8RH elements.

mhrcoo2hut.inp

Incompressible, uniaxial tension, CPS4R elements.

mhrcoo2ibt.inp

Incompressible, biaxial tension, CPS4R elements.

mhrcoo2gsh.inp

Incompressible, planar tension, CPS4R elements.

mhrcdo2hut.inp

Compressible, uniaxial tension, CPS4R elements.

mhrcdo2ibt.inp

Compressible, biaxial tension, CPS4R elements.

mhrcdo2gsh.inp

Compressible, blanar tension, CPS4R elements.

Test data input

mhrtdo3hut.inp

Compressible, uniaxial tension, C3D8RH elements.

mhrtdo3ibt.inp

Compressible, biaxial tension, C3D8RH elements.

mhrtdo3gsh.inp

Compressible, planar tension, C3D8RH elements.

mhrtdo3ahc.inp

Compressible, volumetric compression, C3D8RH elements.

VII. Hyperelasticity with neo-Hookean strain energy function

Elements tested

C3D8RH    CPS4R   

Problem description

Material:

Neo-Hookean coefficient: = 100.
Compressible case: = 0.001.
Test data: Treloar's experimental data.

(The units are not important.)

Results and discussion

The results agree well with exact analytical or approximate solutions.

Input files

Coefficient input

mhncoo3hut.inp

Incompressible, uniaxial tension, C3D8RH elements.

mhncoo3ibt.inp

Incompressible, biaxial tension, C3D8RH elements.

mhncoo3gsh.inp

Incompressible, planar tension, C3D8RH elements.

mhncoo3vlp.inp

Incompressible, uniaxial tension with static linear perturbation steps containing *LOAD CASE, C3D8RH elements.

mhncot3hut.inp

Incompressible, temperature-dependent, uniaxial tension, C3D8RH elements.

mhncdo3hut.inp

Compressible, uniaxial tension, C3D8RH elements.

mhncdo3ibt.inp

Compressible, biaxial tension, C3D8RH elements.

mhncdo3gsh.inp

Compressible, planar tension, C3D8RH elements.

mhncdo3ahc.inp

Compressible, volumetric compression, C3D8RH elements.

mhncoo2hut.inp

Incompressible, uniaxial tension, CPS4R elements.

mhncoo2ibt.inp

Incompressible, biaxial tension, CPS4R elements.

mhncoo2gsh.inp

Incompressible, planar tension, CPS4R elements.

mhncdo2hut.inp

Compressible, uniaxial tension, CPS4R elements.

mhncdo2ibt.inp

Compressible, biaxial tension, CPS4R elements.

mhncdo2gsh.inp

Compressible, planar tension, CPS4R elements.

Test data input

mhntdo3hut.inp

Compressible, uniaxial tension, C3D8RH elements.

mhntdo3ibt.inp

Compressible, biaxial tension, C3D8RH elements.

mhntdo3gsh.inp

Compressible, planar tension, C3D8RH elements.

mhntdo3ahc.inp

Compressible, volumetric compression, C3D8RH elements.

VIII. Hyperelasticity with Mooney-Rivlin strain energy function

Elements tested

C3D8RH    CPS4R   

Problem description

Material:

Mooney-Rivlin coefficients: = 80., = 20.
Compressible case: = 0.001.
Test data: Treloar's experimental data.

(The units are not important.)

Results and discussion

The results agree well with exact analytical or approximate solutions.

Input files

Coefficient input

mhmcoo3hut.inp

Incompressible, uniaxial tension, C3D8RH elements.

mhmcoo3ibt.inp

Incompressible, biaxial tension, C3D8RH elements.

mhmcoo3gsh.inp

Incompressible, planar tension, C3D8RH elements.

mhmcoo3vlp.inp

Incompressible, uniaxial tension with static linear perturbation steps containing *LOAD CASE, C3D8RH elements.

mhmcot3hut.inp

Incompressible, temperature-dependent, uniaxial tension, C3D8RH elements.

mhmcdo3hut.inp

Compressible, uniaxial tension, C3D8RH elements.

mhmcdo3ibt.inp

Compressible, biaxial tension, C3D8RH elements.

mhmcdo3gsh.inp

Compressible, planar tension, C3D8RH elements.

mhmcdo3ahc.inp

Compressible, volumetric compression, C3D8RH elements.

mhmcoo2hut.inp

Incompressible, uniaxial tension, CPS4R elements.

mhmcoo2ibt.inp

Incompressible, biaxial tension, CPS4R elements.

mhmcoo2gsh.inp

Incompressible, planar tension, CPS4R elements.

mhmcdo2hut.inp

Compressible, uniaxial tension, CPS4R elements.

mhmcdo2ibt.inp

Compressible, biaxial tension, CPS4R elements.

mhmcdo2gsh.inp

Compressible, planar tension, CPS4R elements.

Test data input

mhmtdo3hut.inp

Compressible, uniaxial tension, C3D8RH elements.

mhmtdo3ibt.inp

Compressible, biaxial tension, C3D8RH elements.

mhmtdo3gsh.inp

Compressible, planar tension, C3D8RH elements.

mhmtdo3ahc.inp

Compressible, volumetric compression, C3D8RH elements.

IX. Hyperelasticity with Yeoh strain energy function

Elements tested

C3D8RH    CPS4R   

Problem description

Material:

Yeoh coefficients: = 100., = –1., = 0.01.
Compressible case: = 0.001.
Test data: Treloar's experimental data.

(The units are not important.)

Results and discussion

The results agree well with exact analytical or approximate solutions.

Input files

Coefficient input

mhycoo3hut.inp

Incompressible, uniaxial tension, C3D8RH elements.

mhycoo3ibt.inp

Incompressible, biaxial tension, C3D8RH elements.

mhycoo3gsh.inp

Incompressible, planar tension, C3D8RH elements.

mhycoo3vlp.inp

Incompressible, uniaxial tension with static linear perturbation steps containing *LOAD CASE, C3D8RH elements.

mhycot3hut.inp

Incompressible, temperature-dependent, uniaxial tension, C3D8RH elements.

mhycdo3hut.inp

Compressible, uniaxial tension, C3D8RH elements.

mhycdo3ibt.inp

Compressible, biaxial tension, C3D8RH elements.

mhycdo3gsh.inp

Compressible, planar tension, C3D8RH elements.

mhycdo3ahc.inp

Compressible, volumetric compression, C3D8RH elements.

mhycoo2hut.inp

Incompressible, uniaxial tension, CPS4R elements.

mhycoo2ibt.inp

Incompressible, biaxial tension, CPS4R elements.

mhycoo2gsh.inp

Incompressible, planar tension, CPS4R elements.

mhycdo2hut.inp

Compressible, uniaxial tension, CPS4R elements.

mhycdo2ibt.inp

Compressible, biaxial tension, CPS4R elements.

mhycdo2gsh.inp

Compressible, planar tension, CPS4R elements.

Test data input

mhytdo3hut.inp

Compressible, uniaxial tension, C3D8RH elements.

mhytdo3ibt.inp

Compressible, biaxial tension, C3D8RH elements.

mhytdo3gsh.inp

Compressible, planar tension, C3D8RH elements.

mhytdo3ahc.inp

Compressible, volumetric compression, C3D8RH elements.

X. Hyperelasticity with Ogden strain energy function

Elements tested

C3D8RH    CAX8    CGAX8H    CPS4R   

Problem description

Material:

Ogden coefficients (N=2): = 160., = 2., = 40., = –2.
Compressible case: = 0.001.
Test data (N=2): Treloar's experimental data.

(The units are not important.)

Results and discussion

The results agree well with exact analytical or approximate solutions.

Input files

Coefficient input

mhgcoo3hut.inp

Incompressible, uniaxial tension, C3D8RH elements.

mhgcoo3ibt.inp

Incompressible, biaxial tension, C3D8RH elements.

mhgcoo3gsh.inp

Incompressible, planar tension, C3D8RH elements.

mhgcoo3vlp.inp

Incompressible, uniaxial tension with static linear perturbation steps containing *LOAD CASE, C3D8RH elements.

mhgcot3hut.inp

Incompressible, temperature-dependent, uniaxial tension, C3D8RH elements.

mhgcdo3hut.inp

Compressible, uniaxial tension, C3D8RH elements.

mhgcdo3ibt.inp

Compressible, biaxial tension, C3D8RH elements.

mhgcdo3gsh.inp

Compressible, planar tension, C3D8RH elements.

mhgcdo3ahc.inp

Compressible, volumetric compression, C3D8RH elements.

mhgcoo2hut.inp

Incompressible, uniaxial tension, CPS4R elements.

mhgcoo2ibt.inp

Incompressible, biaxial tension, CPS4R elements.

mhgcoo2gsh.inp

Incompressible, planar tension, CPS4R elements.

mhgcdo2hut.inp

Compressible, uniaxial tension, CPS4R elements.

mhgcdo2ibt.inp

Compressible, biaxial tension, CPS4R elements.

mhgcdo2gsh.inp

Compressible, planar tension, CPS4R elements.

mhgcoo2spt.inp

Incompressible, pure torsion, CGAX8H elements.

mhgcoo2eit.inp

Incompressible; extension, inflation, and torsion; CGAX8H elements.

mhgcoo2eis.inp

Incompressible; extension, inflation, and shear; CAX8 elements.

Test data input

mhgtdo3hut.inp

Compressible, uniaxial tension, C3D8RH elements.

mhgtdo3ibt.inp

Compressible, biaxial tension, C3D8RH elements.

mhgtdo3gsh.inp

Compressible, planar tension, C3D8RH elements.

mhgtdo3ahc.inp

Compressible, volumetric compression, C3D8RH elements.

XI. Hyperelasticity with Arruda-Boyce strain energy function

Elements tested

C3D8RH    CPS4R   

Problem description

Material:

Arruda-Boyce coefficients: = 200., = 5.
Compressible case: = 0.001.
Test data: Treloar's experimental data.

(The units are not important.)

Results and discussion

The results agree well with exact analytical or approximate solutions.

Input files

Coefficient input

mhacoo3hut.inp

Incompressible, uniaxial tension, C3D8RH elements.

mhacoo3ibt.inp

Incompressible, biaxial tension, C3D8RH elements.

mhacoo3gsh.inp

Incompressible, planar tension, C3D8RH elements.

mhacoo3vlp.inp

Incompressible, uniaxial tension with static linear perturbation steps containing *LOAD CASE, C3D8RH elements.

mhacot3hut.inp

Incompressible, temperature-dependent, uniaxial tension, C3D8RH elements.

mhacdo3hut.inp

Compressible, uniaxial tension, C3D8RH elements.

mhacdo3ibt.inp

Compressible, biaxial tension, C3D8RH elements.

mhacdo3gsh.inp

Compressible, planar tension, C3D8RH elements.

mhacdo3ahc.inp

Compressible, volumetric compression, C3D8RH elements.

mhacoo2hut.inp

Incompressible, uniaxial tension, CPS4R elements.

mhacoo2ibt.inp

Incompressible, biaxial tension, CPS4R elements.

mhacoo2gsh.inp

Incompressible, planar tension, CPS4R elements.

mhacdo2hut.inp

Compressible, uniaxial tension, CPS4R elements.

mhacdo2ibt.inp

Compressible, biaxial tension, CPS4R elements.

mhacdo2gsh.inp

Compressible, planar tension, CPS4R elements.

Test data input

mhatdo3hut.inp

Compressible, uniaxial tension, C3D8RH elements.

mhatdo3ibt.inp

Compressible, biaxial tension, C3D8RH elements.

mhatdo3gsh.inp

Compressible, planar tension, C3D8RH elements.

mhatdo3ahc.inp

Compressible, volumetric compression, C3D8RH elements.

XII. Hyperelasticity with Van der Waals strain energy function

Elements tested

C3D8RH    CPS4R   

Problem description

Material:

Van der Waals coefficients: = 200., = 10., a = 0.1, = 0.
Compressible case: = 0.001.
Test data: Treloar's experimental data.
Test data (parameter held constant): Treloar's experimental data, = 0.

(The units are not important.)

Results and discussion

The results agree well with exact analytical or approximate solutions.

Input files

Coefficient input

mhvcoo3hut.inp

Incompressible, uniaxial tension, C3D8RH elements.

mhvcoo3ibt.inp

Incompressible, biaxial tension, C3D8RH elements.

mhvcoo3gsh.inp

Incompressible, planar tension, C3D8RH elements.

mhvcoo3vlp.inp

Incompressible, uniaxial tension with static linear perturbation steps containing *LOAD CASE, C3D8RH elements.

mhvcot3hut.inp

Incompressible, temperature-dependent, uniaxial tension, C3D8RH elements.

mhvcdo3hut.inp

Compressible, uniaxial tension, C3D8RH elements.

mhvcdo3ibt.inp

Compressible, biaxial tension, C3D8RH elements.

mhvcdo3gsh.inp

Compressible, planar tension, C3D8RH elements.

mhvcdo3ahc.inp

Compressible, volumetric compression, C3D8RH elements.

mhvcoo2hut.inp

Incompressible, uniaxial tension, CPS4R elements.

mhvcoo2ibt.inp

Incompressible, biaxial tension, CPS4R elements.

mhvcoo2gsh.inp

Incompressible, planar tension, CPS4R elements.

mhvcdo2hut.inp

Compressible, uniaxial tension, CPS4R elements.

mhvcdo2ibt.inp

Compressible, biaxial tension, CPS4R elements.

mhvcdo2gsh.inp

Compressible, planar tension, CPS4R elements.

Test data input

mhvtdo3hut.inp

Compressible, uniaxial tension, C3D8RH elements.

mhvtdo3ibt.inp

Compressible, biaxial tension, C3D8RH elements.

mhvtdo3gsh.inp

Compressible, planar tension, C3D8RH elements.

mhvtdo3ahc.inp

Compressible, volumetric compression, C3D8RH elements.

Test data input (parameter β held constant)

mhvtbo3hut.inp

Compressible, uniaxial tension, C3D8RH elements.

mhvtbo3ibt.inp

Compressible, biaxial tension, C3D8RH elements.

mhvtbo3gsh.inp

Compressible, planar tension, C3D8RH elements.

mhvtbo3ahc.inp

Compressible, volumetric compression, C3D8RH elements.

XIII. Hyperelasticity with Marlow strain energy function

Elements tested

C3D8H    C3D8R    CPE4RH    CPE4R    CPS4R    S4R    M3D4R   

T2D2    T3D2    B21    B22    B31    B32    B31OS    B32OS   

PIPE21    PIPE22    PIPE31    PIPE32   

Problem description

The tests in this section verify that the results generated using the Marlow hyperelastic model with different elements agree with the test data specified in the model.

Results and discussion

The results agree well with the test data specified for the Marlow model.

Input files

ABAQUS/Standard input files

marlow_uniaxial_icmp.inp

Incompressible, C3D8H element, uniaxial tension test data.

marlow_uniaxial_cmp.inp

Compressible, C3D8H element, uniaxial tension and volumetric compression test data.

marlow_uniaxial_pos.inp

Compressible, C3D8H element, uniaxial tension test data, with Poisson's ratio equal to 0.47.

marlow_uniaxial_e3.inp

Compressible, C3D8H element, uniaxial tension test data, with lateral nominal strains specified.

marlow_biaxial_icmp.inp

Incompressible, C3D8H element, uniaxial tension test data.

marlow_biaxial_cmp.inp

Compressible, C3D8H element, biaxial tension and volumetric compression test data.

marlow_biaxial_pos.inp

Compressible, C3D8H element, biaxial tension test data, with Poisson's ratio equal to 0.47.

marlow_biaxial_eb.inp

Compressible, C3D8H element, biaxial tension test data, with lateral nominal strains specified.

marlow_planar_icmp.inp

Incompressible, C3D8H element, planar tension test data.

marlow_planar_cmp.inp

Compressible, C3D8H element, planar tension and volumetric compression test data.

marlow_planar_pos.inp

Compressible, C3D8H element, planar tension test data, with Poisson's ratio equal to 0.47.

marlow_planar_e3.inp

Compressible, C3D8H element, planar tension test data, with lateral nominal strains specified.

marlow_cpe4rh_icmp.inp

Incompressible, CPE4RH element, uniaxial tension test data.

marlow_cpe4rh_cmp.inp

Compressible, CPE4RH element, uniaxial tension and volumetric compression test data.

marlow_cps4r_icmp.inp

Incompressible, CPS4R element, uniaxial tension test data.

marlow_cps4r_cmp.inp

Compressible, CPS4R element, uniaxial tension and volumetric compression test data.

marlow_s4r_icmp.inp

Incompressible, S4R element, uniaxial tension test data.

marlow_s4r_cmp.inp

Compressible, S4R element, uniaxial tension and volumetric compression test data.

marlow_m3d4r_icmp.inp

Incompressible, M3D4R element, uniaxial tension test data.

marlow_m3d4r_cmp.inp

Compressible, M3D4R element, uniaxial tension and volumetric compression test data.

marlow_t2d2_icmp.inp

Incompressible, T2D2 element, uniaxial tension test data.

marlow_t2d2_cmp.inp

Compressible, T2D2 element, uniaxial tension and volumetric compression test data.

marlow_t3d2_icmp.inp

Incompressible, T3D2 element, uniaxial tension test data.

marlow_t3d2_cmp.inp

Compressible, T3D2 element, uniaxial tension and volumetric compression test data.

marlow_b21_icmp.inp

Incompressible, B21 element, uniaxial tension test data.

marlow_b21_cmp.inp

Compressible, B21 element, uniaxial tension and volumetric compression test data.

marlow_b22_icmp.inp

Incompressible, B22 element, uniaxial tension test data.

marlow_b22_cmp.inp

Compressible, B22 element, uniaxial tension and volumetric compression test data.

marlow_b31_icmp.inp

Incompressible, B31 element, uniaxial tension test data.

marlow_b31_cmp.inp

Compressible, B31 element, uniaxial tension and volumetric compression test data.

marlow_b32_icmp.inp

Incompressible, B32 element, uniaxial tension test data.

marlow_b32_cmp.inp

Compressible, B32 element, uniaxial tension and volumetric compression test data.

marlow_b31os_icmp.inp

Incompressible, B31OS element, uniaxial tension test data.

marlow_b31os_cmp.inp

Compressible, B31OS element, uniaxial tension and volumetric compression test data.

marlow_b32os_icmp.inp

Incompressible, B32OS element, uniaxial tension test data.

marlow_b32os_cmp.inp

Compressible, B32OS element, uniaxial tension and volumetric compression test data.

marlow_pipe21_icmp.inp

Incompressible, PIPE21 element, uniaxial tension test data.

marlow_pipe21_cmp.inp

Compressible, PIPE21 element, uniaxial tension and volumetric compression test data.

marlow_pipe22_icmp.inp

Incompressible, PIPE22 element, uniaxial tension test data.

marlow_pipe22_cmp.inp

Compressible, PIPE22 element, uniaxial tension and volumetric compression test data.

marlow_pipe31_icmp.inp

Incompressible, PIPE31 element, uniaxial tension test data.

marlow_pipe31_cmp.inp

Compressible, PIPE31 element, uniaxial tension and volumetric compression test data.

marlow_pipe32_icmp.inp

Incompressible, PIPE32 element, uniaxial tension test data.

marlow_pipe32_cmp.inp

Compressible, PIPE32 element, uniaxial tension and volumetric compression test data.

marlow_combined_ct.inp

Incompressible, T2D2 element, uniaxial tension and compression test data.

marlow_rebar.inp

Incompressible, S4R element, uniaxial tension test data.

marlow_depend.inp

Incompressible, C3D8H element, uniaxial tension test data with field dependencies.

marlow_hysteresis.inp

Incompressible, C3D8H element, uniaxial tension test data, hysteresis analysis.

marlow_initialstress.inp

Compressible, C3D8H element, uniaxial tension test data, with initial stress specified.

marlow_map0.inp

Incompressible, C3D8H element, uniaxial tension test data, needed for the following map solution analysis.

marlow_map.inp

Incompressible, C3D8H element, uniaxial tension test data, map solution analysis.

marlow_visco_c3d8h_icmp.inp

Compressible, C3D8H element, uniaxial tension and relaxation test data.

marlow_visco_c3d8h_cmp.inp

Compressible; C3D8H element; uniaxial tension, volumetric compression, and relaxation test data.

marlow_visco_cps4r_icmp.inp

Compressible, CPS4R element, uniaxial tension and relaxation test data.

marlow_visco_cps4r_cmp.inp

Compressible; CPS4R element; uniaxial tension, volumetric compression, and relaxation test data.

marlow_visco_t3d2_icmp.inp

Compressible, T3D2 element, uniaxial tension and relaxation test data.

marlow_visco_t3d2_cmp.inp

Compressible; T3D2 element; uniaxial tension, volumetric compression, and relaxation test data.

marlow_visco_b21_icmp.inp

Compressible, B21 element, uniaxial tension and relaxation test data.

marlow_visco_b21_cmp.inp

Compressible; B21 element; uniaxial tension, volumetric compression, and relaxation test data.

marlow_visco_b31_icmp.inp

Compressible, B31 element, uniaxial tension and relaxation test data.

marlow_visco_b31_cmp.inp

Compressible; B32 element; uniaxial tension, volumetric compression, and relaxation test data.

marlow_visco_pipe21_icmp.inp

Compressible, PIPE21 element, uniaxial tension and relaxation test data.

marlow_visco_pipe21_cmp.inp

Compressible; PIPE21 element; uniaxial tension, volumetric compression, and relaxation test data.

marlow_visco_pipe31_icmp.inp

Compressible, PIPE31 element, uniaxial tension and relaxation test data.

marlow_visco_pipe31_cmp.inp

Compressible; PIPE31 element; uniaxial tension, volumetric compression, and relaxation test data.

marlow_volumecomp.inp

Volumetric test; C3D8R element; uniaxial tension and volumetric compression.

marlow_sx_s_c3d8r.inp

Base problem for carrying out import from ABAQUS/Standard to ABAQUS/Explicit, C3D8R element.

marlow_xs_s_c3d8r.inp

Import into ABAQUS/Standard from marlow_sx_x_c3d8r.inp.

marlow_sx_s_cpe4r.inp

Base problem for carrying out import from ABAQUS/Standard to ABAQUS/Explicit, CPE4R element.

marlow_xs_s_cpe4r.inp

Import into ABAQUS/Standard from marlow_sx_x_cpe4r.inp.

marlow_sx_s_cps4r.inp

Base problem for carrying out import from ABAQUS/Standard to ABAQUS/Explicit, CPS4R element.

marlow_xs_s_cps4r.inp

Import into ABAQUS/Standard from marlow_sx_x_cps4r.inp.

marlow_sx_s_t2d2.inp

Base problem for carrying out import from ABAQUS/Standard to ABAQUS/Explicit, T2D2 element.

marlow_xs_s_t2d2.inp

Import into ABAQUS/Standard from marlow_sx_x_t2d2.inp.

ABAQUS/Explicit input files

marlow_xpl_disp.inp

Uniaxial test; displacement control; C3D8R, CPE4R, CPS4R, M3D4R, S4R, and T3D2 elements.

marlow_xpl_load.inp

Uniaxial test; load control; C3D8R, CPE4R, CPS4R, M3D4R, S4R, and T3D2 elements.

marlow_xpl_initstress.inp

Specified initial stress; C3D8R, CPE4R, CPS4R, M3D4R, S4R, and T3D2 elements.

marlow_xpl_mullins.inp

Combination with *MULLINS EFFECT; cyclic test; C3D8R, CPE4R, CPS4R, M3D4R, S4R, and T3D2 elements.

marlow_xpl_visco.inp

Creep test; C3D8R, CPE4R, CPS4R, M3D4R, S4R, and T3D2 elements.

marlow_sx_x_c3d8r.inp

Explicit dynamic continuation of marlow_sx_s_c3d8r.inp.

marlow_sx_x_cpe4r.inp

Explicit dynamic continuation of marlow_sx_s_cpe4r.inp.

marlow_sx_x_cps4r.inp

Explicit dynamic continuation of marlow_sx_s_cps4r.inp.

marlow_sx_x_t2d2.inp

Explicit dynamic continuation of marlow_sx_s_t2d2.inp.

XIV. Hyperfoam

Elements tested

C3D8R    CPS4R   

Problem description

Material:

Hyperfoam coefficients (N=3, from fit of test data):
= –48.3291, = 3.58961, = 26.3505, = 3.84360, = 22.1809, = 3.34171.
Test data (N=3): Uniaxial compression, simple shear test data.
An effective Poisson's ratio of = 0 is used, except for = 0.10 for the biaxial test cases and varying in the temperature-dependent case.

(The units are not important.)

Results and discussion

The results agree well with exact analytical or approximate solutions.

Input files

Coefficient input

mhfcdo2euc.inp

= 0., uniaxial compression, CPS4R elements.

mhfcdo2fbc.inp

= 0.1, biaxial compression, CPS4R elements.

mhfcdo2gsh.inp

= 0., simple shear, CPS4R elements.

mhfcdo3vlp.inp

= 0., uniaxial compression with linear perturbation steps containing *LOAD CASE, C3D8R elements.

Test data input

mhftdo3euc.inp

= 0., uniaxial compression, C3D8R elements.

mhftdo3fbc.inp

= 0.1, biaxial compression, C3D8R elements.

mhftdo3gsh.inp

= 0., simple shear, C3D8R elements.

mhftdo3ahc.inp

= 0., volumetric compression, C3D8R elements.

mhfcdt3euc.inp

= 0. – 0.06, temperature-dependent, uniaxial compression, C3D8R elements.

mhftdi3ahc.inp

= 0., volumetric compression with initial stresses, C3D8R elements.

XV. No compression

Element tested

CPE4   

Problem description

This option is used to modify the elasticity definition so that no compressive stress is allowed.

Material:

Young's modulus, E = 3.0e6
Poisson's ratio, = 0.3

Results and discussion

The results agree well with exact analytical or approximate solutions.

Input file

XVI. No tension

Element tested

CPE4   

Problem description

This option is used to modify the elasticity definition so that no tensile stress is allowed.

Material:

Young's modulus, E = 3.0e6
Poisson's ratio, = 0.3

Results and discussion

The results agree well with exact analytical or approximate solutions.

Input file