Element kinematics
Elements tested
COH3D8
COH3D6
COH2D4
COHAX4
Problem description
The following three types of constitutive response for cohesive elements are verified in this test:
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Cohesive elements used as gaskets or small adhesive patches.
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A finite-thickness adhesive layer modeled using a continuum-based constitutive response.
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A negligibly thin layer of adhesive modeled using a traction-separation-based response.
Each response is verified for deformation in pure normal and two pure shear modes (one shear mode for two-dimensional and axisymmetric elements) by applying appropriate displacement boundary conditions.
Model:
This test comprises single-element models, the geometry of which is defined so that the initial thickness is 1.0 for each case. The thickness direction for the elements is set to the global 1-direction, except for COH3D6, for which the thickness direction is set to the default direction.
Material:
The response of cohesive elements is tested for the following material models:
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Linear elastic
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Hyperelastic
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Hyperfoam
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Mises plasticity
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Drucker-Prager plasticity
Boundary conditions:
- Pure normal mode:
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= = = = 1.0 = = = =−1.0
- Pure shear in the first shear direction:
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= = = = 1.0 = = = =−1.0
- Pure shear in the second shear direction:
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= = = = 1.0 = = = =−1.0
All degrees of freedom other than those listed above are fixed.
Results and discussion
The response of the cohesive elements matches the analytical results.
Input files
Abaqus/Standard input files
- lk_coh3d8_ts_stack1_std.inp
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TRACTION SEPARATION response for COH3D8.
- lk_coh3d8_co_stack1_std.inp
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CONTINUUM response for COH3D8.
- lk_coh3d8_gk_stack1_std.inp
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GASKET response for COH3D8.
- lk_coh3d6_ts_std.inp
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TRACTION SEPARATION response for COH3D6.
- lk_coh3d6_co_std.inp
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CONTINUUM response for COH3D6.
- lk_coh3d6_gk_std.inp
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GASKET response for COH3D6.
- lk_coh2d4_ts_stack1_std.inp
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TRACTION SEPARATION response for COH2D4.
- lk_coh2d4_co_stack1_std.inp
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CONTINUUM response for COH2D4.
- lk_coh2d4_gk_stack1_std.inp
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GASKET response for COH2D4.
- lk_cohax4_ts_stack1_std.inp
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TRACTION SEPARATION response for COHAX4.
- lk_cohax4_co_stack1_std.inp
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CONTINUUM response for COHAX4.
- lk_cohax4_gk_stack1_std.inp
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GASKET response for COHAX4.
- coh_co_hyper_std.inp
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CONTINUUM response for COH3D8, COH3D6, COH2D4, COHAX4 with hyperelasticity.
- coh_gk_hyper_std.inp
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GASKET response for COH3D8, COH3D6, COH2D4, COHAX4 with hyperelasticity.
- coh_co_hyperfoam_std.inp
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CONTINUUM response for COH3D8, COH3D6, COH2D4, COHAX4 with hyperfoam material.
- coh_gk_hyperfoam_std.inp
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GASKET response for COH3D8, COH3D6, COH2D4, COHAX4 with hyperfoam material.
- coh_co_mises_std.inp
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CONTINUUM response for COH3D8, COH3D6, COH2D4, COHAX4 with Mises plasticity.
- coh_gk_mises_std.inp
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GASKET response for COH3D8, COH3D6, COH2D4, COHAX4 with Mises plasticity.
- coh_co_dp_std.inp
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CONTINUUM response for COH3D8, COH3D6, COH2D4, COHAX4 with Drucker-Prager plasticity.
- coh_transshear_std.inp
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COH3D8, COH3D6, COH2D4, COHAX4 with uncoupled transverse shear stiffness specified using the TRANSVERSE SHEAR STIFFNESS option.
Abaqus/Explicit input files
- lk_coh3d8_ts_stack1_xpl.inp
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TRACTION SEPARATION response for COH3D8.
- lk_coh3d8_co_stack1_xpl.inp
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CONTINUUM response for COH3D8.
- lk_coh3d8_gk_stack1_xpl.inp
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GASKET response for COH3D8.
- lk_coh3d6_ts_xpl.inp
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TRACTION SEPARATION response for COH3D6.
- lk_coh3d6_co_xpl.inp
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CONTINUUM response for COH3D6.
- lk_coh3d6_gk_xpl.inp
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GASKET response for COH3D6.
- lk_coh2d4_ts_stack1_xpl.inp
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TRACTION SEPARATION response for COH2D4.
- lk_coh2d4_co_stack1_xpl.inp
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CONTINUUM response for COH2D4.
- lk_coh2d4_gk_stack1_xpl.inp
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GASKET response for COH2D4.
- lk_cohax4_ts_stack1_xpl.inp
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TRACTION SEPARATION response for COHAX4.
- lk_cohax4_co_stack1_xpl.inp
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CONTINUUM response for COHAX4.
- lk_cohax4_gk_stack1_xpl.inp
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GASKET response for COHAX4.
- coh_co_hyper_xpl.inp
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CONTINUUM response for COH3D8, COH3D6, COH2D4, COHAX4 with hyperelasticity.
- coh_gk_hyper_xpl.inp
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GASKET response for COH3D8, COH3D6, COH2D4, COHAX4 with hyperelasticity.
- coh_co_hyperfoam_xpl.inp
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CONTINUUM response for COH3D8, COH3D6, COH2D4, COHAX4 with hyperfoam material.
- coh_gk_hyperfoam_xpl.inp
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GASKET response for COH3D8, COH3D6, COH2D4, COHAX4 with hyperfoam material.
- coh_transshear_xpl.inp
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COH3D8, COH3D6, COH2D4, COHAX4 with uncoupled transverse shear stiffness specified using the TRANSVERSE SHEAR STIFFNESS option.