Simple shear

This problem contains basic test cases for one or more Abaqus elements and features.

This page discusses:

ProductsAbaqus/Explicit

Elements tested

CPE4R

CPS4R

C3D8

C3D8R

M3D4R

S4

S4R

Features tested

Large deformation kinematics, stability of large-strain formulation.

Problem description

In this problem a state of simple shear is induced in a single element up to a nominal shear strain of 300%. The material model is isotropic linear elasticity. There are no physical materials that exhibit linear elastic response to such large shear strain. The purpose of this example problem is to verify the large deformation and large rotation algorithms in Abaqus/Explicit.

The material properties used are Young's modulus = 1.0, Poisson's ratio = 0.0, and density = 1.346 × 10−4.

In this problem all the in-plane degrees of freedom are either zero or are prescribed as functions of time. The value used for the density controls the time increment size, and it was chosen to give a time increment size that results in about 1% shear strain per increment.

This problem is analyzed using five different element types, each of which is defined twice. Each element in the bottom row is sheared in the x-direction; each element in the top row is sheared in the y-direction.

Results and discussion

The computed stress-strain curves for the bottom and top rows of elements are in agreement with analytic solutions.

These results demonstrate that the kinematic formulation is uniform across all the element types defined in Abaqus/Explicit.

Input files

shear.inp

C3D8R, CPE4R, CPS4R, M3D4R, and S4R elements.

shear_c3d4.inp

C3D4 element.

shear_c3d6.inp

C3D6 element.

shear_c3d8r.inp

C3D8R element.

shear_cax3.inp

CAX3 element.

shear_cpe3.inp

CPE3 element.

shear_cpe4r.inp

CPE4R element.

shear_cps3.inp

CPS3 element.

shear_cps4r.inp

CPS4R element.

shear_m3d3.inp

M3D3 element.

shear_m3d4r.inp

M3D4R element.

shear_s3r.inp

S3R element.

shear_s4r.inp

S4R element.

shear_c3d8.inp

C3D8 element included for the purpose of testing performance only.

shear_s4.inp

S4 element included for the purpose of testing performance only.