Product: ABAQUS/Explicit
This verification problem tests single-element models that include most of the element types in ABAQUS/Explicit and are run under simple loading conditions (uniaxial tension, uniaxial compression, and simple shear). The purpose of this example is to test the Johnson-Cook plasticity model by comparing it to the Mises plasticity model with equivalent plastic hardening. Figure 2.2.15–1 shows the 26 elements used in the analysis in their original shapes. The elements in the top row are modeled using the Johnson-Cook material model; the elements in the bottom row are modeled using the Mises plasticity model with an equivalent hardening curve. The elastic material properties are Young's modulus = 124 GPa and Poisson's ratio = 0.34. The plastic hardening is chosen to be
is the yield stress (unit in MPa) and 
is the equivalent plastic strain. The material properties are those of OFHC copper as reported by Johnson and Cook (1985). A plot of versus is shown in Figure 2.2.15–2.The results obtained by using the Johnson-Cook material model match the corresponding results obtained by using the Mises plasticity model with an equivalent hardening curve. Figure 2.2.15–3 shows the comparison of the Mises stress obtained with the Johnson-Cook and the Mises plasticity models using the C3D8R element under uniaxial tension; Figure 2.2.15–4 shows the comparison of the Mises stress obtained with the Johnson-Cook and the Mises plasticity models using the CPE4R element under uniaxial compression; Figure 2.2.15–5 shows the comparison of the Mises stress obtained with the Johnson-Cook and the Mises plasticity models using the CPE4R element under simple shear.
Uniaxial tension test.
Uniaxial compression test.
Simple shear test.
Uniaxial tension test, nonzero initial conditions for .
Uniaxial compression test, nonzero initial conditions for .
Simple shear test, nonzero initial conditions for .
