The Draw button, as shown in Figure 1, in the plastic material dialog box opens the Plastic Hardening Rule plot dialog box containing a plot of the stress-strain relationship defined by the current plastic material input data, as shown in Figure 2.
Figure 1 The Draw button in the Plastic Material dialog box
Figure 2 The Plastic Hardening Rule plot dialog box
The Plastic Hardening Rule dialog box contains a plot that corresponds to the axial stress versus the total axial strain that would be experienced by a specimen of material subjected to a tension and then a compression load in a uniaxial test. The load magnitude follows a pattern like the one shown in Figure 2.
Figure 3 Hypothetical axial load applied to a specimen
For the bilinear and nonlinear isotropic hardening (with or without the kinematic hardening), the load is 2x the initial yield stress. In the case of the nonlinear isotropic hardening, though, it is possible that the is unreachable. This occurs when , , and . Therefore, in the case that and , the load that is used is
In the case of the multi-linear isotropic hardening, the load is chosen so that at time , the yield stress is . Note that if the kinematic hardening is used, because the kinematic hardening introduces a back stress .
The slope of the total axial strain to axial stress curve during the plastic flow is expected to be
where is the sum of the isotropic hardening modulus and the kinematic hardening modulus.
Figure 4 The slope of the total strain vs. stress
References
Simo, J. C., and Hughes, T. J. R., Computational Inelasticity, Springer, 1998