Numerical tests on an optimal integration scheme for the von-Mises plasticity model based on exponential maps

We introduce a reformulation of the time-continuous von-Mises elastoplastic model, based on the definition of an integration factor and of an augmented relative stress. We present an integration procedure for the above constitutive model that makes use of exponential maps. The resulting method shows greater accuracy than other classical integration procedures such as radial return map methods. Moreover, quadratic accuracy and low error levels can be clearly appreciated through numerical testing. The new scheme preserves yield consistency along the integration time interval and is exact in case of zero isotropic hardening as well as for proportional loading.