On physical reliability of constitutive relations in plasticity for plane processes with bend point

Abstract

Abstract We focus our attention on the physical reliability of plasticity at complex loading. It is important for reliable solution of boundary-value problems. The results of experiments on complex loading in the form of trajectory in the form of two-element trajectories for weakly hardened material are considered in this issue. An analysis of physical reliability of the simplest versions of plasticity theories for describing active processes of complex loading with bend point is given here. We provide analysis and recommendations as to preferable applications of classical theories for plane complex loading modes. It is shown that neglecting the loading process geometry lead to considerable errors in theoretical calculations.