2022 Volume 10 Issue 1 Pages 381-389
In this paper, we present an alternative formulation of the plastic flow rule using a yield function, to facilitate the understanding of the rule and to possibly provide a clue to improve the stability of the numerical analysis of elasto-plastic problems. Without making any physical assumptions, such as the decomposition of strain rate or the form of plastic strain rate, the alternative formulation produces an elasto-plastic tensor consistent with the conventional formulation and governing equations for displacement rather than displacement rate. In addition, the treatment of hardening is studied, and its potential application to numerical analysis for the improvement of stability is discussed.