A transformation method for implementing classical multi-yield-surface theory using the hardening rule of Mroz

A new method for implementing classical multi-yield-surface theory using the kinematic hardening rule of Mroz is proposed, in which a response formula describing initial loading is introduced, and further unloading and reloading response is then found by applying a transformation to the stress state variables involved in the initial loading formula. The validity of the new formulation is supported by previous experimental results for biaxial cyclic nonproportional loading. The rules governing the response behavior under arbitrary loading paths also serve as a generalization of the Masing model for one-dimensional hysteresis and they provide instructive insight into material behavior in cyclic plasticity, such as the property of erasure of memory.