The generalized Masing models for deteriorating hysteresis and cyclic plasticity

The Masing model originally proposed for one-dimensional cyclically stabilized hysteretic behavior is generalized for deteriorating hysteresis and for cyclic plasticity, with system degradation and cyclic hardening effects taken into account. The generalization into the multi-dimensional case is based on the concept of a universal stress-strain curve and the associated effective stress and effective strain. Numerical simulations confirm the validity of the generalized models that are conceptually simple and parametrically parsimonious. The generalization method employed also provides a unifying way of extending 1-D hysteretic models to multi-dimensional constitutive models in cyclic plasticity.