A model for irreversible deformation phenomena driven by hydrostatic stress, deviatoric stress and an externally applied field

Hydrostatic, deviatoric, and external field-driven irreversible dissipations have generally been modeled by separated models. However, since all the irreversible dissipations are governed by the laws of thermodynamics, it is possible to describe the coupled multi-irreversible dissipations with a general model. This paper presents a modeling structure of inelastic potential for coupled multi-irreversible dissipation conditions based on the thermodynamic laws. The inelastic potential is derived from a proposed inelastic dissipation function, and the scalar rates of irreversible deformation are formulated to consider the coupled effect of irreversible hydrostatic deformation, deviatoric deformation, and field-driven internal response. In this paper, the inelastic potential model is discussed with visualized potential surfaces, and some numerical examples are conducted to test the model in several conditions. In addition, the model is applied to three practical engineering problems. The results of this paper show that this model can be used as a general model to simulate individual irreversible dissipation as well as the coupled multi-irreversible phenomena.