A Continuum Elastic-Plastic Theory for Porous Materials With Maximum Energy Dissipation Rate

Abstract In this article, in terms of the first and second laws of thermodynamics, as well as the principle of maximum energy dissipation rate, a continuum elastic-plastic theory for porous materials is proposed. Unlike the Prandtl-Reuss equation, the influence of plastic volumetric strain is fully taken into account. An incremental elastic-plastic constitutive law is derived, and a series of yield criteria is proposed. Its implementation is demonstrated with a simple example. This study offers a new perspective for modeling the elastic-plastic deformation of porous materials.