Rigid-plastic meso-damage constitutive theory for porous composites reinforced by particles

This paper is aimed at the construction of rigid-plastic meso-damage constitutive theory for porous composites reinforced by rigid particles. In order to overcome the obstacles to establishing rigid-plastic theory, a few concepts, such as the effective stress, effective strain rate, nominal effective stress, nominal effective strain rate, generalized triaxiality ratio and generalized triaxiality function, are defined. In addition, exact mathematical transformations that relate to the physical quantities in stress space and strain rate space are developed. The physical meanings of the concepts introduced in the theory are systematically annotated. The potentiality to predict and control the strength and ductility of particle reinforced porous composites by applying the constitutive theory is revealed.