Breakage Laws of Binary Structure of Rock and Soil Based on Voigt Model and Reuss Model

Rock and soil are heterogeneous and porous materials. Under the framework of damage mechanics, rock and soil materials are idealized as binary mediums composed of cementation elements and friction elements. Two constitutive equations are derived based on Voigt model and Reuss model and satisfy conditions of deformation coordination and stress continuity respectively. Damage law of binary medium and sharing of load and deformation under three axes complex stress state were discussed by acase. Results show that failure behavior of binary medium is related to physical and mechanical properties of cementation element and friction element, confining pressure and stress level et al. With the increase of stress level, the role of cementation element in resisting axial compression decreases gradually, while resistance to the axial compressive deformation decreases first and then increases. With the increase of confining pressure, the role of cementation elementin resisting axial pressure and shear forcedecreases gradually, and the resistance to axial compression deformation and shear deformation increases gradually.