Micromechanical Damage Models for Brittle Solids. Part II: Compressive Loadings

Abstract

In this sequel, three‐dimensional self‐consistent damage models for brittle solids under compressive triaxial loadings are developed based on micromechanics and microcrack geometry within a representative volume. Due to frictional sliding of closed microcracks under compressive loadings, overall compliances of damaged brittle solids are nonsymmetric and anisotropic. Accordingly, solutions of microcrack opening displacements for a single penny‐shaped microcracks embedded in a general nonsymmetric fully anisotropic elastic medium are derived in this paper. The corresponding damage‐induced inelastic compliances are subsequently constructed. In addition to stationary microcrack formulations, micromechanical evolutionary damage models are presented. Both cleavage 1 and cleavage 2 deformation processes are considered. Computational procedures and micromechanical simulations for uniaxial and triaxial compression tests are presented for both the present and Taylor's models. Finally, these micromechanical model simulations are compared with available experimental data.