The Macro-Microscopic Numerical Simulation of the Mechanical Behavior of CFCC with Matrix Anisotropic Damage by Homogenization Method

Abstract

Abstract In this paper, a damage constitutive model based on a micro-mechanical approach is established and used to predict the macro-microscopic elastic-brittle mechanical behavior of continuous fiber reinforced ceramic matrix composites (CFCC). Anisotropic damage is applied to describe the matrix phase damage which reflects all types of damage such as nucleation and coalescence of voids and micro-cracks that the matrix material undergoes. The asymptotic expansion homogenization method is used to obtain the effective mechanical properties of composites and to derive the homogenized damage elastic concentration factor and the gross stiffness matrix of unidirectional and cross-ply laminate composite materials. Internal variables are introduced to describe the evolution of the damage state and the degradation of the material stiffness. Using the proposed theory, the unidirectional composite and the cross-ply laminate composites with /03/90/03/, /03/902/03/, and /03/903/03/ stacking sequences are analyzed, and the numerical results are consistent with those of the experiments.