Abstract
The purpose of the present paper is to establish a damage constitutive model for predicting the elastic-brittle mechanical behavior of continuous fiber reinforced ceramic matrix composites (CFCC). In this paper, the anisotropic damage is applied to describe the matrix phase damage which reflects all types of damage that the matrix material undergoes such as matrix cracking and transverse cracking. The asymptotic expansion homogenization method is used to obtain the effective mechanical properties of the composites, and to derive homogenized damage elastic concentration factor of unidirectional and cross-ply laminate composite materials. Internal variables are introduced to describe the evolution of the damage state under uniaxial loading and as a subsequence the degradation of the material stiffness. Results obtained from the numerical simulations include damage evolution prediction and non-linear stress-strain analyses of macro-microstructure, and they are compared well with existing experimental data.
