Finite element analysis of macro-microscopic mechanical behavior of cross-ply fiber-reinforced ceramic matrix composites with matrix anisotropic damage

In this paper, a macro-microscopic constitutive model has been developed for the prediction of the mechanical behavior of the cross-ply continuous fiber reinforced ceramic matrix composites (CFCC) with anisotropic damage in matrix phase. The asymptotic expansion homogenization method is used to obtain the effective mechanical properties, and to derive homogenized elastic concentration factors and the gross stiffness matrix of the cross-ply laminate composites. Internal variables are introduced to describe the evolution of the damage state under uniaxial loading. The SiC/CAS composites with different stacking sequences are analyzed to understand the effect of thickness of 90° plies on the mechanical behavior and damage characteristics. The methodology has been incorporated into a finite element program, and numerical results compare well with existing experimental data.