Micromechanical Analysis of the Failure Process in Ceramic Matrix Composites

An analysis of the effectiveness of fiber reinforcement in brittle matrix composites is presented. The analytical method allows consideration of discrete fiber distribution and examination of the development of crack growth parameters on the microscale. The problem associated with bridging zone development is addressed here; therefore, the bridging zone is considered to be smaller than the main pre-existing crack, and the small-scale approach is used. The mechanics of the reinforcement is accurately accounted for in the process zone of a growing crack. Closed-form solutions characterizing the initial failure process are presented for linear and nonlinear forcefiber pullout displacement relationships. The implicit exact solution for the extended bridging zone is presented as well.