Stochastic Process of Multiple Cracking in Discontinuous Random Fiber Reinforced Brittle Matrix Composites

The classical ACK model for multiple cracking in a tensile specimen of a fiber reinforced brittle matrix composite does not account for flaw size distribution of the matrix. In this paper, a stochastic treatment of the damage process in the form of multiple cracking in discontinuous random fiber reinforced brittle matrix composites is presented. The effect of matrix flaw size distribution (initial matrix damage) on composite strength and crack spacing is analyzed. The flaw size distribution of the matrix is simulated by a Monte Carlo process. In the simulation, a Weibull-type function is assumed. The conditions for crack growth depending on initial flaw size and external loads as well as fiber bridging effect are highlighted. Unique merits and deficiencies of the current study are also discussed.