Author(s)

K. Goda

Abstract

A Markov process was applied to the chain-of-bundles probability model which is often used for axial strength analysis of a unidirectional fibrous composite. It was assumed during the process that a group consisting of fiber breakage points, the so-called cluster, evolves in time intermittently subject to a load sharing rule around itself, and that the composite fractures if the cluster achieves a critical size. Then, two kinds of the lifetime distributions for the critical cluster were analytically obtained. The results showed that in both the distributions a larger critical cluster reduces the width of distribution and form a master-like distribution. 1 Introduction Advanced composite materials reinforced with ceramic fibers, such as carbon and sili

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