A stochastic Markovian model for fatigue short crack growth across microstructural barriers

Bernard Fedelich
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Abstract

A stochastic model for fatigue short crack growth is presented. It takes into account the interaction between the crack-tip plastic zone and grain boundaries. The process is Markovian. It is completely described by the crack length and the size of the plastic zone. The integro-differential equation giving the evolution of the transition probability distribution is derived.

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