Abstract
It is unfortunately not possible to make direct use of the Fokker-Planck equation in an ordinary sense for the derivation of fatigue crack length distribution under random loading since a fatigue crack generally grows, on the average, very rapidly to the state of infinite length within a finite length of time, and once it reaches such a state it remains therein forever. In the present study, therefore, a generalized sense of the Fokker-Planck equation to describe the temporal variation of crack length distribution has been derived and solved in a closed form through the introduction of the so-called death point. At the same time, much advantage as well as a great deal of practical usefulness of this explicit solution has been demonstrated for engineering problems where stochastic processes with increasing growth rate play an important role.
Published Version
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