Abstract
A stochastic model is presented for fracture analysis of Gaussian response processes which are the combinations of narrow-banded component processes in two highly different frequency domains. Stochastic characteristics of such processes are described by their spectral functions and stochastic envelopes, from which a probabilistic model of the equivalent fatigue stress range is obtained. Fracture is assessed considering the first-passage of the load process upcrossing the strength threshold. The Paris equation and CTOD method are applied in determining time-deteriorating strength due to crack growth. The developed stochastic model for fracture assessment is both theoretically reasonable and numerically efficient, illustrated through a numerical example.
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