Formulation of a Polynomial Stochastic Fatigue Crack Growth Model

C.C. Ni

doi:10.4028/www.scientific.net/AMR.909.467

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 909Formulation of a Polynomial Stochastic Fatigue...

Formulation of a Polynomial Stochastic Fatigue Crack Growth Model

Abstract:

The study is focused on the formulation of a proposed polynomial stochastic fatigue crack growth model. Assuming the fatigue crack growth rate equal to a deterministic polynomial function in terms of fatigue crack size multiplied by a stationary lognormal random factor accounting for the statistical scatter of the fatigue crack growth, the analytical solutions of fatigue crack growth function and median crack growth function in term of model parameters were derived. Two extreme cases, lognormal random variable and lognormal white noise, of the proposed model were also investigated, and the analytical solutions of the distribution function of the random crack size at any service time and distribution function of random time to reach a specified crack size were obtained.

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Periodical:

Advanced Materials Research (Volume 909)

Pages:

467-471

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.909.467

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Online since:

March 2014

Authors:

C.C. Ni*

Keywords:

2024-T351, Fatigue Crack Growth, Random Process, Stochastic Model

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References

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