Abstract
The crack propagation under Gaussian stationary stochastic loading in presence of crack growth retardation effects is considered. The Wheeler retardation model is applied. The crack growth process is modeled by Markovian diffusion process. Some properties of envelope and clustering effect of the load process are taken into account in calculation of parameters of the Kolmogorov diffusion equation. The mean time to failure when the crack reaches its critical length is determined. The analysis of the mean lifetime equation and results of an example show that the stochastic fluctuations of the stationary load process alone do not affect significantly random variations of the lifetime. A quasi-deterministic relation between the features of the fatigue fracture and some material and load parameters is proposed. It gives a potential to consider effectively the fatigue crack propagation with retardation effects as an additional failure mode in reliability analysis.
Highlights
THE GAUSSIAN stationary stochastic process is considered to cause fatigue crack growth in randomly nonhomogeneous materials
Statistical parameters of random stress amplitudes are derived from the model of conditioned stochastic process given a maximum occures at a time instant t
It is shown that random variations of the lifetime are not significantly affected by stochastic fluctuations of loading and material nonhomogeneity
Summary
THE GAUSSIAN stationary stochastic process is considered to cause fatigue crack growth in randomly nonhomogeneous materials. Of the contribution not included in this issue Fatigue crack growth under stationary stochastic loading(*)
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
