PSI - Issue 39

Dmitry O. Reznikov / Procedia Structural Integrity 39 (2022) 236–246 Author name ./ Structural Integrity Procedia 00 (2019) 000–000

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Fig. 7. Dependencies of prior and posterior probabilities of failure on the number of loading cycles.

4. Conclusions An approach for a statistical description of the kinetics of fatigue cracks when a single or sequential overloads are superimposed on cyclic constant amplitude loading has been developed. The approach is based on the combined application of the Wheeler’s model to describe the effect of crack retardation after the overload and Monte Carlo simulation to get the prior assessment of failure probability vs. number of loading cycles. Bayesian inference is used to update the prior assessment of failure probability as soon as data from in-service technical inspections become available. Acknowledgements The work was financially supported by the Russian Foundation for Basic Research (Project 20-58-00019 Bel_a) References Harris, D.O., 1995. Probabilistic Fracture Mechanics. In: Sundararajan, C. (Ed.) Probabilistic Structural Mechanics Handbook. Springer, Boston, MA. 106-145 Karandikar J.M, Kim N.H., Schmitz T.L.,2012. Prediction of remaining useful life for fatigue-damaged structures using Bayesian inference. Eng. Fract. Mech. J. 96, 588-605. Kroese, D.P., Taimre, T., Botev, Z.I., 2013. Handbook of Monte Carlo methods. John Wiley & Sons, New Jersey, pp. 772. Makhutov, N.A., Reznikov, D.O., 2021.Application of Bayesian Procedures for Assessment of Fatigue Failure Probability. Deformation and Fracture of Materials 12, 2-10. Matvienko,Yu.G., 2006. Models and Criteria of Fracture Mechanics. Fizmatlit publ. Moscow, pp.328 (in Russian). Matvienko, Y.G., Kuzmin, D.A., Reznikov, D.O. et al. 2021.Assessment of the Probability of Fatigue Fracture of Structural Components with Accounting for the Statistical Scatter of Mechanical Properties of the Material and the Residual Defectness. J. Mach. Manuf. Reliab. 50, 302– 311. Newman, J.R., 1982. Prediction of fatigue crack growth under variable–amplitude and spectrum loading using a closure model. In: Abelkis, P.R., Hudson, C.M, eds. Design of fatigue and fracture resistant structure, ASTM STP 761. American Society for Testing and Materials. 255–277. Noroozi, A.H., Glinka,G., Lambert,S., 2008. Prediction of fatigue crack growth under constant amplitude loading and a single overload based on elasto-plastic crack tip stresses and strains. Engineering Fracture Mechanics 75, 2,188-206 Schijve, J., 2009.Fatigue of Structures and Materials. Springer, Delft, pp. 623 Sheu, B.C., Song, P.S., Hwang, S., 1995.Shaping exponent in Wheeler model under a single overload. Engineering Fracture Mechanics 51, 135 143. Wheeler, O.E., 1972. Spectrum loading and crack growth. J Basic Eng 94, 181–186. Willenborg, J., Engle, R.M., Wood, H.A., 1971.A crack growth retardation model using an effective stress concept. Dayton (OH). Air Force Flight Dynamics Lab, Wright-Patterson AFB. Report No.AFFDL-TM-71-1-FBR. Yamada, Y., Ziegler, B., Newman, J.C., 2011.Application of a strip-yield model to predict crack growth under variable-amplitude and spectrum loading—Part 1: Compact specimens. Eng Fract Mech 78, 14, 2597–608.