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Sets of Multiple Cracks in Solids with Application to the Fatigue Life and Reliability Prediction

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Probabilistic Methods in the Mechanics of Solids and Structures

Summary

A generalized probabilistic model is developed for the fatigue life and reliability prediction of structures containing a set of non-interacting cracks. The main point is a comprehensive use of the concept of Poisson random sets throughout all the stages of the analysis. The model includes both initial and newborn cracks and crack-wise defects. Macrocracks initiation is considered as a result of dispersed damage accumulation. Inspection, repair and replacement of structural elements are included into the consideration also. The resuts may be interpreted as a fargoing generalization of Weibull distribution [1].

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© 1985 Springer-Verlag, Berlin, Heidelberg

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Bolotin, V.V. (1985). Sets of Multiple Cracks in Solids with Application to the Fatigue Life and Reliability Prediction. In: Eggwertz, S., Lind, N.C. (eds) Probabilistic Methods in the Mechanics of Solids and Structures. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82419-7_18

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  • DOI: https://doi.org/10.1007/978-3-642-82419-7_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82421-0

  • Online ISBN: 978-3-642-82419-7

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