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Stochastic Modelling of Fatigue: Methodical Background

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Stochastic Approach to Fatigue

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 334))

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Abstract

Fatigue of engineering materials is a complicated and intriguing phenomenon that takes place in components and structures subjected to time — varying external loadings and that manifests itself in the deterioration of the material’s ability to carry the intended loadings.

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References

  1. Wigner E., The Unreasonable Effectiveness of Mathematics in the Natural Sciences, Comm. Pure Appl. Math. Vol 13, 1, 1960, 1–14.

    MATH  Google Scholar 

  2. Schlegel R. “Do We Know The World Through Science” in: Mind, Science and History (Eds. H. E. Kiefer, M. K. Munitz ), State Univ. of N. York Press, Albany, 1970.

    Google Scholar 

  3. Blekhman I. I, Myshkis A. D., Panovoko J.G., Mechanics and Applied Mathematics; Logic and Features of Mathematical Applications (in Russian), Moskow, Nauka 1983.

    Google Scholar 

  4. Bunge M., Theory Meets Experience in: Mind, Science and History (Eds. Kiefer H. E., Munitz M.K. ), State Univ. of N. York, Albany, New York, 1970.

    Google Scholar 

  5. Sobczyk K., Spencer B. F., Random Fatigue: Form Data to Theory, Academic Press, Boston, N. York, 1992.

    Google Scholar 

  6. Goodwin G. C., Payne R. I., Dynamic System Identification: Experiment Design and Data Analysis, Acad. Press, N. York, 1977.

    Google Scholar 

  7. Littlewood J. E., Dillema of Probability Theory, in: A Mathematical Miscellany, London 1957.

    Google Scholar 

  8. Nalimov V., Faces of Science, ISI Press, 1981.

    Google Scholar 

  9. Fine T. L., Theories of Probability. An Examination of Foundations, Acad. Press, 1973.

    MATH  Google Scholar 

  10. Csiszar L, Information — Type Distance Measures and Indirect Observations, Studia Scient. Math. Hungarica, Vol. 2, 299–318, 1967.

    MathSciNet  MATH  Google Scholar 

  11. Kozin F., Bogdanoff J. L., Role of Third Order Statistics in Discriminating among Models of Fatigue Crack Growth, Metallurgical Trans. A, Vol. 18 A, N. 11, Nov. 1987.

    Google Scholar 

  12. Ang A.H-S, Tang W.H., Probability Concepts in Engineering Planning and Design, vol. I. Basic Principles, J. Willey & Sons, New York, 1975.

    Google Scholar 

  13. Soong T.T., Probabilistic Modelling and Analysis in Science and Engineering, J. Willey Si Sons, New York, 1981.

    Google Scholar 

  14. Cox D.R., Miller H.D., The Theory of Stochastic Processes, Chapman & Hall, London, 1977.

    MATH  Google Scholar 

  15. Gumbel E.J., Statistic of Extremes, Columbia Univ. Press, New York, 1958.

    Google Scholar 

  16. Cramer H., Leadbetter M.R., Stationary and Related Stochastic Processes, Willey, New York, 1967.

    MATH  Google Scholar 

  17. Sobczyk K., Stochastic Differential Equations with Applications to Physics and Engineering, Kluwer Acad. Publ., Dordrecht, Boston, 1991.

    Google Scholar 

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© 1993 Springer-Verlag Wien

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Sobczyk, K. (1993). Stochastic Modelling of Fatigue: Methodical Background. In: Sobczyk, K. (eds) Stochastic Approach to Fatigue. International Centre for Mechanical Sciences, vol 334. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2622-6_1

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  • DOI: https://doi.org/10.1007/978-3-7091-2622-6_1

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82452-8

  • Online ISBN: 978-3-7091-2622-6

  • eBook Packages: Springer Book Archive

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