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Study of Three Reliability Methods for Fatigue Crack Growth

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Probabilistic Structural Mechanics: Advances in Structural Reliability Methods

Abstract

In this paper, three reliability methods are presented to solve general fatigue crack growth problems: the first order approximation method (FAM), the Lagrange multiplier formulation (LMF) and a Monte Carlo Simulation (MCS) with exact sampling technique. With the help of the exact sampling technique used in MCS, we are able to determine the extremely low probabilities of failure efficiently and with high accuracy. A comparison of the three methods shows that the LMF is the most efficient method to solve the fatigue crack growth reliability problem. It is also shown that the crack growth direction law plays an important role in the curvilinear crack propagation problem.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Northwestern University, Evanston, IL, 60208, USA

    W. K. Liu, Y. Chen & T. Belytschko

  2. Southeast Division, Applied Research Associates, Inc., Raleigh, NC, 27615, USA

    Y. J. Lua

Authors
  1. W. K. Liu
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  2. Y. J. Lua
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  3. Y. Chen
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  4. T. Belytschko
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Editor information

Editors and Affiliations

  1. L. B. Ryon Chair in Engineering, Rice University, P. O. Box 1892, Houston, TX, 77251, USA

    Pol D. Spanos

  2. Southwest Research Institute, 6220 Culebra Road, San Antonio, TX, 78228, USA

    Y.-T. Wu

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© 1994 Springer-Verlag, Berlin Heidelberg

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Liu, W.K., Lua, Y.J., Chen, Y., Belytschko, T. (1994). Study of Three Reliability Methods for Fatigue Crack Growth. In: Spanos, P.D., Wu, YT. (eds) Probabilistic Structural Mechanics: Advances in Structural Reliability Methods. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85092-9_20

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  • DOI: https://doi.org/10.1007/978-3-642-85092-9_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-85094-3

  • Online ISBN: 978-3-642-85092-9

  • eBook Packages: Springer Book Archive

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