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A probability model for initial crack size and fatigue life of gun barrels

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  • F. Proschan
  • J. Sethuraman

Abstract

With constant firing, metal fatigue produces cracks in a gun barrel. The useful life of the barrel comes to an end when a crack develops to a critical size. The theory of Fracture Mechanics suggests a formula for crack size growth rate. This formula can be used to determine the life of a barrel, depending on the initial and critical crack sizes and other factors. The initial crack size turns out to be a dominant factor. Unfortunately, accurate measurements are not generally available on the initial crack size. In this paper, we propose a simple probability model for the initial crack size and this, in turn, leads to a probability distribution of the life of the barrel. This last distribution is the well‐known exponential distribution with a location shift. The simplicity of this final result is one of the factors that make the model appealing.

Suggested Citation

  • F. Proschan & J. Sethuraman, 1978. "A probability model for initial crack size and fatigue life of gun barrels," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 25(2), pages 273-277, June.
    • Handle: RePEc:wly:navlog:v:25:y:1978:i:2:p:273-277
    DOI: 10.1002/nav.3800250207
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    Cited by:

    1. W. J. Padgett & S. D. Durham, 1989. "A model for critical crack size estimation in fatigue failure of gun barrels," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(2), pages 139-145, April.

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