A Probability Model for Initial Crack Size and Fatigue Life of Gun Barrels.

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, a simple probability model for the initial crack size is proposed 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. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1976
Accession Number
ADA038243

Entities

People

  • Frank Proschan
  • Jayaram Sethuraman

Organizations

  • Florida State University

Tags

Communities of Interest

  • C4I
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Fatigue Life
  • Gun Barrels
  • Guns
  • Mechanics
  • Military Research
  • Modulus Of Elasticity
  • Pressure Vessels
  • Probability
  • Probability Distributions
  • Random Variables
  • Residual Stress
  • Stress Intensity Factors
  • Stresses
  • Universities
  • Yield Strength

Fields of Study

  • Engineering

Readers

  • Statistical inference.
  • Structural Health Monitoring of Composite Structures.
  • ballistics.