The Statistical Nature of Fatigue Crack Propagation

Abstract

A statistical investigation of the fatigue crack propagation process was conducted. Sixty-eight replicate constant amplitude crack propagation tests were conducted on 2024-T3 aluminum alloy. The following distributions were considered: two-parameter normal distribution, three-parameter log-normal distribution, three-parameter Weibull distribution, two-parameter gamma distribution, three-parameter gamma distribution, the generalized three- parameter gamma distribution, and the generalized four-parameter gamma distribution. From the experimental data, the distribution of N as a function of crack length was best represented by the three-parameter log-normal distribution. Six growth rate calculation methods were investigated and the method which introduced the least amount of error into the growth rate data was found to be a modified secant method. Based on the distribution of da/dN, which varied moderately as a function of crack length, replicate a vs. N data were predicted. This predicted data reproduced the mean behavior but not the variant behavior of the actual a vs. N data.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1977
Accession Number
ADA056912

Entities

People

  • B. M. Hillberry
  • D. A. Virkler
  • P. K. Goel

Organizations

  • Purdue University

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Algorithms
  • Chi Square Test
  • Computational Science
  • Computer Programs
  • Data Science
  • Engineering
  • Estimators
  • Geometry
  • Goodness Of Fit Tests
  • Information Science
  • Materials
  • Materials Science
  • Plastic Explosives
  • Random Variables
  • Statistical Algorithms
  • Statistical Analysis
  • Statistical Distributions

Readers

  • Aerosol Science/Aerosol Physics
  • Calculus or Mathematical Analysis
  • Materials Science (Mechanical Engineering).