Probabilistic Description of Fatigue Crack Growth Under Constant-and Variable-Amplitude Loading

Abstract

This report is concerned with the description of the development and application of a stochastic crack growth model. It is built as a discontinuous Markov process and is inhomogeneous with respect to the number of cycles required for the crack to reach a specified crack length. The model is then used to describe the evolution of the crack length in terms of growth curves, each of whose points possess equal probability of advancing from one position to another forward position. The validity of the model is established by applying it to constant-as well as to variable amplitude loading. In those applications the theoretical constant probability crack growth curves generated by the model compared to those experimentally obtained using Al 7075-T6 and Al 2024-T3 material for constant-amplitude loading while Ti-6Al-4V was used in single overload application. Results of these comparisons indicate the ability of the proposed model when fitted with parameters whose values can be obtained from a limited numbers of experimental tests, to predict the crack growth statistics under different loading conditions. Keywords: Crack; Overload; Stochastic process; Retardation; Titanium alloy; Aluminum alloys; Vanadium.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1989
Accession Number
ADA208717

Entities

People

  • H. Ghonem
  • M. Zeng

Organizations

  • University of Rhode Island

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Aluminum Alloys
  • Computational Science
  • Crack Propagation
  • Geometry
  • Markov Processes
  • Materials
  • Mathematical Models
  • Measurement
  • Mechanical Engineering
  • Mechanics
  • Microscopes
  • Probabilistic Models
  • Probability Distributions
  • Random Variables
  • Statistical Distributions
  • Stochastic Processes

Readers

  • Computational Modeling and Simulation
  • Materials Science (Mechanical Engineering).
  • Structural Health Monitoring of Composite Structures.