Stochastic modeling of fatigue crack propagation

Asok Ray, Sekhar Tangirala, Shashi Phoha

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

This paper presents a stochastic model of fatigue-induced crack propagation in metallic materials. The crack growth rate predicted by the model is guaranteed to be non-negative. The model structure is built upon the underlying principle of Karhunen-Loève expansion and does not require solutions of stochastic differential equations in either Wiener integral or Itô integral setting. As such this crack propagation model can be readily adapted to damage monitoring and remaining life prediction of stressed structures. The model results have been verified by comparison with experimental data of time-dependent fatigue crack statistics for 2024-T3 and 7075-T6 aluminum alloys.

Original languageEnglish (US)
Pages (from-to)197-204
Number of pages8
JournalApplied Mathematical Modelling
Volume22
Issue number3
DOIs
StatePublished - Jan 1 1998

Fingerprint

Fatigue Crack Propagation
Stochastic Modeling
Fatigue crack propagation
Crack propagation
Crack Propagation
Stochastic models
Model structures
Wiener Integral
Life Prediction
Crack Growth Rate
Fatigue Crack
Aluminum alloys
Aluminum Alloy
Differential equations
Statistics
Fatigue of materials
Model
Fatigue
Stochastic Equations
Stochastic Model

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Applied Mathematics

Cite this

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Stochastic modeling of fatigue crack propagation. / Ray, Asok; Tangirala, Sekhar; Phoha, Shashi.

In: Applied Mathematical Modelling, Vol. 22, No. 3, 01.01.1998, p. 197-204.

Research output: Contribution to journalArticle

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