A stochastic model of fatigue crack propagation under variable-amplitude loading

Asok Ray, Ravindra Patankar

    Research output: Contribution to journalArticle

    33 Citations (Scopus)

    Abstract

    This paper presents a stochastic model of fatigue crack propagation in ductile alloys that are commonly encountered in mechanical structures and machine components of complex systems (e.g. aircraft, spacecraft, ships and submarines, and power plants). The stochastic model is built upon a deterministic state-space model of fatigue crack propagation under variable-amplitude loading. The (non-stationary) statistic of the crack growth process for center-cracked specimens is obtained as a closed form solution of the stochastic differential equations. Model predictions are in agreement with experimental data for specimens fabricated from 2024-T3 and 7075-T6 aluminum alloys and Ti-6Al-4 V alloy subjected to constant-amplitude and variable-amplitude loading, respectively. The stochastic model of crack propagation can be executed in real time on an inexpensive platform such as a Pentium processor.

    Original languageEnglish (US)
    Pages (from-to)477-493
    Number of pages17
    JournalEngineering Fracture Mechanics
    Volume62
    Issue number4-5
    StatePublished - Mar 1 1999

    Fingerprint

    Stochastic models
    Fatigue crack propagation
    Crack propagation
    Machine components
    Spacecraft
    Large scale systems
    Aluminum alloys
    Power plants
    Ships
    Differential equations
    Aircraft
    Statistics

    All Science Journal Classification (ASJC) codes

    • Materials Science(all)
    • Mechanics of Materials
    • Mechanical Engineering

    Cite this

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    abstract = "This paper presents a stochastic model of fatigue crack propagation in ductile alloys that are commonly encountered in mechanical structures and machine components of complex systems (e.g. aircraft, spacecraft, ships and submarines, and power plants). The stochastic model is built upon a deterministic state-space model of fatigue crack propagation under variable-amplitude loading. The (non-stationary) statistic of the crack growth process for center-cracked specimens is obtained as a closed form solution of the stochastic differential equations. Model predictions are in agreement with experimental data for specimens fabricated from 2024-T3 and 7075-T6 aluminum alloys and Ti-6Al-4 V alloy subjected to constant-amplitude and variable-amplitude loading, respectively. The stochastic model of crack propagation can be executed in real time on an inexpensive platform such as a Pentium processor.",
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    A stochastic model of fatigue crack propagation under variable-amplitude loading. / Ray, Asok; Patankar, Ravindra.

    In: Engineering Fracture Mechanics, Vol. 62, No. 4-5, 01.03.1999, p. 477-493.

    Research output: Contribution to journalArticle

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