Stochastic modeling of fatigue crack damage for risk analysis and remaining life prediction

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    12 Citations (Scopus)

    Abstract

    This paper presents a stochastic model of fatigue crack damage in metallic materials that are commonly encountered in structures and machinery components of complex mechanical systems (e.g., aircraft, spacecraft, and power plants). The constitutive equation of the damage model is based on the physics of fracture mechanics and is validated by Karhunen-Loeve analysis of test data. The (nonstationary) probability distribution function (PDF) of fatigue crack damage is generated in a closed form without numerically solving stochastic differential equations in the Wiener integral or ltd integral setting. The crack damage model thus allows real-time execution of decision algorithms for risk assessment and life prediction on inexpensive platforms such as a Pentium processor. The model predictions are in close agreement with experimental data of fatigue crack growth statistics for 2024-T3 and 7075-T6 aluminum alloys.

    Original languageEnglish (US)
    Pages (from-to)386-393
    Number of pages8
    JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
    Volume121
    Issue number3
    DOIs
    StatePublished - Jan 1 1999

    Fingerprint

    Risk analysis
    cracks
    damage
    predictions
    Stochastic models
    Constitutive equations
    Fatigue crack propagation
    Fracture mechanics
    Risk assessment
    Probability distributions
    Machinery
    Distribution functions
    risk assessment
    fracture mechanics
    Spacecraft
    probability distribution functions
    Aluminum alloys
    Power plants
    machinery
    constitutive equations

    All Science Journal Classification (ASJC) codes

    • Control and Systems Engineering
    • Information Systems
    • Instrumentation
    • Mechanical Engineering
    • Computer Science Applications

    Cite this

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    abstract = "This paper presents a stochastic model of fatigue crack damage in metallic materials that are commonly encountered in structures and machinery components of complex mechanical systems (e.g., aircraft, spacecraft, and power plants). The constitutive equation of the damage model is based on the physics of fracture mechanics and is validated by Karhunen-Loeve analysis of test data. The (nonstationary) probability distribution function (PDF) of fatigue crack damage is generated in a closed form without numerically solving stochastic differential equations in the Wiener integral or ltd integral setting. The crack damage model thus allows real-time execution of decision algorithms for risk assessment and life prediction on inexpensive platforms such as a Pentium processor. The model predictions are in close agreement with experimental data of fatigue crack growth statistics for 2024-T3 and 7075-T6 aluminum alloys.",
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