Application of statistical linear elastic fracture mechanics to pressure vessel reliability analysis

P.E. Becher, Arne Pedersen

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    Abstract

    An evaluation of the failure probability for a pressure vessel is made on the basis of LEFM (Linear Elastic Fracture Mechanics). Failure is identified by actual crack length (i.e. plain strain fracture toughness KIC). The probability of failure is the joint probability that there exists a crack (i.e. KI) greater than a given crack (i.e. K) and that the critical crack (i.e. KIC) is smaller than the same crack, where KI and KIC are considered for same time and location. KIC as well as KI are treated as statistical variables with probability density functions, which are functions of material, intitial cracks, stresses and crack growth. The integrated calculations of failure probability are performed by a computer program utilizing the Monte Carlo method with importance sampling.
    Original languageEnglish
    Place of PublicationRoskilde, Denmark
    PublisherRisø National Laboratory
    Number of pages27
    Publication statusPublished - 1973
    SeriesRisø-M
    Number1650
    ISSN0418-6435

    Keywords

    • Risø-M-1650

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