Probabilistic Elastic-plastic Fracture Mechanics Analysis of Propagation of Cracks in Pipes under Internal Pressure

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Published Sep 23, 2020
DOI https://doi.org/10.3221/IGF-ESIS.54.15

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Belaïd Mechab
University of Djillali Liabes, Sidi Bel Abbes, Algeria
Mokadem Salem
University of Djillali Liabes, Sidi Bel Abbes, Algeria
Medjahdi Malika
University of Djillali Liabes, Sidi Bel Abbes, Algeria
Serier Boualem
University of Djillali Liabes, Sidi Bel Abbes, Algeria

Abstract

This study presents a three dimensional finite element method analysis of semi-elliptical surface cracks in pipes under internal pressure load. In the elastic–plastic case, estimates of the J-integral are presented for various ratios including crack depth to pipe thickness (a/t) and strain hardening index in the (R-O) Ramberg-Osgood (n).  Finally, failure probability is accessed by a statistical analysis for uncertainties in loads and material properties, and structural reliability and crack size. The Monte Carlo method is used to predict the distribution function of the mechanical response. According to the obtained results, we note that the stress variation and the crack size are important factors influencing on the distribution function of (J/Je).

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    Issue
    Vol. 14 No. 54 (2020): October 2020
    Section
    Fracture

    How to Cite

    Mechab, B. (2020) “Probabilistic Elastic-plastic Fracture Mechanics Analysis of Propagation of Cracks in Pipes under Internal Pressure”, Frattura ed Integrità Strutturale, 14(54), pp. 202–210. doi: 10.3221/IGF-ESIS.54.15.
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