Probabilistic elastic-plastic analysis of cracked pipes subjected to internal pressure load

A probabilistic model was developed for predicting elastic-plastic fracture response and reliability of circumferentially cracked pipes under internal pressure load. For the elastic case, the results are in a good agreement with those in the literature. For elastic-plastic the effect of ratios (a/t), (σref/σy) and (Rm/t) are presented. The function of (J/Je) is obtained by interpolation of numerical results, the effect of the ratio (a/t), (σref/σy) and (Rm/t) becomes important for evaluating the J integral. 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 is important factors influencing on the distribution function of (J/Je).