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 K_{IC}). The probability of failure is the joint probability that there exists a crack (i.e. K_{I}) greater than a given crack (i.e. K) and that the critical crack (i.e. K_{IC}) is smaller than the same crack, where K_{I} and K_{IC} are considered for same time and location. K_{IC} as well as K_{I} 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.

Place of Publication | Roskilde, Denmark |
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Publisher | Risø National Laboratory |
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Number of pages | 27 |
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Publication status | Published - 1973 |
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Series | Risø-M |
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Number | 1650 |
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ISSN | 0418-6435 |
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