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

P.E. Becher; Arne Pedersen

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 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.

Original language	English

Place of Publication	Roskilde, Denmark
Publisher	Risø National Laboratory
Number of pages	27
Publication status	Published - 1973

Series	Risø-M
Number	1650
ISSN	0418-6435

Keywords

Risø-M-1650

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Ris m 1650Final published version, 489 KB

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AB - 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.

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

PB - Risø National Laboratory

CY - Roskilde, Denmark

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