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CLC number: R683

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Received: 2007-02-10

Revision Accepted: 2007-06-23

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Cited: 8

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Journal of Zhejiang University SCIENCE A 2007 Vol.8 No.11 P.1795~1799

http://doi.org/10.1631/jzus.2007.A1795


Probabilistic analysis of linear elastic cracked structures


Author(s):  AKRAMIN M.R.M., ALSHOAIBI Abdulnaser, HADI M.S.A., ARIFFIN A.K., MOHAMED N.A.N.

Affiliation(s):  Department of Mechanical and Materials Engineering, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor Darul Ehsan, Malaysia

Corresponding email(s):   md_akramin@yahoo.com

Key Words:  Probabilistic fracture mechanics, Linear elastic fracture mechanics, Failure probability, First-order reliability methods


AKRAMIN M.R.M., ALSHOAIBI Abdulnaser, HADI M.S.A., ARIFFIN A.K., MOHAMED N.A.N.. Probabilistic analysis of linear elastic cracked structures[J]. Journal of Zhejiang University Science A, 2007, 8(11): 1795~1799.

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A1 - ALSHOAIBI Abdulnaser
A1 - HADI M.S.A.
A1 - ARIFFIN A.K.
A1 - MOHAMED N.A.N.
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DOI - 10.1631/jzus.2007.A1795


Abstract: 
This paper presents a probabilistic methodology for linear fracture mechanics analysis of cracked structures. The main focus is on probabilistic aspect related to the nature of crack in material. The methodology involves finite element analysis; statistical models for uncertainty in material properties, crack size, fracture toughness and loads; and standard reliability methods for evaluating probabilistic characteristics of linear elastic fracture parameter. The uncertainty in the crack size can have a significant effect on the probability of failure, particularly when the crack size has a large coefficient of variation. Numerical example is presented to show that probabilistic methodology based on Monte Carlo simulation provides accurate estimates of failure probability for use in linear elastic fracture mechanics.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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[8] Rahman, S., 2001. Probabilistic fracture mechanics: J-estimation and finite element methods. Engineering Fracture Mechanics, 68(1):107-125.

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[10] Soong, T.T., 2004. Fundamentals of Probability and Statistics for Engineers. John Wiley & Sons, West Sussex.

[11] Tada, H., Paris, P.C., Irwin, G.R., 2000. The Stress Analysis of Cracks (Handbook). ASME Press, New York.

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