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Probabilistic analysis of linear elastic cracked structures
作者姓名:AKRAMIN  M.R.M  ALSHOAIBI  Abdulnaser  HADI  M.S.A.  ARIFFIN  A.K.  MOHAMED  N.A.N.
作者单位:Department of Mechanical and Materials Engineering Universiti Kebangsaan Malaysia Bangi 43600 Selangor Darul Ehsan Malaysia,Department of Mechanical and Materials Engineering Universiti Kebangsaan Malaysia Bangi 43600 Selangor Darul Ehsan Malaysia,Department of Mechanical and Materials Engineering Universiti Kebangsaan Malaysia Bangi 43600 Selangor Darul Ehsan Malaysia,Department of Mechanical and Materials Engineering Universiti Kebangsaan Malaysia Bangi 43600 Selangor Darul Ehsan Malaysia,Department of Mechanical and Materials Engineering Universiti Kebangsaan Malaysia Bangi 43600 Selangor Darul Ehsan Malaysia
摘    要: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; sta- tistical 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 prob- ability for use in linear elastic fracture mechanics.

关 键 词:概率断裂力学  线性弹性断口  失效概率  可靠性方法
收稿时间:10 February 2007
修稿时间:2007-02-10

Probabilistic analysis of linear elastic cracked structures
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,2007,8(11):1795-1799.
Authors:Akramin M R M  Alshoaibi Abdulnaser  Hadi M S A  Ariffin A K  Mohamed N A N
Institution:(1) Department of Mechanical and Materials Engineering, Universiti Kebangsaan Malaysia, Bangi, 43600, Selangor Darul Ehsan, Malaysia
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; sta- tistical 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 prob- ability for use in linear elastic fracture mechanics.
Keywords:Probabilistic fracture mechanics  Linear elastic fracture mechanics  Failure probability  First-order reliability methods
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