Probabilistic analysis of linear elastic cracked structures

M. R M Akramin, Abdulnaser Alshoaibi, M. S A Hadi, Ahmad Kamal Ariffin Mohd Ihsan, N. A N Mohamed

Research output: Contribution to journalArticle

12 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1795-1799
Number of pages5
JournalJournal of Zhejiang University: Science A
Volume8
Issue number11
DOIs
Publication statusPublished - Oct 2007

Fingerprint

Cracks
Fracture mechanics
Fracture toughness
Materials properties
Finite element method
Uncertainty
Monte Carlo simulation
Statistical Models

Keywords

  • Failure probability
  • First-order reliability methods
  • Linear elastic fracture mechanics
  • Probabilistic fracture mechanics

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Probabilistic analysis of linear elastic cracked structures. / Akramin, M. R M; Alshoaibi, Abdulnaser; Hadi, M. S A; Mohd Ihsan, Ahmad Kamal Ariffin; Mohamed, N. A N.

In: Journal of Zhejiang University: Science A, Vol. 8, No. 11, 10.2007, p. 1795-1799.

Research output: Contribution to journalArticle

Akramin, M. R M ; Alshoaibi, Abdulnaser ; Hadi, M. S A ; Mohd Ihsan, Ahmad Kamal Ariffin ; Mohamed, N. A N. / Probabilistic analysis of linear elastic cracked structures. In: Journal of Zhejiang University: Science A. 2007 ; Vol. 8, No. 11. pp. 1795-1799.
@article{76c4250687564aca81d6c082e16ab1b4,
title = "Probabilistic analysis of linear elastic cracked structures",
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.",
keywords = "Failure probability, First-order reliability methods, Linear elastic fracture mechanics, Probabilistic fracture mechanics",
author = "Akramin, {M. R M} and Abdulnaser Alshoaibi and Hadi, {M. S A} and {Mohd Ihsan}, {Ahmad Kamal Ariffin} and Mohamed, {N. A N}",
year = "2007",
month = "10",
doi = "10.1631/jzus.2007.A1795",
language = "English",
volume = "8",
pages = "1795--1799",
journal = "Journal of Zhejinag University: Science",
issn = "1009-3095",
publisher = "Zhejiang University Press",
number = "11",

}

TY - JOUR

T1 - Probabilistic analysis of linear elastic cracked structures

AU - Akramin, M. R M

AU - Alshoaibi, Abdulnaser

AU - Hadi, M. S A

AU - Mohd Ihsan, Ahmad Kamal Ariffin

AU - Mohamed, N. A N

PY - 2007/10

Y1 - 2007/10

N2 - 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.

AB - 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.

KW - Failure probability

KW - First-order reliability methods

KW - Linear elastic fracture mechanics

KW - Probabilistic fracture mechanics

UR - http://www.scopus.com/inward/record.url?scp=35748948930&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35748948930&partnerID=8YFLogxK

U2 - 10.1631/jzus.2007.A1795

DO - 10.1631/jzus.2007.A1795

M3 - Article

AN - SCOPUS:35748948930

VL - 8

SP - 1795

EP - 1799

JO - Journal of Zhejinag University: Science

JF - Journal of Zhejinag University: Science

SN - 1009-3095

IS - 11

ER -