### Abstract

This paper presents a probabilistic methodology for fracture mechanics analysis of cracked structures. The main focus is on probabilistic aspect which related 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 fracture parameter. When a crack is observed, the problem is to know whether it is suitable to repair the structure as a priority or if it can be justified that an accident will not occur. Therefore, the probabilistic analysis can provide the failure probability knowing that there is a crack and that the load can reach accidental values defined in a particular range. The probability of failure caused by uncertainties related to loads and material properties of the structure is estimated using Monte Carlo simulation technique. Numerical examples are presented to show that probabilistic methodology based on Monte Carlo simulation provides accurate estimates of failure probability for use in fracture mechanics.

Original language | English |
---|---|

Pages (from-to) | 1-8 |

Number of pages | 8 |

Journal | HKIE Transactions Hong Kong Institution of Engineers |

Volume | 15 |

Issue number | 2 |

Publication status | Published - 2008 |

### Fingerprint

### Keywords

- Finite Element Method
- Monte Carlo
- Probabilistic Fracture Mechanics
- Probability of Failure

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*HKIE Transactions Hong Kong Institution of Engineers*,

*15*(2), 1-8.

**Probabilistic finite element for fracture mechanics.** / Akramin, M. R M; Mohd Ihsan, Ahmad Kamal Ariffin; Alshoaibi, Abdulnaser; Hadi, M. S A; Huzni, Syifaul; Mohamed, Nan.

Research output: Contribution to journal › Article

*HKIE Transactions Hong Kong Institution of Engineers*, vol. 15, no. 2, pp. 1-8.

}

TY - JOUR

T1 - Probabilistic finite element for fracture mechanics

AU - Akramin, M. R M

AU - Mohd Ihsan, Ahmad Kamal Ariffin

AU - Alshoaibi, Abdulnaser

AU - Hadi, M. S A

AU - Huzni, Syifaul

AU - Mohamed, Nan

PY - 2008

Y1 - 2008

N2 - This paper presents a probabilistic methodology for fracture mechanics analysis of cracked structures. The main focus is on probabilistic aspect which related 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 fracture parameter. When a crack is observed, the problem is to know whether it is suitable to repair the structure as a priority or if it can be justified that an accident will not occur. Therefore, the probabilistic analysis can provide the failure probability knowing that there is a crack and that the load can reach accidental values defined in a particular range. The probability of failure caused by uncertainties related to loads and material properties of the structure is estimated using Monte Carlo simulation technique. Numerical examples are presented to show that probabilistic methodology based on Monte Carlo simulation provides accurate estimates of failure probability for use in fracture mechanics.

AB - This paper presents a probabilistic methodology for fracture mechanics analysis of cracked structures. The main focus is on probabilistic aspect which related 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 fracture parameter. When a crack is observed, the problem is to know whether it is suitable to repair the structure as a priority or if it can be justified that an accident will not occur. Therefore, the probabilistic analysis can provide the failure probability knowing that there is a crack and that the load can reach accidental values defined in a particular range. The probability of failure caused by uncertainties related to loads and material properties of the structure is estimated using Monte Carlo simulation technique. Numerical examples are presented to show that probabilistic methodology based on Monte Carlo simulation provides accurate estimates of failure probability for use in fracture mechanics.

KW - Finite Element Method

KW - Monte Carlo

KW - Probabilistic Fracture Mechanics

KW - Probability of Failure

UR - http://www.scopus.com/inward/record.url?scp=48249088969&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=48249088969&partnerID=8YFLogxK

M3 - Article

VL - 15

SP - 1

EP - 8

JO - Transactions Hong Kong Institution of Engineers

JF - Transactions Hong Kong Institution of Engineers

SN - 1023-697X

IS - 2

ER -