### Abstract

This paper presents a probabilistic approach for fracture mechanics analysis of cracked structures. The objective of this work is to calculate the rigidity of cracked structures based on failure probability. The methodology consists of cracked structures modelling, finite element analysis with adaptive mesh, sampling of cracked structure including uncertainties factors and probabilistic analysis using Monte Carlo method. Probabilistic analysis represents the priority of proceeding either suitable to repair the structures or it can be justified that the structures are still in safe condition. Therefore, the combination of finite element and probabilistic analysis represents the failure probability of the structures by operating the sampling of cracked structures process. The uncertainty of the crack size can produce a significant effect on the probability of failure, particularly for the crack size with large coefficient of variation. The probability of failure caused by uncertainties relates to loads and material properties of the structure are estimated using Monte Carlo simulation technique. Numerical example is presented to show that probabilistic analysis based on Monte Carlo simulation provides accurate estimates of failure probability. The comparisons of simulation result, analytical solution and relevant numerical results obtained from other previous works shows that the combination of finite element analysis and probabilistic analysis based on Monte Carlo simulation provides accurate estimation of failure probability.

Original language | English |
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Title of host publication | Advanced Materials Research |

Pages | 223-228 |

Number of pages | 6 |

Volume | 33-37 PART 1 |

Publication status | Published - 2008 |

Event | 7th International Conference on Fracture and Strength of Solids, FEOFS 2007 - Urumqi Duration: 27 Aug 2007 → 29 Aug 2007 |

### Publication series

Name | Advanced Materials Research |
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Volume | 33-37 PART 1 |

ISSN (Print) | 10226680 |

### Other

Other | 7th International Conference on Fracture and Strength of Solids, FEOFS 2007 |
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City | Urumqi |

Period | 27/8/07 → 29/8/07 |

### Fingerprint

### Keywords

- Failure probability
- Linear elastic fracture mechanics
- Probabilistic fracture mechanics

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Advanced Materials Research*(Vol. 33-37 PART 1, pp. 223-228). (Advanced Materials Research; Vol. 33-37 PART 1).

**Probabilistic analysis of cracked structures with uncertainty parameters.** / Mohd Ihsan, Ahmad Kamal Ariffin; Akramin, M. R M; Huzni, S.; Abdullah, Shahrum; Ghazali, Mariyam Jameelah.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Advanced Materials Research.*vol. 33-37 PART 1, Advanced Materials Research, vol. 33-37 PART 1, pp. 223-228, 7th International Conference on Fracture and Strength of Solids, FEOFS 2007, Urumqi, 27/8/07.

}

TY - GEN

T1 - Probabilistic analysis of cracked structures with uncertainty parameters

AU - Mohd Ihsan, Ahmad Kamal Ariffin

AU - Akramin, M. R M

AU - Huzni, S.

AU - Abdullah, Shahrum

AU - Ghazali, Mariyam Jameelah

PY - 2008

Y1 - 2008

N2 - This paper presents a probabilistic approach for fracture mechanics analysis of cracked structures. The objective of this work is to calculate the rigidity of cracked structures based on failure probability. The methodology consists of cracked structures modelling, finite element analysis with adaptive mesh, sampling of cracked structure including uncertainties factors and probabilistic analysis using Monte Carlo method. Probabilistic analysis represents the priority of proceeding either suitable to repair the structures or it can be justified that the structures are still in safe condition. Therefore, the combination of finite element and probabilistic analysis represents the failure probability of the structures by operating the sampling of cracked structures process. The uncertainty of the crack size can produce a significant effect on the probability of failure, particularly for the crack size with large coefficient of variation. The probability of failure caused by uncertainties relates to loads and material properties of the structure are estimated using Monte Carlo simulation technique. Numerical example is presented to show that probabilistic analysis based on Monte Carlo simulation provides accurate estimates of failure probability. The comparisons of simulation result, analytical solution and relevant numerical results obtained from other previous works shows that the combination of finite element analysis and probabilistic analysis based on Monte Carlo simulation provides accurate estimation of failure probability.

AB - This paper presents a probabilistic approach for fracture mechanics analysis of cracked structures. The objective of this work is to calculate the rigidity of cracked structures based on failure probability. The methodology consists of cracked structures modelling, finite element analysis with adaptive mesh, sampling of cracked structure including uncertainties factors and probabilistic analysis using Monte Carlo method. Probabilistic analysis represents the priority of proceeding either suitable to repair the structures or it can be justified that the structures are still in safe condition. Therefore, the combination of finite element and probabilistic analysis represents the failure probability of the structures by operating the sampling of cracked structures process. The uncertainty of the crack size can produce a significant effect on the probability of failure, particularly for the crack size with large coefficient of variation. The probability of failure caused by uncertainties relates to loads and material properties of the structure are estimated using Monte Carlo simulation technique. Numerical example is presented to show that probabilistic analysis based on Monte Carlo simulation provides accurate estimates of failure probability. The comparisons of simulation result, analytical solution and relevant numerical results obtained from other previous works shows that the combination of finite element analysis and probabilistic analysis based on Monte Carlo simulation provides accurate estimation of failure probability.

KW - Failure probability

KW - Linear elastic fracture mechanics

KW - Probabilistic fracture mechanics

UR - http://www.scopus.com/inward/record.url?scp=45749107851&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=45749107851&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:45749107851

SN - 0878493999

SN - 9780878493999

VL - 33-37 PART 1

T3 - Advanced Materials Research

SP - 223

EP - 228

BT - Advanced Materials Research

ER -