# Probabilistic analysis of cracked structures with uncertainty parameters

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

### 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 Advanced Materials Research 223-228 6 33-37 PART 1 Published - 2008 7th International Conference on Fracture and Strength of Solids, FEOFS 2007 - UrumqiDuration: 27 Aug 2007 → 29 Aug 2007

### Publication series

Name Advanced Materials Research 33-37 PART 1 10226680

### Other

Other 7th International Conference on Fracture and Strength of Solids, FEOFS 2007 Urumqi 27/8/07 → 29/8/07

### Fingerprint

Sampling
Cracks
Finite element method
Fracture mechanics
Rigidity
Uncertainty
Materials properties
Repair
Monte Carlo methods
Monte Carlo simulation

### Keywords

• Failure probability
• Linear elastic fracture mechanics
• Probabilistic fracture mechanics

### ASJC Scopus subject areas

• Engineering(all)

### Cite this

Mohd Ihsan, A. K. A., Akramin, M. R. M., Huzni, S., Abdullah, S., & Ghazali, M. J. (2008). Probabilistic analysis of cracked structures with uncertainty parameters. In Advanced Materials Research (Vol. 33-37 PART 1, pp. 223-228). (Advanced Materials Research; Vol. 33-37 PART 1).
Advanced Materials Research. Vol. 33-37 PART 1 2008. p. 223-228 (Advanced Materials Research; Vol. 33-37 PART 1).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mohd Ihsan, AKA, Akramin, MRM, Huzni, S, Abdullah, S & Ghazali, MJ 2008, Probabilistic analysis of cracked structures with uncertainty parameters. in 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.
Mohd Ihsan AKA, Akramin MRM, Huzni S, Abdullah S, Ghazali MJ. Probabilistic analysis of cracked structures with uncertainty parameters. In Advanced Materials Research. Vol. 33-37 PART 1. 2008. p. 223-228. (Advanced Materials Research).
Mohd Ihsan, Ahmad Kamal Ariffin ; Akramin, M. R M ; Huzni, S. ; Abdullah, Shahrum ; Ghazali, Mariyam Jameelah. / Probabilistic analysis of cracked structures with uncertainty parameters. Advanced Materials Research. Vol. 33-37 PART 1 2008. pp. 223-228 (Advanced Materials Research).
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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.

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