Probabilistic finite element for fracture mechanics

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

Research output: Contribution to journalArticle

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 1-8 8 HKIE Transactions Hong Kong Institution of Engineers 15 2 Published - 2008

Fingerprint

Fracture mechanics
Cracks
Materials properties
Fracture toughness
Accidents
Repair
Finite element method
Monte Carlo simulation
Uncertainty

Keywords

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

ASJC Scopus subject areas

• Engineering(all)

Cite this

Akramin, M. R. M., Mohd Ihsan, A. K. A., Alshoaibi, A., Hadi, M. S. A., Huzni, S., & Mohamed, N. (2008). Probabilistic finite element for fracture mechanics. 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.

In: HKIE Transactions Hong Kong Institution of Engineers, Vol. 15, No. 2, 2008, p. 1-8.

Research output: Contribution to journalArticle

Akramin, MRM, Mohd Ihsan, AKA, Alshoaibi, A, Hadi, MSA, Huzni, S & Mohamed, N 2008, 'Probabilistic finite element for fracture mechanics', HKIE Transactions Hong Kong Institution of Engineers, vol. 15, no. 2, pp. 1-8.
Akramin, M. R M ; Mohd Ihsan, Ahmad Kamal Ariffin ; Alshoaibi, Abdulnaser ; Hadi, M. S A ; Huzni, Syifaul ; Mohamed, Nan. / Probabilistic finite element for fracture mechanics. In: HKIE Transactions Hong Kong Institution of Engineers. 2008 ; Vol. 15, No. 2. pp. 1-8.
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