Deterministic and probabilistic investigation on multiple crack interactions in a semi-infinite domain

Eui Keun Kim, Habeun Choi, Kyoungsoo Park, Won Hee Kang

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The investigation of multiple crack interactions in fracture mechanics is important to predict the safety and reliability of structures. This study aims to investigate the interactions of multiple parallel cracks in a semi-infinite domain in both deterministic and probabilistic ways by using an automated finite element modeling procedure and the Monte Carlo simulation. The stress intensity factor is considered as an indicator of failure and accurately evaluated by using the domain integral technique. The variation of the stress intensity factor according to the position, the length, and the number of cracks is demonstrated. In a probabilistic investigation, the effects of the number of cracks, the random distribution of the crack lengths, and the crack interactions to the failure probability are studied for a semi-infinite domain. The stress redistribution among multiple cracks, the effect of unevenly distributed crack lengths, and the combined effect of crack length uncertainties and a crack shielding effect have been examined.

Original languageEnglish
Article number305397
JournalMathematical Problems in Engineering
Volume2015
DOIs
Publication statusPublished - 2015 Jan 1

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Infinite Domain
Crack
Cracks
Interaction
Stress Intensity Factor
Stress intensity factors
Failure Probability
Fracture Mechanics
Finite Element Modeling
Integral domain
Redistribution
Fracture mechanics
Shielding
Monte Carlo Simulation
Safety
Uncertainty
Predict

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

Cite this

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abstract = "The investigation of multiple crack interactions in fracture mechanics is important to predict the safety and reliability of structures. This study aims to investigate the interactions of multiple parallel cracks in a semi-infinite domain in both deterministic and probabilistic ways by using an automated finite element modeling procedure and the Monte Carlo simulation. The stress intensity factor is considered as an indicator of failure and accurately evaluated by using the domain integral technique. The variation of the stress intensity factor according to the position, the length, and the number of cracks is demonstrated. In a probabilistic investigation, the effects of the number of cracks, the random distribution of the crack lengths, and the crack interactions to the failure probability are studied for a semi-infinite domain. The stress redistribution among multiple cracks, the effect of unevenly distributed crack lengths, and the combined effect of crack length uncertainties and a crack shielding effect have been examined.",
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Deterministic and probabilistic investigation on multiple crack interactions in a semi-infinite domain. / Kim, Eui Keun; Choi, Habeun; Park, Kyoungsoo; Kang, Won Hee.

In: Mathematical Problems in Engineering, Vol. 2015, 305397, 01.01.2015.

Research output: Contribution to journalArticle

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