A finite element alternating method for evaluation of stress intensity factors fpr part-circular cracks subjected to arbitrary loadings

C. Y. Liao, S. N. Atluri

Research output: Contribution to journalArticle

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Abstract

The stress intensity factor solution for embedded circular cracks, semicircular and part-circular surface cracks in plates, quartercircular corner cracks in rods, and semicircular surface cracks at a hole in a plate are evaluated using a finite element alternating method. This method of superposition employs the standard 20-noded solid element solution for the uncracked solid, and the complete analytical solution for an embedded circular crack in an infinite elastic medium, so that arbitrary pressures on the fracture surface can be modelled. The numerical results indicate that the alternating technique is quite cost efficient and effective. Convergence studies based on finite element meshes of 425 to 4499 nodes show that a good estimate of the stress intensity factor variation along the flaw border can be obtained with the coarsest mesh. Also, the natural-basis influence functions for a fixed crack and boundary geometry can be efficiently derived by the alternating process, to extract stress intensity factors for multiple loading problems.

Original languageEnglish
Pages (from-to)1253-1270
Number of pages18
JournalComputer Methods in Applied Mechanics and Engineering
Volume91
Issue number1-3
DOIs
StatePublished - Oct 1991

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