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Calculation of stress intensity factors for a longitudinal semi‐elliptical crack in a finite‐length thick‐walled cylinder
Author(s) -
NABAVI S. M.,
SHAHANI A. R.
Publication year - 2008
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/j.1460-2695.2007.01203.x
Subject(s) - stress intensity factor , cylinder , finite element method , geometry , materials science , weight function , intensity (physics) , stress (linguistics) , crack tip opening displacement , aspect ratio (aeronautics) , mechanics , mathematics , structural engineering , composite material , mathematical analysis , physics , optics , engineering , linguistics , philosophy
The purpose of this paper is to present the effect of finite boundary on the stress intensity factor of an internal semi‐elliptical crack in a pressurized finite‐length thick‐walled cylinder ( R i / t = 4) . The three‐dimensional finite element method, in conjunction with the weight function method, is used for computing the stress intensity factor at the deepest and surface points of an axial semi‐elliptical crack in a cylinder. The transition aspect ratios, the aspect ratios in which the maximum stress intensity factor translates from the deepest to the surface points of the crack, are calculated for different relative depths and cylinder lengths. The results show that the stress intensity factor increases as the cylinder length decreases, especially at the corner point of the crack compared with the deepest point. The major advantage of this paper is that a closed‐form expression is extracted for the stress intensity factor at the surface point of a semi‐elliptical crack, which experiences higher changes due to the effect of the finite boundary of the cylinder.