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STRESS INTENSITY FACTORS AND WEIGHT FUNCTIONS FOR SEMI‐ELLIPTICAL SURFACE CRACKS IN FINITE‐THICKNESS PLATES UNDER TWO‐DIMENSIONAL STRESS DISTRIBUTION
Author(s) -
Wang X.,
Lambert S. B.
Publication year - 1997
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.1460-2695.1997.tb01517.x
Subject(s) - stress intensity factor , materials science , stress (linguistics) , finite element method , weight function , surface (topology) , intensity (physics) , range (aeronautics) , stress concentration , geometry , mathematics , composite material , mathematical analysis , structural engineering , fracture mechanics , optics , physics , engineering , linguistics , philosophy
— A Fourier series approach is proposed to calculate stress intensity factors using weight functions for semi‐elliptical surface cracks in flat plates subjected to two‐dimensional stress distributions. The weight functions were derived from reference stress intensity factors obtained by three‐dimensional finite element analyses. The close form weight functions derived are suitable for the calculation of stress intensity factors for semi‐elliptical surface cracks in flat plates under two‐dimensional stress distributions with the crack aspect ratio in the range of 0.1 ≤ a/c ≤ 1 and relative depth in the range of 0 ≤ a/t ≤ 0.8. Solutions were verified using several two‐dimensional non‐linear stress distributions; the maximum difference being 6%.