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Stress intensity factors and weight functions for deep semi‐elliptical surface cracks in finite‐thickness plates
Author(s) -
Wang X.
Publication year - 2002
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 - 10.1046/j.1460-2695.2002.00502.x
Subject(s) - stress intensity factor , finite element method , materials science , stress (linguistics) , surface (topology) , geometry , intensity (physics) , weight function , stress concentration , finite thickness , surface stress , mathematics , composite material , mathematical analysis , structural engineering , mechanics , fracture mechanics , optics , physics , engineering , linguistics , philosophy
Three‐dimensional finite element analyses have been conducted to calculate the stress intensity factors for deep semi‐elliptical cracks in flat plates. The stress intensity factors are presented for the deepest and surface points on semi‐elliptic cracks with a/t ‐values of 0.9 and 0.95 and aspect ratios ( a/c ) from 0.05 to 2. Uniform, linear, parabolic or cubic stress distributions were applied to the crack face. The results for uniform and linear stress distributions were combined with corresponding results for surface cracks with a/t = 0.6 and 0.8 to derive weight functions over the range 0.05 ≤ a/c ≤ 2.0 and 0.6 ≤ a/t ≤ 0.95. The weight functions were then verified against finite element data for parabolic or cubic stress distributions. Excellent agreements are achieved for both the deepest and surface points. The present results complement stress intensity factors and weight functions for surface cracks in finite thickness plate developed previously.