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Weight functions and Stress Intensity Magnification factors for elliptical and semi‐elliptical cracks under variable normal stress – Part II
Author(s) -
Huget W.,
Reddemann T.,
Grüter L.
Publication year - 1984
Publication title -
materialwissenschaft und werkstofftechnik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.285
H-Index - 38
eISSN - 1521-4052
pISSN - 0933-5137
DOI - 10.1002/mawe.19840150203
Subject(s) - stress intensity factor , ellipse , weight function , magnification , materials science , surface (topology) , stress (linguistics) , geometry , point (geometry) , mathematical analysis , mathematics , composite material , fracture mechanics , optics , physics , linguistics , philosophy
Surface cracks under peak stresses are investigated. The calculational procedure is based on the general form of the weight function for an elliptical crack embedded in an infinite solid. Two points on the contour of the ellipse are investigated. A new correction procedure for transfer from the embedded crack to surface crack configurations is presented, which is valid for all a/t‐values. Weight functions for both points have been found with the crack aspect ratio a/c as parameter. For the point at the end of the minor axis all weight functions for embedded cracks are describable by one equation only (using Heuman's lambda function). For various a/c‐ratios of the surface crack under different stress distributions the stress intensity magnification factors are given.