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COMPLEX STRESS FUNCTIONS AND PLASTIC ZONE SIZES FOR NOTCH CRACKS SUBJECTED TO VARIOUS LOADING CONDITIONS
Author(s) -
Youshi Hong,
Miller K. J.,
Brown M. W.
Publication year - 1991
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.1460-2695.1991.tb00656.x
Subject(s) - conformal map , materials science , yield (engineering) , boundary (topology) , plane (geometry) , stress (linguistics) , geometry , stress intensity factor , structural engineering , stress concentration , composite material , mathematical analysis , mathematics , fracture mechanics , engineering , linguistics , philosophy
In this paper, the conformal mapping method is used to solve the plane problem of an infinite plate containing a central lip‐shaped notch subjected to biaxial loading at a remote boundary or a surface uniform pressure on the notch. The stress intensity factors K I and K II are obtained by the derived complex stress functions. The simple analytical expressions can be applied to the situation of cracks originating from a circular or an elliptical notch. The plastic zone sizes for such notch cracks are subsequently evaluated in light of the Dugdale strip yield concept. The results are consistent with available numerical data.