Premium
AN ANALYSIS FOR THREE DIMENSIONAL CRACKS
Author(s) -
ISIDA M.,
TSURU H.,
NOGUCHI H.
Publication year - 1994
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.1460-2695.1994.tb00805.x
Subject(s) - surface (topology) , plane (geometry) , materials science , bending , structural engineering , stress (linguistics) , body force , mechanics , geometry , mathematical analysis , mathematics , composite material , engineering , physics , linguistics , philosophy
— A new method of analysis is proposed for an infinite solid containing an embedded plane crack of arbitrary shape. The analysis is fundamentally based on the body force method, but proper expressions of the body force densities are introduced and the stress conditions of the crack surface are replaced by the resultant force conditions in order to improve the accuracy and validity of the method. Numerical results for typical crack problems, based on coarse mesh patterns, are shown to be in remarkable agreement with known solutions. The method is also applied to the bending of circular and rectangular cracks generated from compressive surface contacts for which reliable solutions have not yet been proposed by any other methods. The results are found to be very different from conventional free‐surface solutions.