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THE BOUSSINESQ WEDGE AND THE J k , L AND M INTEGRALS
Author(s) -
Seed G. M.
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.tb01534.x
Subject(s) - wedge (geometry) , physics , mathematical physics , mathematics , geometry , mathematical analysis
— This paper examines the application of the J k , L and M integrals, in complex‐variable form, to the Boussinesq wedge. The wedge is symmetrical and subjected to a point couple and point forces at the apex of the wedge. In the case of a point couple acting at the wedge apex the J y , L and M integrals are found to vanish for all wedge angles whereas J x displays a 1/ r 3 path‐dependence; where r is a radial dimension measured from the wedge apex. When the wedge is subjected to point forces at the wedge apex then J x and J y are 1/ r path‐dependent whereas L and M are path‐independent. The property that the L and M integrals are path‐independent for the Boussinesq wedge is applied to the problem of determining the modes I and II stress intensity factors for a corner‐loaded edge crack in a half‐plane subjected to both normal and parallel point forces to the free surface of the half‐plane.