Abstract
Abstract— This paper examines the application of the Jk, 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 Jy, L and M integrals are found to vanish for all wedge angles whereas Jx displays a 1/r3 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 Jx and Jy 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.
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