The boussinesq wedge and the Jk, L and M integrals

G. M. Seed

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14 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)907-916
Number of pages10
JournalFatigue and Fracture of Engineering Materials and Structures
Issue number6
Publication statusPublished - 1997


  • Boussinesq wedge
  • Conservation integrals
  • Corner-loaded edge crack


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