### Abstract

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.

Original language | English |
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Pages (from-to) | 907-916 |

Number of pages | 10 |

Journal | Fatigue and Fracture of Engineering Materials and Structures |

Volume | 20 |

Issue number | 6 |

Publication status | Published - 1997 |

### Keywords

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

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## Cite this

_{k}, L and M integrals.

*Fatigue and Fracture of Engineering Materials and Structures*,

*20*(6), 907-916.