The state of stress is deduced for an edge dislocation present in a semi-infinite wedge. Particular attention is paid to the case when both the dislocation and the observation point lie on a projection line from one of the free surfaces, permitting the solution to be used as a strain nucleus when solving for local slip and separation conditions at the edge of a complete frictional contact. The solution has obvious further application to edge cracks between bonded components.
ChurchmanC. M.HillsD. A.Slip zone length at the edge of a complete contact. Int. J. Solids Structs, 2006, 43, 2037–2049.
2.
KaruppananS.ChurchmanC. M.HillsD. A.GinerE.Sliding frictional contact between a square block and an elastically similar half-plane. Eur. J. Mechanics — A/Solids, 2008, 27, 443–459.
3.
ZhangT. Y.TongP.OuyangH.LeeS.Interaction of an edge dislocation with a wedge crack. J. Appl. Phys., 1995, 78(8), 4783–4880.
4.
XiaoZ. M.ChenB. J.FanH.An edge dislocation interacting with a wedge-shaped bimaterial interface. Int. J. Solids Structs, 2001, 38, 8219–8233.
5.
ChurchmanC. M.KorsunskyA. M.HillsD. A.The edge dislocation in a three-quarter plane — Part I: Influence functions. Eur. J. Mechanics — A/Solids, 2006, 25, 42–50.
6.
WilliamsM. L.Stress singularities resulting from various boundary conditions in angular corners of plates in extension. J. Appl. Mechanics, 1952, 19, 526–528.
7.
HillsD. A.KellyP. A.DaiD. N.KorsunskyA. M.Solution of crack problems — The distributed dislocation technique, 1996 (Kluwer, Dordrecht).
