The problem of finding the crack tip stress intensity for an inclined edge crack in an elastic half-plane, subjected to a bulk compressive field, is solved. The technique is capable of finding solutions for very shallow cracks with friction present on the crack faces with accuracy, and in a computationally efficient manner.
Nemat-BasserS.HorriH.Compression-induced non-planar crack extension with application to splitting, exfoliation, and rockburstGeophys. Res., 10 August 1982, 87 (B8), 6805–6821.
2.
VaughanH.Crack propagation and the principal-tensile-stress criterion for mixed-mode loadingEngng Fracture Mechanics, 1998, 59 (3), 393–397.
3.
AshbyM. F.HallamS. D.The failure of brittle solids containing small cracks under compressive stress statesActa Metallurgica, 1986, 34 (3), 497–510.
4.
NowellD.HillsD. A.Open cracks at or near free edgesJ. Strain Analysis, 1987, 22 (3), 177–185.
5.
HillsD. A.KellyP. A.DaiD. N.KorsunskyA. M.Solution of Crack Problems: The Distributed Dislocation Technique, 1996 (Kluwer, Dordrecht).
6.
DewynneJ. N.HillsD. A.NowellD.Calculation of the opening displacement of surface-breaking plane cracksComput. Meth. Appl. Mechanics Engng, 1992, 97, 321–331.
7.
ErdoganF.GutpaG. D.CookT. S.Numerical solution of singular integral equations In Methods of Analysis and Solutions of Crack Problems (Ed. SihG. C.), 1973, pp. 368–425 (Noordhoff, Leyden).
8.
KrenkS.On the use of the interpolation polynomial for solutions of singular integral equationsQ. Appl. Math.1975, 32, 479–484.