We describe a method for calculating the crack tip stress intensity factors for the problem of one or two cracks at the apex of an arbitrary angle wedge. The kernels for a dislocation in an arbitrary angle wedge described in part 1 of this paper are used extensively. Consideration is given to variations of crack length, crack angle and wedge angle.
JohnsonKL. Contact mechanics. Cambridge: Cambridge University Press, 1987.
3.
DundursJLeeMS. Stress concentration at a sharp edge in contact problems. J Elast1972; 2(2): 109–112.
4.
HillsDADiniD. Characteristics of the process zone at sharp notch roots. Int J Solids Struct2011; 48(14–15): 2177–2183.
5.
ChurchmanCMHillsDA. Slip zone length at the edge of a complete contact. Int J Solids Struct2006; 43(7–8): 2037–2049.
6.
PaynterRJHillsDADiniD. Separation and slip at the edge of a complete contact: an asymptotic solution. Int J Solids Struct2010; 47(18–19): 2613–2619.
7.
ChurchmanCMHillsDA. The edge dislocation in a three-quarter plane. Part ii: application to an edge crack. Eur J Mech A Solids2006; 25(3): 389–396.
8.
HillsDAKellyPADaiDN, et al. Solution of crack problems: the distributed dislocation technique. Vol. 44. Dordrecht: Springer Science & Business Media, 2013.
9.
NowellDHillsDA. Open cracks at or near free edges. J Strain Anal Eng Des1987; 22(3): 177–185.
10.
WilliamsML. Stress singularities resulting from various boundary conditions in angular corners of plates in extension. J Appl Mech1952; 19(4): 526–528.
11.
BarberJR. Elasticity. New York, NY: Springer, 2010.
12.
ErdoganFGuptaGDCookT. Numerical solution of singular integral equations. In: SihGC (ed.) Methods of analysis and solutions of crack problems. Dordrecht: Springer, 1973, pp.368–425.
13.
KrenkS. On the use of the interpolation polynomial for solutions of singular integral equations. Q Appl Math1975; 32(4): 479–484.
14.
ChurchmanCMKorsunskyAMHillsDA. The edge dislocation in a three-quarter plane. Part i: influence functions. Eur J Mech A Solids2006; 25(1): 42–50.
15.
PhilippsAGKaruppananSChurchmanCM, et al. Crack tip stress intensity factors for a crack emanating from a sharp notch. Eng Fract Mech2008; 75(18): 5134–5139.