A numerical analysis of cracks emanating from an elliptical hole in a 2-D elasticity plate

Bowie, 1956, Analysis of an infinite plate containing radial cracks originating at the boundary of an internal circular hole, J, Math. Phys., 35, 60, 10.1002/sapm195635160 Crouch, 1983 Isida, 1980, Edge cracks originating from an elliptical hole in a wide plate subjected to tension and in-plane shear, Trans. Japan Soc. Mech. Engrg., 46, 947, 10.1299/kikaia.46.947 Murakami, 1978, A method of stress intensity factor calculation for the crack emanating from an arbitrarily shaped hole or the crack in the vicinity of an arbitrarily shape hole, Trans. Japan Soc. Mech. Engrg., 44, 423, 10.1299/kikai1938.44.423 Murakami, 1987 Newman, J.C. Jr., 1971. An improved method of collocation for the stress analysis of cracked plates with various shaped boundaries, NASA TN, D-6376, pp. 1–45 Pan, 1997, A general boundary element analysis of 2-D linear elastic fracture mechanics, Int. J. Fracture, 88, 41, 10.1023/A:1007462319811 Scavia, 1992, A numerical technique for the analysis of cracks subjected to normal compressive stresses, Int. J. Numer. Methods Engrg., 33, 929, 10.1002/nme.1620330504 Tweed, 1973, The distribution of stress near the tip of a radial crack at the edge of a circular hole, Int. J. Engrg. Sci., 11, 1185, 10.1016/0020-7225(73)90084-0 Yan, 2003, Analysis of the interference effect of arbitrary multiple parabolic cracks in plane elasticity by using a new boundary element method, Comput. Methods Appl. Mech. Engrg., 192, 5099, 10.1016/j.cma.2003.07.002 Yan, 2004, A crack tip displacement discontinuity element, Mech. Res. Commun., 31, 651, 10.1016/j.mechrescom.2004.05.001 Yan, 2005, Stress intensity factors for asymmetric branched cracks in plane extension by using crack-tip displacement discontinuity elements, Mech. Res. Commun., 32, 375, 10.1016/j.mechrescom.2004.10.005 Yan, X., A numerical analysis of stress intensity factors at bifurcated cracks, Engrg. Failure Anal., in press