[1] Ioakimidis, N.I., Application of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity, Acta Mechanica, 45(1982), 31-47.
[2] Bui, H.D., An integral equations method for solving the problems of a plane crack of arbitrary shape, J.Mech.Phys.Solids, 25 (1977), 29.
[3] Weaver, J., Three-dimensional crack analysis, Internat.J.Solids and Structures, 13 (1977), 321.
[4] Ioakimidis, N.I., Remarks on the Gaussian quadrature rule for finite-part integrals with a second order singularity, Comput.Metheds.Appl.Mech.Engrg., 69(1988), 325.
[5] Tsamasphyros, G.and G.Dimou, Gauss quadrature rule for finite part integrals, Internat.J.Numer.Methods.Engrg., 30(1990), 13-26.
[6] Kaya, A.C.and F.Erdogan, On the solution of singular integral equations with strongly singular kernels, Quart.Appl.Math., 415, 1(1987), 105.
[7] Sohn, G.H.and C.S.Hong, Application of singular integral equations to embedded planar crack problems in finite body, Boundary Element, C.A.Brebbia and G.Maier, Ed., 2(1985), 8-57.
[8] Tang, R.J., Two kinds of singular.integral equation in fracture mechanics, J.Shanghai Jiaotong University, 24, 5-6 (1990), 36.(in Chinese)
[9] Kutt, H.R., The numerical evaluation of principal value integrals by finite-part integration, Numer.Math., 24(1975), 205.
[10] Zienkiewicz, O.C., The Finite Element in Engineering Science, McGraw-Hill (1971).
[11] Sneddon, I.N.and M.Lowengrub, Crack Problems in the Classical Theory of Elasticity, New York (1969). |