References
- Brebbia, C.A., Telles, J.C.F. and Wrobel, L.C. (1984), Boundary Element Techniques - Theory and Applications in Engineering, Springer, Heidelberg.
- Chen, J.T. and Hong, H.K. (1999), "Review of dual boundary element methods with emphasis on hypersingular integrals and divergent series", ASME Appl. Mech. Rev., 52, 17-33. https://doi.org/10.1115/1.3098922
- Chen, J.T. and Chen, Y.W. (2004), "Dual boundary element analysis using complex variables for potential problems with or without a degenerate boundary", Eng. Anal. Boun. Elem., 24, 671-684.
- Chen, J.T., Shen, W.C. and Wu, A.C. (2006), "Null-field integral equations for stress field around circular holes under antiplane shear", Eng. Anal. Boun. Elem., 30, 205-217. https://doi.org/10.1016/j.enganabound.2005.08.013
- Chen, J.T. and Wu, A.C. (2007), "Null-field integral equation approach for the multi-inclusion problem under antiplane shears", ASME J. Appl. Mech., 74, 469-487. https://doi.org/10.1115/1.2338056
- Chen, J.T., Lee, Y.T. and Chou, K.S. (2010), "Revisit of two classical elasticity problems by using the null-field integral equations", J. Mech., 26, 393-401. https://doi.org/10.1017/S1727719100003956
- Chen, Y.Z. (1985), "A special boundary element formulation for multiple circular hole problems in an infinite plate", Comput. Meth. Appl. Mech. Eng., 50, 263-273. https://doi.org/10.1016/0045-7825(85)90096-9
- Chen, Y.Z. and Lin, X.Y. (2007), "Solution of periodic group circular hole problems by using the series expansion variational method", Int. J. Numer. Meth. Eng., 69, 1405-1422. https://doi.org/10.1002/nme.1812
- Chen, Y.Z., Wang, Z.X. and Li, F.L. (2008), "Periodic group edge crack problem of half-plane in antiplane elasticity", Commun. Numer. Meth. Eng., 24, 833-840.
- Chen Y.Z., Wang, Z.X. and Lin, X.Y. (2009), "A new kernel in BIE and the exterior boundary value problem in plane elasticity", Acta Mech., 206, 207-224. https://doi.org/10.1007/s00707-008-0088-5
- Chen, Y.Z., Lin, X.Y. and Wang, Z.X. (2010), "Formulation of indirect BIEs in plane elasticity using single or double layer potentials and complex variable", Eng. Anal. Boun. Elem., 34, 337-351. https://doi.org/10.1016/j.enganabound.2009.10.009
- Cheng, A.H.D. and Cheng, D.S. (2005), "Heritage and early history of the boundary element method", Eng. Anal. Boun. Elem., 29, 286-302.
- Cruse, T.A. (1969), "Numerical solutions in three-dimensional elastostatics", Inter. J. Solids Struct., 5, 1259-1274. https://doi.org/10.1016/0020-7683(69)90071-7
- Hong, H.K. and Chen, J.T. (1988), "Derivations of integral equations of elasticity", J. Eng. Mech. 114, 1028-1044. https://doi.org/10.1061/(ASCE)0733-9399(1988)114:6(1028)
- Horii, H. and Nemat-Nassar, S. (1985), "Elastic fields of interacting inhomogeneities", Int. J. Solids Struct., 21, 731-745. https://doi.org/10.1016/0020-7683(85)90076-9
- Hromadka, T.V. (1987), The Complex Variable Boundary Element Method in Engineering Analysis, Springer, New York.
- Isida, M. and Igawa, H. (1991), "Analysis of a zig-zag array of circular holes in an infinite solid under uniaxial tension", Int. J. Solids Struct., 27, 849-864. https://doi.org/10.1016/0020-7683(91)90020-G
- Jaswon, M.A. and Symm, G.T. (1967), Integral Equation Methods in Potential Theory and Elastostatics, Academic Press, London.
- Linkov, A.M. (2002), Boundary Integral Equations in Elasticity, Kluwer, Dordrecht.
- Muskhelishvili, N.I. (1953), Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff, The Netherlands.
- Rizzo, F.J. (1967), "An integral equation approach to boundary value problems in classical elastostatics", Quart. J. Appl. Math., 25, 83-95. https://doi.org/10.1090/qam/99907
- Ting, K., Chen, K.T. and Yang, W.S. (1999), "Stress analysis of the multiple circular holes with the rhombic array using alternating method", Inter. J. Pres. Ves. Pip., 76, 503-514. https://doi.org/10.1016/S0308-0161(99)00022-8
- Tsukrov, I. and Kachanov, M. (1997), "Stress concentrations and microfracturing patterns in a brittle-elastic solid with interacting pores of diverse shapes", Int. J. Solids Struct., 34, 2887-2904. https://doi.org/10.1016/S0020-7683(96)00202-8
- Wang, J.L., Crouch, S.L. and Mogilevskaya, S.G. (2003), "A complex boundary integral for multiple circular holes in an infinite plane", Eng. Anal. Boun. Elem., 27, 789-802. https://doi.org/10.1016/S0955-7997(03)00043-2
Cited by
- An iteration approach for multiple notch problem based on complex variable boundary integral equation vol.41, pp.5, 2012, https://doi.org/10.12989/sem.2012.41.5.591
- Boundary integral equation method for periodic dissimilar elastic inclusions in an infinite plate vol.218, pp.17, 2012, https://doi.org/10.1016/j.amc.2012.02.021