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Volumn 34, Issue 2, 1997, Pages 203-221

Evaluation of hypersingular integrals in the boundary element method by complex variable techniques

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; INTEGRATION; POLES AND ZEROS;

EID: 0030736751     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(96)00004-2     Document Type: Article
Times cited : (20)

References (35)
  • 1
    • 0023311511 scopus 로고
    • Weighted Gaussian methods for three dimensional boundary element kernel integration
    • Aliabadi, M. H. and Hall, W. S. (1987). Weighted Gaussian methods for three dimensional boundary element kernel integration. Comm. Appl. Num. Meth. 3, 89-96.
    • (1987) Comm. Appl. Num. Meth. , vol.3 , pp. 89-96
    • Aliabadi, M.H.1    Hall, W.S.2
  • 2
    • 0040954073 scopus 로고
    • Regular boundary integral equations for three-dimensional finite or infinite bodies with or without curved cracks in elastodynamics
    • eds C. A. Brebbia and N. Zamani, Computational Mechanics Publications, Southampton, U.K.
    • Bonnet, M. (1989). Regular boundary integral equations for three-dimensional finite or infinite bodies with or without curved cracks in elastodynamics. In Boundary Element Techniques: Applications in Engineering (eds C. A. Brebbia and N. Zamani), pp. 171-188. Computational Mechanics Publications, Southampton, U.K.
    • (1989) Boundary Element Techniques: Applications in Engineering , pp. 171-188
    • Bonnet, M.1
  • 3
    • 0001922346 scopus 로고
    • Regularization of the displacement and traction BIE for 3D elastodynamics using indirect methods
    • eds J. H. Kane, G. Maier, N. Tosaka and S. N. Atluri, Springer-Verlag, Berlin, Heidelberg
    • Bonnet, M. and Bui, H. D. (1993). Regularization of the displacement and traction BIE for 3D elastodynamics using indirect methods. In Advances in Boundary Element Techniques (eds J. H. Kane, G. Maier, N. Tosaka and S. N. Atluri), pp. 1-29, Springer-Verlag, Berlin, Heidelberg.
    • (1993) Advances in Boundary Element Techniques , pp. 1-29
    • Bonnet, M.1    Bui, H.D.2
  • 5
    • 0041531067 scopus 로고
    • To the solution of the Riemann boundary value problem in a class of generalized functions
    • Cherskii, Yu, I., (1959). To the solution of the Riemann boundary value problem in a class of generalized functions. Dokl. Akad. Nauk SSSR 125, 500-503.
    • (1959) Dokl. Akad. Nauk SSSR , vol.125 , pp. 500-503
    • Cherskii, Yu.I.1
  • 6
    • 0016091791 scopus 로고
    • An improved boundary integral equation method for three-dimensional stress analysis
    • Cruse, T. A. (1974). An improved boundary integral equation method for three-dimensional stress analysis. Comput. Struct. 4, 741-754.
    • (1974) Comput. Struct. , vol.4 , pp. 741-754
    • Cruse, T.A.1
  • 8
    • 38249007139 scopus 로고
    • Boundary element method for regions with thin internal cavities
    • Gray, L. J. (1989). Boundary element method for regions with thin internal cavities. Eng. Anal. Boundary Elements 6, 180-184.
    • (1989) Eng. Anal. Boundary Elements , vol.6 , pp. 180-184
    • Gray, L.J.1
  • 9
    • 0025430991 scopus 로고
    • Hypersingular integrals in boundary clement fracture analysis
    • Gray, L. J., Martha, L. F. and Ingraffea, A. R. (1990). Hypersingular integrals in boundary clement fracture analysis. Int. J. Num. Meth. Engng 29, 1135-1158.
    • (1990) Int. J. Num. Meth. Engng , vol.29 , pp. 1135-1158
    • Gray, L.J.1    Martha, L.F.2    Ingraffea, A.R.3
  • 10
    • 0027626354 scopus 로고
    • A Hermite interpolation algorithms for hypersingular boundary integrals
    • Gray, L. J. and Soucie, C. S. (1993). A Hermite interpolation algorithms for hypersingular boundary integrals. Int. J. Num. Meth. Engng 36, 2357-2367.
    • (1993) Int. J. Num. Meth. Engng , vol.36 , pp. 2357-2367
    • Gray, L.J.1    Soucie, C.S.2
  • 11
    • 0026917189 scopus 로고
    • A general algorithm for the numerical solution of hypersingular boundary integral equations
    • Guiggiani, M., Krishnasami, G., Rudolphi, T. J. and Rizzo, F. J. (1992). A general algorithm for the numerical solution of hypersingular boundary integral equations. ASME J. Appl. Mech. 59, 604-614.
    • (1992) ASME J. Appl. Mech. , vol.59 , pp. 604-614
    • Guiggiani, M.1    Krishnasami, G.2    Rudolphi, T.J.3    Rizzo, F.J.4
  • 12
    • 0042533043 scopus 로고
    • Chelsea Publishing Company, New York
    • Hille, E. (1973). Analytic Function Theory, Chelsea Publishing Company, New York, Vol. 1, pp. 182-183.
    • (1973) Analytic Function Theory , vol.1 , pp. 182-183
    • Hille, E.1
  • 13
    • 0022674222 scopus 로고
    • A new interpretation of Cauchy type singular integrals with an application to singular integral equations
    • Ioakimidis, N. I. (1986). A new interpretation of Cauchy type singular integrals with an application to singular integral equations. J. Comp. Appl. Math 14, 271-278.
    • (1986) J. Comp. Appl. Math , vol.14 , pp. 271-278
    • Ioakimidis, N.I.1
  • 14
    • 0025447014 scopus 로고
    • Hypersingular boundary integral equations: Some applications in acoustic and elastic wave scattering
    • Krishnasami, G., Schmerr, L. W. Rudolphi, T. J. and Rizzo, F. J. (1990). Hypersingular boundary integral equations: some applications in acoustic and elastic wave scattering. ASME J. Appl. Mech. 57, 404-414.
    • (1990) ASME J. Appl. Mech. , vol.57 , pp. 404-414
    • Krishnasami, G.1    Schmerr, L.W.2    Rudolphi, T.J.3    Rizzo, F.J.4
  • 15
    • 0000249956 scopus 로고
    • The numerical evaluation of principal value integrals by finite part integration. Num
    • Kutt, H. R. (1975). The numerical evaluation of principal value integrals by finite part integration. Num. Math. 24, 205-210.
    • (1975) Math. , vol.24 , pp. 205-210
    • Kutt, H.R.1
  • 16
    • 0027222282 scopus 로고
    • A boundary element technique for plane isotropic elastic media using complex variable technique
    • Lee, K.J. (1993). A boundary element technique for plane isotropic elastic media using complex variable technique. Comp. Mech. 11, 83-91.
    • (1993) Comp. Mech. , vol.11 , pp. 83-91
    • Lee, K.J.1
  • 17
    • 0002703542 scopus 로고
    • Complex hypersingular integrals and integrals equations in plane elasticity
    • Linkov, A. M. and Mogilevskaya, S. G. (1994). Complex hypersingular integrals and integrals equations in plane elasticity. Acta Mechanica 105, 189-205.
    • (1994) Acta Mechanica , vol.105 , pp. 189-205
    • Linkov, A.M.1    Mogilevskaya, S.G.2
  • 18
    • 0022197247 scopus 로고
    • On the approximate computation of certain strongly singular integrals
    • Linz, P. (1985). On the approximate computation of certain strongly singular integrals. Computing 35, 345-353.
    • (1985) Computing , vol.35 , pp. 345-353
    • Linz, P.1
  • 19
    • 0026946843 scopus 로고
    • Use of "simple solutions" for boundary integral methods in elasticity and fracture mechanics
    • Lutz, E., Ingraffea, A. R. and Gray, L. J. (1992). Use of "simple solutions" for boundary integral methods in elasticity and fracture mechanics. Int. J. Num. Meth. Engng 35, 1737-1751.
    • (1992) Int. J. Num. Meth. Engng , vol.35 , pp. 1737-1751
    • Lutz, E.1    Ingraffea, A.R.2    Gray, L.J.3
  • 20
    • 0012715851 scopus 로고
    • Improper integrals in theoretical aerodynamics
    • C.P. Ministry of Supply, London
    • Mangler, K. W. (1952). Improper integrals in theoretical aerodynamics. C.P. No. 94, Aeronautical Research Council Technical Report, Ministry of Supply, London.
    • (1952) Aeronautical Research Council Technical Report , Issue.94
    • Mangler, K.W.1
  • 21
    • 0000013750 scopus 로고
    • End-point behavior of solutions to hypersingular integral equations
    • Martin, P. A. (1991). End-point behavior of solutions to hypersingular integral equations. Proc. Royal Soc. London A432, 301-320.
    • (1991) Proc. Royal Soc. London , vol.A432 , pp. 301-320
    • Martin, P.A.1
  • 23
    • 0000125481 scopus 로고
    • A regularized boundary integral equation method for elastodynamic crack problems
    • Nishimura, N. and Kobayashi, S. (1989). A regularized boundary integral equation method for elastodynamic crack problems. Comp. Mech. 4, 319-328.
    • (1989) Comp. Mech. , vol.4 , pp. 319-328
    • Nishimura, N.1    Kobayashi, S.2
  • 25
    • 0001470295 scopus 로고
    • Traction BIE solutions for flat cracks
    • Polch, E. Z., Cruse, T. A. and Huang, C. J. (1987). Traction BIE solutions for flat cracks. Comp. Mech. 2, 253-267.
    • (1987) Comp. Mech. , vol.2 , pp. 253-267
    • Polch, E.Z.1    Cruse, T.A.2    Huang, C.J.3
  • 26
    • 0026908564 scopus 로고
    • Analysis and evaluation of singular integrals by the invariant imbedding approach
    • Rosen, D. and Cormack, D. E. (1992). Analysis and evaluation of singular integrals by the invariant imbedding approach. Int. J. Num. Meth. Engng 35, 563-587.
    • (1992) Int. J. Num. Meth. Engng , vol.35 , pp. 563-587
    • Rosen, D.1    Cormack, D.E.2
  • 27
    • 0027577269 scopus 로고
    • Singular and near singular integrals in the BEM: A global approach
    • Rosen, D. and Cormack, D. E. (1993). Singular and near singular integrals in the BEM: A global approach. SIAM J. Appl. Math 53, 340-357.
    • (1993) SIAM J. Appl. Math , vol.53 , pp. 340-357
    • Rosen, D.1    Cormack, D.E.2
  • 28
    • 0042032361 scopus 로고
    • Higher order elements and element enhancement by combined regular and hypersingular boundary integral equations
    • eds B. S. Annigeri and K. Tseng, Springer-Verlag, Berlin, Heidelberg
    • Rudolphi, T. J. (1990). Higher order elements and element enhancement by combined regular and hypersingular boundary integral equations. In Boundary Element Methods in Engineering (eds B. S. Annigeri and K. Tseng), pp. 448-455, Springer-Verlag, Berlin, Heidelberg.
    • (1990) Boundary Element Methods in Engineering , pp. 448-455
    • Rudolphi, T.J.1
  • 29
    • 0000429478 scopus 로고
    • The use of simple solutions in the regularization of hypersingular boundary integral equations
    • Rudolphi, T. J. (1991). The use of simple solutions in the regularization of hypersingular boundary integral equations. Math. Comput. Modelling 15, 269-278.
    • (1991) Math. Comput. Modelling , vol.15 , pp. 269-278
    • Rudolphi, T.J.1
  • 30
    • 0021374171 scopus 로고
    • Transient elastodynamic three-dimensional problems in cracked bodies
    • Sladek, V. and Sladek, J. (1984). Transient elastodynamic three-dimensional problems in cracked bodies. Appl. Math. Modelling 8, 2-10.
    • (1984) Appl. Math. Modelling , vol.8 , pp. 2-10
    • Sladek, V.1    Sladek, J.2
  • 32
    • 0000135169 scopus 로고
    • Regularization techniques applied to boundary element methods
    • Tanaka, M., Sladek, V. and Sladek, J. (1994). Regularization techniques applied to boundary element methods. Appl. Mech. Reviews 47, 457-499.
    • (1994) Appl. Mech. Reviews , vol.47 , pp. 457-499
    • Tanaka, M.1    Sladek, V.2    Sladek, J.3
  • 33
    • 0028494767 scopus 로고
    • Hypersingular and finite part integrals in the boundary element method
    • Toh, K.-C. and Mukherjee, S. (1994). Hypersingular and finite part integrals in the boundary element method. Int. J. Solids Structures 31, 2299-2312.
    • (1994) Int. J. Solids Structures , vol.31 , pp. 2299-2312
    • Toh, K.-C.1    Mukherjee, S.2
  • 34
    • 0025463243 scopus 로고
    • Gauss quadrature rules for finite part integrals
    • Tsamasphyros, G. and Dimou, G. (1990). Gauss quadrature rules for finite part integrals. Int. J. Num. Meth. Engng 30, 13-26.
    • (1990) Int. J. Num. Meth. Engng , vol.30 , pp. 13-26
    • Tsamasphyros, G.1    Dimou, G.2
  • 35
    • 0024680297 scopus 로고
    • A new boundary integral equation formulation for elastodynamic and elastostatic crack analysis
    • Zhang, Ch. and Achenbach, J. D. (1989). A new boundary integral equation formulation for elastodynamic and elastostatic crack analysis. ASME J. Appl. Mech., Transactions ASME 56, 284-290.
    • (1989) ASME J. Appl. Mech., Transactions ASME , vol.56 , pp. 284-290
    • Zhang, Ch.1    Achenbach, J.D.2


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