메뉴 건너뛰기




Volumn 31, Issue 12, 2007, Pages 949-964

Analytic formulations for calculating nearly singular integrals in two-dimensional BEM

Author keywords

Analytic integration; Boundary element methods; Elasticity; Hyper singularity; Nearly singular integrals

Indexed keywords

BOUNDARY ELEMENT METHOD; COMPUTATIONAL METHODS; COMPUTER SIMULATION; ELASTICITY; ELASTICITY TESTING; PROBLEM SOLVING;

EID: 35648987056     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2007.05.001     Document Type: Article
Times cited : (74)

References (19)
  • 1
    • 0000135169 scopus 로고
    • Regularization techniques applied to BEM
    • Tanaka M., Sladek V., and Sladek J. Regularization techniques applied to BEM. Appl Mech Rev 47 10 (1994) 457-499
    • (1994) Appl Mech Rev , vol.47 , Issue.10 , pp. 457-499
    • Tanaka, M.1    Sladek, V.2    Sladek, J.3
  • 2
    • 35648971870 scopus 로고    scopus 로고
    • Sladek V, Sladek J, editors. Singular integrals in boundary element methods. CMP, Southampton, 1998.
  • 3
    • 0001548771 scopus 로고
    • A general algorithm for multidimensional Cauchy principal value integrals in the BEM
    • Guiggiani M., and Gigante A. A general algorithm for multidimensional Cauchy principal value integrals in the BEM. J Appl Mech 57 4 (1990) 906-915
    • (1990) J Appl Mech , vol.57 , Issue.4 , pp. 906-915
    • Guiggiani, M.1    Gigante, A.2
  • 4
    • 0026917189 scopus 로고
    • A general algorithm for the numerical solution of hypersingular BEM
    • Guiggiani M., Krishnasamy G., Rudolphi T.J., and Rizzo F.J. A general algorithm for the numerical solution of hypersingular BEM. J Appl Mech 59 3 (1992) 604-614
    • (1992) J Appl Mech , vol.59 , Issue.3 , pp. 604-614
    • Guiggiani, M.1    Krishnasamy, G.2    Rudolphi, T.J.3    Rizzo, F.J.4
  • 5
    • 0023349184 scopus 로고
    • A self-adaptive co-ordinate transformation for efficient numerical evaluations of general boundary element integrals
    • Telles J.C.F. A self-adaptive co-ordinate transformation for efficient numerical evaluations of general boundary element integrals. Int J Numer Methods Eng 24 (1987) 959-973
    • (1987) Int J Numer Methods Eng , vol.24 , pp. 959-973
    • Telles, J.C.F.1
  • 6
    • 0027990126 scopus 로고
    • A numerical quadrature for nearly singular boundary element integrals
    • Hayami K., and Matsumoto H. A numerical quadrature for nearly singular boundary element integrals. Eng Anal Boundary Elem 13 (1994) 143-154
    • (1994) Eng Anal Boundary Elem , vol.13 , pp. 143-154
    • Hayami, K.1    Matsumoto, H.2
  • 7
    • 0031997408 scopus 로고    scopus 로고
    • Analysis of shell-like structures by the boundary element method based on 3-D elasticity: formulation and verification
    • Liu Y.J. Analysis of shell-like structures by the boundary element method based on 3-D elasticity: formulation and verification. Int J Numer Methods Eng 41 (1998) 541-558
    • (1998) Int J Numer Methods Eng , vol.41 , pp. 541-558
    • Liu, Y.J.1
  • 8
    • 0032321269 scopus 로고    scopus 로고
    • Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method
    • Luo J.F., Liu Y.J., and Berger E.J. Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method. Comput Mech 22 (1998) 404-412
    • (1998) Comput Mech , vol.22 , pp. 404-412
    • Luo, J.F.1    Liu, Y.J.2    Berger, E.J.3
  • 9
    • 0037087876 scopus 로고    scopus 로고
    • Analysis of thin piezoelectric solids by the boundary element method
    • Liu Y.J., and Fan H. Analysis of thin piezoelectric solids by the boundary element method. Comput Methods Appl Mech Eng 191 (2002) 2297-2315
    • (2002) Comput Methods Appl Mech Eng , vol.191 , pp. 2297-2315
    • Liu, Y.J.1    Fan, H.2
  • 10
    • 18844376559 scopus 로고    scopus 로고
    • An advanced 3D boundary element method for characterizations of composite materials
    • Chen X.L., and Liu Y.J. An advanced 3D boundary element method for characterizations of composite materials. Eng Anal Boundary Elem 29 (2005) 513-523
    • (2005) Eng Anal Boundary Elem , vol.29 , pp. 513-523
    • Chen, X.L.1    Liu, Y.J.2
  • 11
    • 0039336967 scopus 로고    scopus 로고
    • Optimal transformations of the integration variables in computation of singular integrals in BEM
    • Sladek V., Sladek J., and Tanaka M. Optimal transformations of the integration variables in computation of singular integrals in BEM. Int J Numer Methods Eng 47 (2000) 1263-1283
    • (2000) Int J Numer Methods Eng , vol.47 , pp. 1263-1283
    • Sladek, V.1    Sladek, J.2    Tanaka, M.3
  • 12
    • 0033736992 scopus 로고    scopus 로고
    • Exact boundary element integrations for two-dimensional Laplace equation
    • Fratantonio M., and Rencis J.J. Exact boundary element integrations for two-dimensional Laplace equation. Eng Anal Boundary Elem 24 (2000) 325-342
    • (2000) Eng Anal Boundary Elem , vol.24 , pp. 325-342
    • Fratantonio, M.1    Rencis, J.J.2
  • 13
    • 0035499555 scopus 로고    scopus 로고
    • Numerical integration of logarithmic and nearly logarithmic singularity in BEMs
    • Sladek V., Sladek J., and Tanaka M. Numerical integration of logarithmic and nearly logarithmic singularity in BEMs. Appl Math Modelling 25 (2001) 901-922
    • (2001) Appl Math Modelling , vol.25 , pp. 901-922
    • Sladek, V.1    Sladek, J.2    Tanaka, M.3
  • 14
    • 0035362569 scopus 로고    scopus 로고
    • Analytic integration of kernel shape function product integrals in the boundary element method
    • Padhi G.S., Shenoi R.A., Moy S.S.J., and McCarthy M.A. Analytic integration of kernel shape function product integrals in the boundary element method. Comput Struct 79 (2001) 1325-1333
    • (2001) Comput Struct , vol.79 , pp. 1325-1333
    • Padhi, G.S.1    Shenoi, R.A.2    Moy, S.S.J.3    McCarthy, M.A.4
  • 15
    • 0033354775 scopus 로고    scopus 로고
    • Boundary element numerical modeling as a surface engineering tool: application to very thin coatings
    • Kouitat Njiwa R., and Stebut J.V. Boundary element numerical modeling as a surface engineering tool: application to very thin coatings. Surf Coat Technol 116-119 (1999) 573-579
    • (1999) Surf Coat Technol , vol.116-119 , pp. 573-579
    • Kouitat Njiwa, R.1    Stebut, J.V.2
  • 16
    • 0008796279 scopus 로고    scopus 로고
    • Thermal stress analysis of multi-layer thin films and coatings by an advanced boundary element method
    • Chen X.L., and Liu Y.J. Thermal stress analysis of multi-layer thin films and coatings by an advanced boundary element method. CMES 2 3 (2001) 337-349
    • (2001) CMES , vol.2 , Issue.3 , pp. 337-349
    • Chen, X.L.1    Liu, Y.J.2
  • 17
    • 0342483881 scopus 로고    scopus 로고
    • Interfacial stress analysis for multi-coating systems using an advanced boundary method
    • Luo J.F., Liu Y.J., and Berger E.J. Interfacial stress analysis for multi-coating systems using an advanced boundary method. Comput Mech 24 (2000) 448-455
    • (2000) Comput Mech , vol.24 , pp. 448-455
    • Luo, J.F.1    Liu, Y.J.2    Berger, E.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.