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Volumn 235, Issue 15, 2011, Pages 4480-4495

Explicit expressions for three-dimensional boundary integrals in linear elasticity

Author keywords

Analytical integration; Boundary element method; Elastostatics; Singular integrals

Indexed keywords

ANALYTICAL EXPRESSIONS; ANALYTICAL INTEGRATION; BOUNDARY INTEGRALS; COLLOCATION METHOD; ELASTOSTATICS; EXPLICIT EXPRESSIONS; GALERKIN TECHNIQUE; LINEAR ELASTICITY; NUMERICAL EXAMPLE; NUMERICAL TREATMENTS; PIECEWISE LINEAR; SHAPE FUNCTIONS; SINGULAR INTEGRAL; SOURCE POINTS; TRIANGULATED SURFACES;

EID: 79957542407     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2011.04.017     Document Type: Article
Times cited : (14)

References (21)
  • 3
    • 0016871823 scopus 로고
    • Effective numerical treatment of boundary integral equations: A formulation for three-dimensional elastostatics
    • J.C. Lachat, and J.O. Watson Effective numerical treatment of boundary integral equations: a formulation for three-dimensional elastostatics Internat. J. Numer. Methods Engrg. 10 5 1976 991 1005
    • (1976) Internat. J. Numer. Methods Engrg. , vol.10 , Issue.5 , pp. 991-1005
    • Lachat, J.C.1    Watson, J.O.2
  • 4
    • 0028018706 scopus 로고
    • On computing boundary limiting values of boundary integrals with strongly singular and hypersingular kernels in 3D bem for elastostatics
    • V. Mantic On computing boundary limiting values of boundary integrals with strongly singular and hypersingular kernels in 3D bem for elastostatics Eng. Anal. Bound. Elem. 13 2 1994 115 134
    • (1994) Eng. Anal. Bound. Elem. , vol.13 , Issue.2 , pp. 115-134
    • Mantic, V.1
  • 5
    • 0027591201 scopus 로고
    • Regularization of hypersingular and nearly singular integrals in the potential theory and elasticity
    • V. Sladek, J. Sladek, and M. Tanaka Regularization of hypersingular and nearly singular integrals in the potential theory and elasticity Internat. J. Numer. Methods Engrg. 36 10 1993 1609 1628
    • (1993) Internat. J. Numer. Methods Engrg. , vol.36 , Issue.10 , pp. 1609-1628
    • Sladek, V.1    Sladek, J.2    Tanaka, M.3
  • 6
    • 0027388318 scopus 로고
    • Three-dimensional elastic analysis by the displacement discontinuity method with boundary division into triangular leaf elements
    • K. Kuriyama, and Y. Mizuta Three-dimensional elastic analysis by the displacement discontinuity method with boundary division into triangular leaf elements Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 30 2 1993 111 123 (Pubitemid 23392486)
    • (1993) International Journal of Rock Mechanics & Mining Sciences , vol.30 , Issue.2 , pp. 111-123
    • Kuriyama, K.1    Mizuta, Y.2
  • 7
    • 0031377168 scopus 로고    scopus 로고
    • The elastostatic three-dimensional boundary element method: Analytical integration for linear isoparametric triangular elements
    • PII S0307904X9700098X
    • J. Milroy, S. Hinduja, and K. Davey The elastostatic three-dimensional boundary element method: analytical integration for linear isoparametric triangular elements Appl. Math. Modelling 21 1997 763 782 (Pubitemid 127426739)
    • (1997) Applied Mathematical Modelling , vol.21 , Issue.12 , pp. 763-782
    • Milroy, J.1    Hinduja, S.2    Davey, K.3
  • 9
    • 77955467120 scopus 로고    scopus 로고
    • Analytical integrations in 3D BEM for elliptic problems: Evaluation and implementation
    • A. Salvadori Analytical integrations in 3D BEM for elliptic problems: evaluation and implementation Internat. J. Numer. Methods Engrg. 84 5 2010 505 542
    • (2010) Internat. J. Numer. Methods Engrg. , vol.84 , Issue.5 , pp. 505-542
    • Salvadori, A.1
  • 10
    • 70350780066 scopus 로고    scopus 로고
    • Regularization of hypersingular integrals in 3-D fracture mechanics: Triangular BE, and piecewise-constant and piecewise-linear approximations
    • V.V. Zozulya Regularization of hypersingular integrals in 3-D fracture mechanics: Triangular BE, and piecewise-constant and piecewise-linear approximations Eng. Anal. Bound. Elem. 34 2 2010 105 113
    • (2010) Eng. Anal. Bound. Elem. , vol.34 , Issue.2 , pp. 105-113
    • Zozulya, V.V.1
  • 11
    • 64049108174 scopus 로고    scopus 로고
    • Explicit expressions for 3D boundary integrals in potential theory
    • S. Nintcheu Fata Explicit expressions for 3D boundary integrals in potential theory Internat. J. Numer. Methods Engrg. 78 1 2009 32 47
    • (2009) Internat. J. Numer. Methods Engrg. , vol.78 , Issue.1 , pp. 32-47
    • Nintcheu Fata, S.1
  • 12
    • 77955557747 scopus 로고    scopus 로고
    • Semi-analytic treatment of nearly-singular Galerkin surface integrals
    • S. Nintcheu Fata Semi-analytic treatment of nearly-singular Galerkin surface integrals Appl. Numer. Math. 60 10 2010 974 993
    • (2010) Appl. Numer. Math. , vol.60 , Issue.10 , pp. 974-993
    • Nintcheu Fata, S.1
  • 13
    • 67949104957 scopus 로고    scopus 로고
    • Semi-analytic integration of hypersingular Galerkin BIEs for three-dimensional potential problems
    • S. Nintcheu Fata, and L.J. Gray Semi-analytic integration of hypersingular Galerkin BIEs for three-dimensional potential problems J. Comput. Appl. Math. 231 2 2009 561 576
    • (2009) J. Comput. Appl. Math. , vol.231 , Issue.2 , pp. 561-576
    • Nintcheu Fata, S.1    Gray, L.J.2
  • 14
    • 70349952390 scopus 로고    scopus 로고
    • On the implementation of 3D Galerkin boundary integral equations
    • S. Nintcheu Fata, and L.J. Gray On the implementation of 3D Galerkin boundary integral equations Eng. Anal. Bound. Elem. 34 1 2010 60 65
    • (2010) Eng. Anal. Bound. Elem. , vol.34 , Issue.1 , pp. 60-65
    • Nintcheu Fata, S.1    Gray, L.J.2
  • 19
    • 0022076980 scopus 로고
    • High degree efficient symmetrical Gaussian quadrature rules for the triangle
    • D.A. Dunavant High degree efficient symmetrical Gaussian quadrature rules for the triangle Internat. J. Numer. Methods Engrg. 21 1985 1129 1148 (Pubitemid 15530458)
    • (1985) International Journal for Numerical Methods in Engineering , vol.21 , Issue.6 , pp. 1129-1148
    • Dunavant, D.A.1
  • 20
    • 0043206653 scopus 로고    scopus 로고
    • Symmetric quadrature rules on triangle
    • S.A. Wandzura, and H. Xiao Symmetric quadrature rules on triangle Comput. Math. Appl. 45 2003 1829 1840
    • (2003) Comput. Math. Appl. , vol.45 , pp. 1829-1840
    • Wandzura, S.A.1    Xiao, H.2
  • 21
    • 0001845470 scopus 로고
    • BiCGSTAB(l) for linear equations involving unsymmetric matrices with complex spectrum
    • G.L.G. Sleijpen, and D.R. Fokkema BiCGSTAB(l) for linear equations involving unsymmetric matrices with complex spectrum Electron. Trans. Numer. Anal. 1 1993 11 32
    • (1993) Electron. Trans. Numer. Anal. , vol.1 , pp. 11-32
    • Sleijpen, G.L.G.1    Fokkema, D.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.