메뉴 건너뛰기




Volumn 38, Issue 1, 2001, Pages 161-178

Error analysis and adaptivity in three-dimensional linear elasticity by the usual and hypersingular boundary contour method

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; ERROR ANALYSIS; INTEGRAL EQUATIONS;

EID: 0035155435     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(00)00005-6     Document Type: Article
Times cited : (10)

References (44)
  • 1
    • 0029211202 scopus 로고
    • Regularized direct and indirect symmetric variational BIE formulations for three-dimensional elasticity
    • M. Bonnet Regularized direct and indirect symmetric variational BIE formulations for three-dimensional elasticity Engng. Anal. Bound. Elem. 15 1995 93 102
    • (1995) Engng. Anal. Bound. Elem. , vol.15 , pp. 93-102
    • Bonnet, M.1
  • 2
    • 0032623511 scopus 로고    scopus 로고
    • Evaluation of gradients on the boundary using fully regularized hypersingular boundary integral equations
    • M.K. Chati S. Mukherjee Evaluation of gradients on the boundary using fully regularized hypersingular boundary integral equations Acta Mech. 135 1999 41 45
    • (1999) Acta Mech. , vol.135 , pp. 41-45
    • Chati, M.K.1    Mukherjee, S.2
  • 3
    • 85119549109 scopus 로고    scopus 로고
    • Chati, M.K., Paulino, G.H., Mukherjee, S., 2000. The meshless standard and hypersingular boundary node methods – applications to error estimation and adaptivity in three-dimensional problems, submitted for publication
  • 4
    • 0001799089 scopus 로고    scopus 로고
    • Review of dual boundary element methods with emphasis on hypersingular integrals and divergent series
    • J.T. Chen H-K. Hong Review of dual boundary element methods with emphasis on hypersingular integrals and divergent series ASME Appl. Mech. Rev. 52 1999 17 33
    • (1999) ASME Appl. Mech. Rev. , vol.52 , pp. 17-33
    • Chen, J.T.1    Hong, H-K.2
  • 5
    • 0014627423 scopus 로고
    • Numerical solutions in three-dimensional elastostatics
    • T.A. Cruse Numerical solutions in three-dimensional elastostatics Int. J. Solids Struct. 5 1969 1259 1274
    • (1969) Int. J. Solids Struct. , vol.5 , pp. 1259-1274
    • Cruse, T.A.1
  • 6
    • 0030270728 scopus 로고    scopus 로고
    • Non-singular Somigliana stress identities in elasticity
    • T.A. Cruse J.D. Richardson Non-singular Somigliana stress identities in elasticity Int. J. Numer. Meth. Engng. 39 1996 3273 3304
    • (1996) Int. J. Numer. Meth. Engng. , vol.39 , pp. 3273-3304
    • Cruse, T.A.1    Richardson, J.D.2
  • 7
    • 0033102181 scopus 로고    scopus 로고
    • 3-D elastic stress analysis at polyhedral corner points
    • E. Glushkov N. Glushkova O. Lapina 3-D elastic stress analysis at polyhedral corner points Int. J. Solids Struct. 36 1999 1105 1128
    • (1999) Int. J. Solids Struct. , vol.36 , pp. 1105-1128
    • Glushkov, E.1    Glushkova, N.2    Lapina, O.3
  • 10
    • 0031209209 scopus 로고    scopus 로고
    • Symmetric Galerkin boundary integral formulation for interface and multizone problems
    • L.J. Gray G.H. Paulino Symmetric Galerkin boundary integral formulation for interface and multizone problems Int. J. Numer. Meth. Engng. 40 1997 3085 3101
    • (1997) Int. J. Numer. Meth. Engng. , vol.40 , pp. 3085-3101
    • Gray, L.J.1    Paulino, G.H.2
  • 11
    • 0003047140 scopus 로고    scopus 로고
    • Symmetric Galerkin boundary integral fracture analysis for plane orthotropic elasticity
    • L.J. Gray G.H. Paulino Symmetric Galerkin boundary integral fracture analysis for plane orthotropic elasticity Comput. Mech. 20 1997 26 33
    • (1997) Comput. Mech. , vol.20 , pp. 26-33
    • Gray, L.J.1    Paulino, G.H.2
  • 12
  • 13
    • 0026917189 scopus 로고
    • A general algorithm for the numerical solution of hypersingular boundary integral equations
    • M. Guiggiani G. Krishnasamy T.J. Rudolphi F.J. Rizzo A general algorithm for the numerical solution of hypersingular boundary integral equations ASME J. Appl. Mech. 59 1992 604 614
    • (1992) ASME J. Appl. Mech. , vol.59 , pp. 604-614
    • Guiggiani, M.1    Krishnasamy, G.2    Rudolphi, T.J.3    Rizzo, F.J.4
  • 14
    • 0028444916 scopus 로고
    • On the nonsingular traction BIE in elasticity
    • Q. Huang T.A. Cruse On the nonsingular traction BIE in elasticity Int. J. Numer. Meth. Engng. 37 1994 2041 2072
    • (1994) Int. J. Numer. Meth. Engng. , vol.37 , pp. 2041-2072
    • Huang, Q.1    Cruse, T.A.2
  • 15
    • 0025447014 scopus 로고
    • Hypersingular boundary integral equations: some applications in acoustic and elastic wave scattering
    • G. Krishnasamy L.W. Schmerr T.J. Rudolphi F.J. Rizzo Hypersingular boundary integral equations: some applications in acoustic and elastic wave scattering ASME J. Appl. Mech. 57 1990 404 414
    • (1990) ASME J. Appl. Mech. , vol.57 , pp. 404-414
    • Krishnasamy, G.1    Schmerr, L.W.2    Rudolphi, T.J.3    Rizzo, F.J.4
  • 16
    • 0001415404 scopus 로고
    • Hypersingular boundary integral equations: their occurrence, interpretation, regularization and computation
    • G. Krishnasamy F.J. Rizzo T.J. Rudolphi Hypersingular boundary integral equations: their occurrence, interpretation, regularization and computation P.K. Banerjee S. Kobayashi Developments in Boundary Element Methods-7 1992 Elsevier Applied Science London 207 252
    • (1992) , pp. 207-252
    • Krishnasamy, G.1    Rizzo, F.J.2    Rudolphi, T.J.3
  • 17
    • 85119550404 scopus 로고    scopus 로고
    • 0 elements. Comput Methods Appl. Mech. Engng. 173, 375–386
  • 18
    • 85119558674 scopus 로고    scopus 로고
    • Lutz, E.D., 1991. Numerical Methods for Hypersingular and Near-Singular Boundary Integrals in Fracture Mechanics. Ph.D. dissertation, Cornell University, Ithaca, NY
  • 19
    • 0026946843 scopus 로고
    • Use of `simple solutions' for boundary integral methods in elasticity and fracture analysis
    • E.D. Lutz A.R. Ingraffea L.J. Gray Use of `simple solutions' for boundary integral methods in elasticity and fracture analysis Int. J. Numer. Meth. Engng. 35 1992 1737 1751
    • (1992) Int. J. Numer. Meth. Engng. , vol.35 , pp. 1737-1751
    • Lutz, E.D.1    Ingraffea, A.R.2    Gray, L.J.3
  • 20
    • 85119557751 scopus 로고    scopus 로고
    • Martin, P.A., Rizzo, F.J., 1996. Hypersingular integrals: how smooth must the density be? Int. J. Numer. Meth. Engng. 39, 687–704
  • 21
    • 0032121817 scopus 로고    scopus 로고
    • Smoothness-relaxation strategies for singular and hypersingular integral equations
    • P.A. Martin F.J. Rizzo T.A. Cruse Smoothness-relaxation strategies for singular and hypersingular integral equations Int. J. Numer. Meth. Engng. 42 1998 885 906
    • (1998) Int. J. Numer. Meth. Engng. , vol.42 , pp. 885-906
    • Martin, P.A.1    Rizzo, F.J.2    Cruse, T.A.3
  • 22
    • 85119556639 scopus 로고    scopus 로고
    • Menon, G., 1996. Hypersingular error estimates in boundary element methods. M.S. Thesis, Cornell University, Ithaca, NY
  • 23
    • 0032688898 scopus 로고    scopus 로고
    • Analysis of hypersingular residual error estimates in boundary element methods for potential problems
    • G. Menon G.H. Paulino S. Mukherjee Analysis of hypersingular residual error estimates in boundary element methods for potential problems Comput Methods Appl. Mech. Engng. 173 1999 449 473
    • (1999) Comput Methods Appl. Mech. Engng. , vol.173 , pp. 449-473
    • Menon, G.1    Paulino, G.H.2    Mukherjee, S.3
  • 24
    • 85119552126 scopus 로고    scopus 로고
    • Mukherjee, S., 1982. Boundary Element Methods in Creep and Fracture, Elsevier, London
  • 25
    • 0031175457 scopus 로고    scopus 로고
    • The boundary contour method for three-dimensional linear elasticity with a new quadratic boundary element
    • Y.X. Mukherjee S. Mukherjee X. Shi A. Nagarajan The boundary contour method for three-dimensional linear elasticity with a new quadratic boundary element Engng. Anal. Bound. Elem. 20 1997 35 44
    • (1997) Engng. Anal. Bound. Elem. , vol.20 , pp. 35-44
    • Mukherjee, Y.X.1    Mukherjee, S.2    Shi, X.3    Nagarajan, A.4
  • 26
    • 85119557729 scopus 로고    scopus 로고
    • Mukherjee, S., Mukherjee, Y.X., 1998. The hypersingular boundary contour method for three-dimensional linear elasticity. ASME J. Appl. Mech. 65, 300–309
  • 27
    • 85119551314 scopus 로고    scopus 로고
    • Nagarajan, A., Lutz, E.D., Mukherjee, S., 1994. A novel boundary element method for linear elasticity with no numerical integration for 2-D and line integrals for 3-D problems. ASME J. Appl. Mech. 61, 264–269
  • 28
    • 0001752979 scopus 로고    scopus 로고
    • The boundary contour method for three-dimensional linear elasticity
    • A. Nagarajan S. Mukherjee E.D. Lutz The boundary contour method for three-dimensional linear elasticity ASME J. Appl. Mech. 63 1996 278 286
    • (1996) ASME J. Appl. Mech. , vol.63 , pp. 278-286
    • Nagarajan, A.1    Mukherjee, S.2    Lutz, E.D.3
  • 29
    • 85119553683 scopus 로고    scopus 로고
    • Paulino, G.H., 1995. Novel Formulations of the Boundary Element Method for Fracture Mechanics and Error Estimation. Ph.D. dissertation, Cornell University, Ithaca, NY
  • 30
    • 0030165729 scopus 로고    scopus 로고
    • Hypersingular residuals – a new approach for error estimation in the boundary element method
    • G.H. Paulino L.J. Gray V. Zarkian Hypersingular residuals – a new approach for error estimation in the boundary element method Int. J. Numer. Meth. Engng. 39 1996 2005 2029
    • (1996) Int. J. Numer. Meth. Engng. , vol.39 , pp. 2005-2029
    • Paulino, G.H.1    Gray, L.J.2    Zarkian, V.3
  • 31
    • 0030671811 scopus 로고    scopus 로고
    • Nodal sensitivities as error estimates in computational mechanics
    • G.H. Paulino F. Shi S. Mukherjee P. Ramesh Nodal sensitivities as error estimates in computational mechanics Acta Mech. 121 1997 191 213
    • (1997) Acta Mech. , vol.121 , pp. 191-213
    • Paulino, G.H.1    Shi, F.2    Mukherjee, S.3    Ramesh, P.4
  • 32
    • 0033121627 scopus 로고    scopus 로고
    • Galerkin residuals for adaptive symmetric-Galerkin boundary element methods
    • G.H. Paulino L.J. Gray Galerkin residuals for adaptive symmetric-Galerkin boundary element methods ASCE J. Engng. Mech. 125 1999 575 585
    • (1999) ASCE J. Engng. Mech. , vol.125 , pp. 575-585
    • Paulino, G.H.1    Gray, L.J.2
  • 33
    • 0001600671 scopus 로고    scopus 로고
    • The boundary contour method for two-dimensional linear elasticity with quadratic boundary elements
    • A-V. Phan S. Mukherjee J.R.R. Mayer The boundary contour method for two-dimensional linear elasticity with quadratic boundary elements Comput. Mech. 20 1997 310 319
    • (1997) Comput. Mech. , vol.20 , pp. 310-319
    • Phan, A-V.1    Mukherjee, S.2    Mayer, J.R.R.3
  • 34
    • 0031619329 scopus 로고    scopus 로고
    • The hypersingular boundary contour method for two-dimensional linear elasticity
    • A-V. Phan S. Mukherjee J.R.R. Mayer The hypersingular boundary contour method for two-dimensional linear elasticity Acta Mech. 130 1998 209 225
    • (1998) Acta Mech. , vol.130 , pp. 209-225
    • Phan, A-V.1    Mukherjee, S.2    Mayer, J.R.R.3
  • 35
    • 85143531546 scopus 로고
    • Application of the Fourier method to the solution of certain boundary value problems in the theory of elasticity
    • G. Pickett Application of the Fourier method to the solution of certain boundary value problems in the theory of elasticity Trans. ASME J. Appl. Mech. 66 1944 A176 A182
    • (1944) Trans. ASME J. Appl. Mech. , vol.66 , pp. A176-A182
    • Pickett, G.1
  • 36
    • 0031198269 scopus 로고    scopus 로고
    • On the validity of conforming BEM algorithms for hypersingular boundary integral equations
    • J.D. Richardson T.A. Cruse Q. Huang On the validity of conforming BEM algorithms for hypersingular boundary integral equations Comput. Mech. 20 1997 213 220
    • (1997) Comput. Mech. , vol.20 , pp. 213-220
    • Richardson, J.D.1    Cruse, T.A.2    Huang, Q.3
  • 37
    • 0001851864 scopus 로고
    • An integral equation approach to boundary value problems of classical elastostatics
    • F.J. Rizzo An integral equation approach to boundary value problems of classical elastostatics Qly. Appl. Math. 25 1967 83 95
    • (1967) Qly. Appl. Math. , vol.25 , pp. 83-95
    • Rizzo, F.J.1
  • 38
    • 0000135169 scopus 로고
    • Regularization techniques applied to boundary element methods
    • M. Tanaka V. Sladek J. Sladek Regularization techniques applied to boundary element methods ASME Appl. Mech. Rev. 47 1994 457 499
    • (1994) ASME Appl. Mech. Rev. , vol.47 , pp. 457-499
    • Tanaka, M.1    Sladek, V.2    Sladek, J.3
  • 39
    • 85119562863 scopus 로고    scopus 로고
    • Timoshenko, S.P., Goodier, J.N., 1970. Theory of Elasticity, 3rd. ed. McGraw Hill, New York
  • 40
    • 0028494767 scopus 로고
    • Hypersingular and finite part integrals in the boundary element method
    • K-C. Toh S. Mukherjee Hypersingular and finite part integrals in the boundary element method Int. J. Solids Struct. 31 1994 2299 2312
    • (1994) Int. J. Solids Struct. , vol.31 , pp. 2299-2312
    • Toh, K-C.1    Mukherjee, S.2
  • 41
    • 85119564387 scopus 로고    scopus 로고
    • Wilde, A.J., Aliabadi, M.H., 1998. Direct evaluation of boundary stresses in the 3D BEM of elastostatics. Commun. Numer. Methods Engng. 14, 505–517
  • 42
    • 0025897867 scopus 로고
    • Design sensitivity coefficients for linear elastic bodies with zones and corners by the derivative boundary element method
    • Q. Zhang S. Mukherjee Design sensitivity coefficients for linear elastic bodies with zones and corners by the derivative boundary element method Int. J. Solids Struct. 27 1991 983 998
    • (1991) Int. J. Solids Struct. , vol.27 , pp. 983-998
    • Zhang, Q.1    Mukherjee, S.2
  • 43
    • 0345580278 scopus 로고    scopus 로고
    • Boundary stress calculation – a comparison study
    • Z.Y. Zhao S.R. Lan Boundary stress calculation – a comparison study Comput. Struct. 71 1999 77 85
    • (1999) Comput. Struct. , vol.71 , pp. 77-85
    • Zhao, Z.Y.1    Lan, S.R.2
  • 44
    • 0033311879 scopus 로고    scopus 로고
    • The traction boundary contour method for linear elasticity
    • S. Zhou Z. Cao S. Sun The traction boundary contour method for linear elasticity Int. J. Numer. Meth. Engng. 46 1999 1883 1895
    • (1999) Int. J. Numer. Meth. Engng. , vol.46 , pp. 1883-1895
    • Zhou, S.1    Cao, Z.2    Sun, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.