메뉴 건너뛰기




Volumn 129, Issue 3-4, 1998, Pages 187-205

A non-hypersingular boundary integral formulation for displacement gradients in linear elasticity

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; INTEGRAL EQUATIONS; INTEGRATION;

EID: 0031622810     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01176745     Document Type: Article
Times cited : (11)

References (23)
  • 1
    • 0001851864 scopus 로고
    • An integral equation approach to boundary value problems of classical elastostatics
    • Rizzo, F. L.: An integral equation approach to boundary value problems of classical elastostatics. Q. Appl. Math. 25, 83-95 (1967).
    • (1967) Q. Appl. Math. , vol.25 , pp. 83-95
    • Rizzo, F.L.1
  • 2
    • 0014627423 scopus 로고
    • Numerical solutions in three-dimensional elastostatics
    • Cruse, T. A.: Numerical solutions in three-dimensional elastostatics. Int. J. Solids Struct. 5, 1259-1274 (1969).
    • (1969) Int. J. Solids Struct. , vol.5 , pp. 1259-1274
    • Cruse, T.A.1
  • 3
    • 0015034972 scopus 로고
    • Three-dimensional elastic stress analysis of a fracture specimen with an edge crack
    • Cruse, T. A., Vanburen, W.: Three-dimensional elastic stress analysis of a fracture specimen with an edge crack. Int. J. Fract. Mech. 7, 1-15 (1971).
    • (1971) Int. J. Fract. Mech. , vol.7 , pp. 1-15
    • Cruse, T.A.1    Vanburen, W.2
  • 4
    • 0029391955 scopus 로고
    • On the calculation of boundary stresses with Somigliana stress identity
    • Fiedler, C.: On the calculation of boundary stresses with Somigliana stress identity. Int. J. Numer. Meth. Eng. 38, 3275-3295 (1995).
    • (1995) Int. J. Numer. Meth. Eng. , vol.38 , pp. 3275-3295
    • Fiedler, C.1
  • 5
    • 0000242054 scopus 로고
    • A formulation and solution procedure for the general nonhomogeneous elastic inclusion problem
    • Rizzo, F. J., Shippy, D. J.: A formulation and solution procedure for the general nonhomogeneous elastic inclusion problem. Int. J. Solids Struct. 4, 1161-1179 (1968).
    • (1968) Int. J. Solids Struct. , vol.4 , pp. 1161-1179
    • Rizzo, F.J.1    Shippy, D.J.2
  • 6
    • 0022680134 scopus 로고
    • A new boundary element method formulation for linear elasticity
    • Ghosh, N., Rajiyah, H., Ghosh, Mukherjee, S.: A new boundary element method formulation for linear elasticity. J. Appl. Mech. 53, 69-76 (1986).
    • (1986) J. Appl. Mech. , vol.53 , pp. 69-76
    • Ghosh, N.1    Rajiyah, H.2    Ghosh3    Mukherjee, S.4
  • 7
    • 0024016595 scopus 로고
    • Boundary integral equations for recovery of design sensitivities in shape optimization
    • Barone, M. R., Yang, R. J.: Boundary integral equations for recovery of design sensitivities in shape optimization. AIAA J. 26, 589-594 (1988).
    • (1988) AIAA J. , vol.26 , pp. 589-594
    • Barone, M.R.1    Yang, R.J.2
  • 8
    • 0028135962 scopus 로고
    • Hypersingular formulation for boundary stress evaluation
    • Guiggiani, M.: Hypersingular formulation for boundary stress evaluation. Eng. Anal. Boundary Element 13, 169-179 (1994).
    • (1994) Eng. Anal. Boundary Element , vol.13 , pp. 169-179
    • Guiggiani, M.1
  • 9
    • 0029342747 scopus 로고
    • Hypersingular boundary integral equations have an additional free term
    • Guiggiani, M.: Hypersingular boundary integral equations have an additional free term. Comp. Mech. 16, 245-248 (1995).
    • (1995) Comp. Mech. , vol.16 , pp. 245-248
    • Guiggiani, M.1
  • 10
    • 0023346059 scopus 로고
    • A new boundary element method formulation for three dimensional problems in linear elasticity
    • Ghosh, N., Mukherjee, S.: A new boundary element method formulation for three dimensional problems in linear elasticity. Acta Mech. 67, 107-119 (1987).
    • (1987) Acta Mech. , vol.67 , pp. 107-119
    • Ghosh, N.1    Mukherjee, S.2
  • 11
    • 0024138159 scopus 로고
    • A novel displacement gradient boundary element method for elastic stress analysis with high accuracy
    • Okada, H., Rajiyah, H., Atluri, S. N.: A novel displacement gradient boundary element method for elastic stress analysis with high accuracy. J. Appl. Mech. 55, 786-794 (1988).
    • (1988) J. Appl. Mech. , vol.55 , pp. 786-794
    • Okada, H.1    Rajiyah, H.2    Atluri, S.N.3
  • 12
    • 0039659364 scopus 로고
    • Computing C-matrix in non-smooth boundary points
    • (Brebbia, C. A., ed.), London: Butterworths
    • Hartmann, F.: Computing C-matrix in non-smooth boundary points. In: New developments in boundary element methods (Brebbia, C. A., ed.), pp. 367-379. London: Butterworths 1980.
    • (1980) New Developments in Boundary Element Methods , pp. 367-379
    • Hartmann, F.1
  • 13
    • 0016871823 scopus 로고
    • Effective numerical treatment of boundary integral equations: A formulation for three-dimensional elastostatics
    • Lachat, J. C., Watson, J. O.: Effective numerical treatment of boundary integral equations: a formulation for three-dimensional elastostatics. Int. J. Numer. Meth. Eng. 10, 991-1005 (1976).
    • (1976) Int. J. Numer. Meth. Eng. , vol.10 , pp. 991-1005
    • Lachat, J.C.1    Watson, J.O.2
  • 14
    • 0017723511 scopus 로고
    • An advanced boundary integral equation method for three-dimensional thermoelasticity
    • Rizzo, F. J., Shippy, D. J.: An advanced boundary integral equation method for three-dimensional thermoelasticity. Int. J. Numer. Meth. Eng. 11, 1753-1768 (1977).
    • (1977) Int. J. Numer. Meth. Eng. , vol.11 , pp. 1753-1768
    • Rizzo, F.J.1    Shippy, D.J.2
  • 15
    • 0001853516 scopus 로고
    • Advanced implementation of the boundary element method for two- And three-dimensional elastostatics
    • (Banerjee, P. K., Butterfield, P., eds.) London: Applied Science Publishers
    • Watson, J. O.: Advanced implementation of the boundary element method for two- and three-dimensional elastostatics. In: Developments in boundary element method - I, (Banerjee, P. K., Butterfield, P., eds.), pp. 31-63. London: Applied Science Publishers 1979.
    • (1979) Developments in Boundary Element Method - I , pp. 31-63
    • Watson, J.O.1
  • 17
    • 0025447014 scopus 로고
    • Hypersingular boundary integral equations: Some applications in acoustic and elastic wave scattering
    • Krishnasamy, G., Schmerr, L. W., Rudolphi, T. J., Rizzo, F. J.:, Hypersingular boundary integral equations: some applications in acoustic and elastic wave scattering. J. Appl. Mech. 57, 404-414 (1990).
    • (1990) J. Appl. Mech. , vol.57 , pp. 404-414
    • Krishnasamy, G.1    Schmerr, L.W.2    Rudolphi, T.J.3    Rizzo, F.J.4
  • 18
    • 0026917189 scopus 로고
    • A general algorithm for numerical solution of hypersingular boundary integral equations
    • Guiggiani, M., Krishnasamy, G., Rudolphi, T. J., Rizzo, F. J.: A general algorithm for numerical solution of hypersingular boundary integral equations. J. Appl. Mech. 59, 604-614 (1992).
    • (1992) J. Appl. Mech. , vol.59 , pp. 604-614
    • Guiggiani, M.1    Krishnasamy, G.2    Rudolphi, T.J.3    Rizzo, F.J.4
  • 19
    • 0027626354 scopus 로고
    • A Hermit interpolation algorithm for hypersingular boundary integrals
    • Gray, L. J., Soucie, C. S.: A Hermit interpolation algorithm for hypersingular boundary integrals. Int. J. Numer. Meth. Eng. 36, 2357-2367 (1993).
    • (1993) Int. J. Numer. Meth. Eng. , vol.36 , pp. 2357-2367
    • Gray, L.J.1    Soucie, C.S.2
  • 20
    • 0028494767 scopus 로고
    • Hypersingular and finite part integrals in the boundary element method
    • Mukherjee, S., Toh, K. C.: Hypersingular and finite part integrals in the boundary element method. Int. J. Solids Struct. 31, 2299-2312 (1994).
    • (1994) Int. J. Solids Struct. , vol.31 , pp. 2299-2312
    • Mukherjee, S.1    Toh, K.C.2
  • 21
    • 0023421901 scopus 로고
    • Direct computation of Cauchy principal value integrals in advanced boundary element methods
    • Guiggiani, M., Casalini, P.: Direct computation of Cauchy principal value integrals in advanced boundary element methods. Int. J. Numer. Meth. Eng. 24, 1711-1720 (1987).
    • (1987) Int. J. Numer. Meth. Eng. , vol.24 , pp. 1711-1720
    • Guiggiani, M.1    Casalini, P.2
  • 22
    • 0001548771 scopus 로고
    • A general algorithm for multidimensional Cauchy principal value integrals in the boundary element methods
    • Guiggiani, M., Gigante, P.: A general algorithm for multidimensional Cauchy principal value integrals in the boundary element methods. J. Appl. Mech. 57, 906-915 (1990).
    • (1990) J. Appl. Mech. , vol.57 , pp. 906-915
    • Guiggiani, M.1    Gigante, P.2
  • 23
    • 0025897867 scopus 로고
    • Design sensitivity coefficients for linear elastic bodies with zones and corners by the derivative boundary element method
    • Zhang, Q., Mukherjee, S.: Design sensitivity coefficients for linear elastic bodies with zones and corners by the derivative boundary element method. Int. J. Solids Struct. 27, 983-998 (1991).
    • (1991) Int. J. Solids Struct. , vol.27 , pp. 983-998
    • Zhang, Q.1    Mukherjee, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.