메뉴 건너뛰기




Volumn 44, Issue 22-23, 2007, Pages 7073-7091

3D BEM for general anisotropic elasticity

Author keywords

3D BEM; General anisotropic solids; Line integral representation of Green's functions

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; COMPUTER SIMULATION; GREEN'S FUNCTION; INTEGRAL EQUATIONS;

EID: 34548838822     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2007.03.026     Document Type: Article
Times cited : (43)

References (33)
  • 1
    • 84983834461 scopus 로고
    • The precise evaluation of derivatives of the anisotropic elastic Green's functions
    • Barnett D.M. The precise evaluation of derivatives of the anisotropic elastic Green's functions. Phys. Stat. Sol. (b) 49 (1972) 741-748
    • (1972) Phys. Stat. Sol. (b) , vol.49 , pp. 741-748
    • Barnett, D.M.1
  • 2
    • 0031199179 scopus 로고    scopus 로고
    • Boundary integral equation formulation for interface cracks in anisotropic materials
    • Berger J.R., and Tewary V.K. Boundary integral equation formulation for interface cracks in anisotropic materials. Int. J. Numer. Meth. Eng. 20 (1997) 261-266
    • (1997) Int. J. Numer. Meth. Eng. , vol.20 , pp. 261-266
    • Berger, J.R.1    Tewary, V.K.2
  • 3
    • 0029275312 scopus 로고
    • Boundary integral formulations for three-dimensional anisotropic solids
    • Chen T., and Lin F.Z. Boundary integral formulations for three-dimensional anisotropic solids. Comput. Mech. 15 (1995) 485-496
    • (1995) Comput. Mech. , vol.15 , pp. 485-496
    • Chen, T.1    Lin, F.Z.2
  • 4
    • 0020708439 scopus 로고
    • A boundary integral equation for a class of crack problems in anisotropic elasticity
    • Clements D.L., and Haselgrove M.A. A boundary integral equation for a class of crack problems in anisotropic elasticity. Int. J. Comp. Math. 12 (1983) 267-278
    • (1983) Int. J. Comp. Math. , vol.12 , pp. 267-278
    • Clements, D.L.1    Haselgrove, M.A.2
  • 5
    • 0037456991 scopus 로고    scopus 로고
    • 2-D time-harmonic BEM for solids of general anisotropy with application to eigenvalue problems
    • Denda M., Wang C.-Y., and Yong Y.C. 2-D time-harmonic BEM for solids of general anisotropy with application to eigenvalue problems. J. Sound Vib. 261 (2003) 247-276
    • (2003) J. Sound Vib. , vol.261 , pp. 247-276
    • Denda, M.1    Wang, C.-Y.2    Yong, Y.C.3
  • 6
    • 0742287815 scopus 로고    scopus 로고
    • Mixed mode BEM analysis of multiple curvilinear cracks in the general anisotropic solids by the crack tip singular element
    • Denda M., and Marante M.E. Mixed mode BEM analysis of multiple curvilinear cracks in the general anisotropic solids by the crack tip singular element. Int. J. Solids Struct. 41 5-6 (2004) 1473-1489
    • (2004) Int. J. Solids Struct. , vol.41 , Issue.5-6 , pp. 1473-1489
    • Denda, M.1    Marante, M.E.2
  • 7
    • 4644301773 scopus 로고    scopus 로고
    • Time-harmonic BEM for 2-D piezoelectricity applied to eigenvalue problems
    • Denda M., Araki Y., and Yong Y.C. Time-harmonic BEM for 2-D piezoelectricity applied to eigenvalue problems. Int. J. Solids Struct. 41 26 (2004) 7241-7265
    • (2004) Int. J. Solids Struct. , vol.41 , Issue.26 , pp. 7241-7265
    • Denda, M.1    Araki, Y.2    Yong, Y.C.3
  • 8
    • 25444495713 scopus 로고
    • Anisotropic elasticity with applications to dislocation theory
    • Eshelby J.D., Read W.T., and Shockley W. Anisotropic elasticity with applications to dislocation theory. Acta Metall. 1 (1953) 251-259
    • (1953) Acta Metall. , vol.1 , pp. 251-259
    • Eshelby, J.D.1    Read, W.T.2    Shockley, W.3
  • 9
    • 6344225433 scopus 로고    scopus 로고
    • Evaluation of Galerkin singular integrals for anisotropic elasticity: displacement equation
    • Gray L.J., Griffith A., Johnson L., and Wawrzynek P.A. Evaluation of Galerkin singular integrals for anisotropic elasticity: displacement equation. Electron. J. Bound. Elem. 1 2 (2003) 68-94
    • (2003) Electron. J. Bound. Elem. , vol.1 , Issue.2 , pp. 68-94
    • Gray, L.J.1    Griffith, A.2    Johnson, L.3    Wawrzynek, P.A.4
  • 11
    • 34548832660 scopus 로고    scopus 로고
    • Hirose, S., Wang, C.-Y., Achenbach, J.D., 2000. Boundary element method for elastic wave scattering by a crack in an anisotropic solid. In: Proceedings of the 20th Int. Congress Theoret. Appl. Mech. ICTAM 2000, Chicago.
  • 12
    • 0037401428 scopus 로고    scopus 로고
    • Explicit expression of derivatives of elastic Green's functions for general anisotropic materials
    • Lee V.G. Explicit expression of derivatives of elastic Green's functions for general anisotropic materials. Mech. Res. Commun. 30 (2003) 241-249
    • (2003) Mech. Res. Commun. , vol.30 , pp. 241-249
    • Lee, V.G.1
  • 13
    • 0031699679 scopus 로고    scopus 로고
    • Symmetric weak-form integral equation method for three-dimensional fracture analysis
    • Li S., Mear M.E., and Xiao L. Symmetric weak-form integral equation method for three-dimensional fracture analysis. Comput. Meth. Appl. Mech. Eng. 151 (1998) 435-459
    • (1998) Comput. Meth. Appl. Mech. Eng. , vol.151 , pp. 435-459
    • Li, S.1    Mear, M.E.2    Xiao, L.3
  • 14
    • 0031139166 scopus 로고    scopus 로고
    • A formula for the fundamental solution of anisotropic elasticity
    • Nakamura G., and Tanuma K. A formula for the fundamental solution of anisotropic elasticity. Q. J. Mech. Appl. Math. 50 (1997) 179-194
    • (1997) Q. J. Mech. Appl. Math. , vol.50 , pp. 179-194
    • Nakamura, G.1    Tanuma, K.2
  • 15
    • 0034186949 scopus 로고    scopus 로고
    • Boundary element analysis of three-dimensional cracks in anisotropic solids
    • Pan E., and Yuan F.G. Boundary element analysis of three-dimensional cracks in anisotropic solids. Int. J. Numer. Meth. Eng. 48 (2000) 211-237
    • (2000) Int. J. Numer. Meth. Eng. , vol.48 , pp. 211-237
    • Pan, E.1    Yuan, F.G.2
  • 16
    • 0017292543 scopus 로고
    • Point force solution for an infinite transversely isotropic solid
    • Pan Y.C., and Chou T.W. Point force solution for an infinite transversely isotropic solid. J. Appl. Mech. 43 (1976) 608-612
    • (1976) J. Appl. Mech. , vol.43 , pp. 608-612
    • Pan, Y.C.1    Chou, T.W.2
  • 17
    • 0032186734 scopus 로고    scopus 로고
    • Evaluation of the anisotropic Green's function and its derivatives
    • Sales M.A., and Gray L.J. Evaluation of the anisotropic Green's function and its derivatives. Comput. Struct. 69 (1998) 247-254
    • (1998) Comput. Struct. , vol.69 , pp. 247-254
    • Sales, M.A.1    Gray, L.J.2
  • 18
    • 0016497214 scopus 로고
    • Boundary integral equation analysis of cracked anisotropic plates
    • Snyder M.D., and Cruse T.A. Boundary integral equation analysis of cracked anisotropic plates. Int. J. Fract. 11 (1975) 315-328
    • (1975) Int. J. Fract. , vol.11 , pp. 315-328
    • Snyder, M.D.1    Cruse, T.A.2
  • 19
    • 0027711154 scopus 로고
    • Fracture mechanics analysis of anisotropic plates by the boundary element method
    • Sollero P., and Aliabadi M.H. Fracture mechanics analysis of anisotropic plates by the boundary element method. Int. J. Fract. 64 4 (1993) 269-284
    • (1993) Int. J. Fract. , vol.64 , Issue.4 , pp. 269-284
    • Sollero, P.1    Aliabadi, M.H.2
  • 20
    • 84924343758 scopus 로고
    • Dislocations and cracks in anisotropic elasticity
    • Stroh A.N. Dislocations and cracks in anisotropic elasticity. Phil. Mag. 7 (1958) 625-646
    • (1958) Phil. Mag. , vol.7 , pp. 625-646
    • Stroh, A.N.1
  • 22
    • 0031206966 scopus 로고    scopus 로고
    • The three-dimensional elastostatic Green's function for general anisotropic linear elastic solids
    • Ting T.C.T., and Lee V.G. The three-dimensional elastostatic Green's function for general anisotropic linear elastic solids. Q. J. Mech. Appl. Math. 50 (1997) 407-426
    • (1997) Q. J. Mech. Appl. Math. , vol.50 , pp. 407-426
    • Ting, T.C.T.1    Lee, V.G.2
  • 24
    • 0035254435 scopus 로고    scopus 로고
    • Green's functions and boundary element method formulation for 3D anisotropic media
    • Tonon F., Pan E., and Amadei B. Green's functions and boundary element method formulation for 3D anisotropic media. Comput. Struct. 79 (2001) 469-482
    • (2001) Comput. Struct. , vol.79 , pp. 469-482
    • Tonon, F.1    Pan, E.2    Amadei, B.3
  • 25
    • 0004652621 scopus 로고
    • An integral equation formulation of threedimensional anisotropic elastostatic boundary value problems
    • Vogel S.M., and Rizzo F.J. An integral equation formulation of threedimensional anisotropic elastostatic boundary value problems. J. Elast. 3 (1973) 203-216
    • (1973) J. Elast. , vol.3 , pp. 203-216
    • Vogel, S.M.1    Rizzo, F.J.2
  • 26
    • 0005279015 scopus 로고
    • A new look at 2-D time-domain elastodynamic Green's functions for general anisotropic solids
    • Wang C.-Y., and Achenbach J.D. A new look at 2-D time-domain elastodynamic Green's functions for general anisotropic solids. Wave Motion 16 (1992) 389-405
    • (1992) Wave Motion , vol.16 , pp. 389-405
    • Wang, C.-Y.1    Achenbach, J.D.2
  • 27
    • 0028553251 scopus 로고
    • Elastodynamic fundamental solutions for anisotropic solids
    • Wang C.-Y., and Achenbach J.D. Elastodynamic fundamental solutions for anisotropic solids. Geophys. J. Int. 118 (1994) 384-392
    • (1994) Geophys. J. Int. , vol.118 , pp. 384-392
    • Wang, C.-Y.1    Achenbach, J.D.2
  • 28
    • 0028517619 scopus 로고
    • 2-D elastostatic Green's functions for general anisotropic solids and generalization of Strohs formalism
    • Wang C.-Y. 2-D elastostatic Green's functions for general anisotropic solids and generalization of Strohs formalism. Int. J. Solids Struct. 31 19 (1994) 2591-2597
    • (1994) Int. J. Solids Struct. , vol.31 , Issue.19 , pp. 2591-2597
    • Wang, C.-Y.1
  • 29
    • 0000794966 scopus 로고
    • Three-dimensional time-harmonic elastodynamic Green's functions for anisotropic solids
    • Wang C.-Y., and Achenbach J.D. Three-dimensional time-harmonic elastodynamic Green's functions for anisotropic solids. Proc. R. Soc. Lond. A 449 (1995) 441-458
    • (1995) Proc. R. Soc. Lond. A , vol.449 , pp. 441-458
    • Wang, C.-Y.1    Achenbach, J.D.2
  • 30
    • 0030294713 scopus 로고    scopus 로고
    • Two-dimensional time domain BEM for scattering of elastic waves in solids of general anisotropy
    • Wang C.-Y., Achenbach J.D., and Hirose H. Two-dimensional time domain BEM for scattering of elastic waves in solids of general anisotropy. Int. J. Solids Struct. 33 26 (1996) 3843-3864
    • (1996) Int. J. Solids Struct. , vol.33 , Issue.26 , pp. 3843-3864
    • Wang, C.-Y.1    Achenbach, J.D.2    Hirose, H.3
  • 31
    • 0030285934 scopus 로고    scopus 로고
    • Lamb's problem in solids of general anisotropy
    • Wang C.-Y., and Achenbach J.D. Lamb's problem in solids of general anisotropy. Wave Motion 24 3 (1996) 227-242
    • (1996) Wave Motion , vol.24 , Issue.3 , pp. 227-242
    • Wang, C.-Y.1    Achenbach, J.D.2
  • 32
    • 0031191165 scopus 로고    scopus 로고
    • Elastic fields produced by a point source in solids of general anisotropy
    • Wang C.-Y. Elastic fields produced by a point source in solids of general anisotropy. J. Eng. Math. 32 1 (1997) 41-52
    • (1997) J. Eng. Math. , vol.32 , Issue.1 , pp. 41-52
    • Wang, C.-Y.1
  • 33
    • 0018046704 scopus 로고
    • Efficient implementation of anisotropic three dimensional boundary-integral equation stress analysis
    • Wilson R.B., and Cruse T.A. Efficient implementation of anisotropic three dimensional boundary-integral equation stress analysis. Int. J. Numer. Meth. Eng. 12 (1978) 1383-1397
    • (1978) Int. J. Numer. Meth. Eng. , vol.12 , pp. 1383-1397
    • Wilson, R.B.1    Cruse, T.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.