메뉴 건너뛰기




Volumn 28, Issue 12, 2004, Pages 1493-1513

A weakly singular boundary integral equation in elastodynamics for heterogeneous domains mitigating fictitious eigenfrequencies

Author keywords

Boundary integral equation; Dynamic soil structure interaction; Elastodynamics; Fictitious eigenfrequencies

Indexed keywords

BOUNDARY ELEMENT METHOD; EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; INTEGRAL EQUATIONS; KINEMATICS; MATHEMATICAL OPERATORS; PROBLEM SOLVING;

EID: 8344279629     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2004.08.001     Document Type: Article
Times cited : (18)

References (39)
  • 3
    • 0000248093 scopus 로고
    • Stiffness matrices for layered soils
    • Kausel E, Roësset JM. Stiffness matrices for layered soils. Bull Seismol Soc Am 1981;71(6):1743-61.
    • (1981) Bull Seismol Soc Am , vol.71 , Issue.6 , pp. 1743-1761
    • Kausel, E.1    Roësset, J.M.2
  • 4
    • 0000345637 scopus 로고
    • On the Green's functions for a layered half-space. Part I
    • Luco JE, Apsel RJ. On the Green's functions for a layered half-space. Part I. Bull Seismol Soc Am 1983;4:909-29.
    • (1983) Bull Seismol Soc Am , vol.4 , pp. 909-929
    • Luco, J.E.1    Apsel, R.J.2
  • 5
    • 0000345637 scopus 로고
    • On the Green's functions for a layered half-space. Part II
    • Apsel RJ, Luco JE. On the Green's functions for a layered half-space. Part II. Bull Seismol Soc Am 1983;73:931-51.
    • (1983) Bull Seismol Soc Am , vol.73 , pp. 931-951
    • Apsel, R.J.1    Luco, J.E.2
  • 6
    • 0032413493 scopus 로고    scopus 로고
    • Wave propagation in layered dry, saturated and unsaturated poroelastic media
    • Poroelasticity Maurice A. Biot memorial issue
    • Degrande G, De Roeck G, Van den Broeck P, Smeulders D. Wave propagation in layered dry, saturated and unsaturated poroelastic media. Int J Solids Struct 1998;35(34/35):4753-78. Poroelasticity Maurice A. Biot memorial issue.
    • (1998) Int J Solids Struct , vol.35 , Issue.34-35 , pp. 4753-4778
    • Degrande, G.1    De Roeck, G.2    Van Den Broeck, P.3    Smeulders, D.4
  • 7
    • 0035250183 scopus 로고    scopus 로고
    • On the analysis of wave motions in a multilayered solid Quart
    • Guzina BB, Pak RYS. On the analysis of wave motions in a multilayered solid Quart J Mech Appl Math 2001;54(1):13-37.
    • (2001) J Mech Appl Math , vol.54 , Issue.1 , pp. 13-37
    • Guzina, B.B.1    Rys, P.2
  • 9
    • 0004160089 scopus 로고
    • Co-published by Computational Mechanics Publications Southampton, Boston and Elsevier Applied Science London, New York
    • Dominguez J. Boundary elements in dynamics. Co-published by Computational Mechanics Publications, Southampton, Boston and Elsevier Applied Science London, New York; 1993.
    • (1993) Boundary Elements in Dynamics
    • Dominguez, J.1
  • 11
    • 84953651836 scopus 로고
    • Integral equation method for radiation from vibrating bodies
    • Copley LG. Integral equation method for radiation from vibrating bodies. J Acoust Soc Am 1967;41:807-16.
    • (1967) J Acoust Soc Am , vol.41 , pp. 807-816
    • Copley, L.G.1
  • 12
    • 84953655023 scopus 로고
    • Improved integral formulation for acoustic radiation problems
    • Schenck HA. Improved integral formulation for acoustic radiation problems. J Acoust Soc Am 1968;44:45-58.
    • (1968) J Acoust Soc Am , vol.44 , pp. 45-58
    • Schenck, H.A.1
  • 13
    • 0021372201 scopus 로고
    • Acoustic radiation from vibrating surfaces at characteristic frequencies
    • Piaszczyk CM, Klosner JM. Acoustic radiation from vibrating surfaces at characteristic frequencies. J Acoust Soc Am 1984;75(2):363-75.
    • (1984) J Acoust Soc Am , vol.75 , Issue.2 , pp. 363-375
    • Piaszczyk, C.M.1    Klosner, J.M.2
  • 14
    • 0000181954 scopus 로고
    • The application of integral equation methods to the numerical solution of some exterior boundary-value problems
    • Burton AJ, Miller GF. The application of integral equation methods to the numerical solution of some exterior boundary-value problems. Proc R Soc Lond 1971;323:201-10.
    • (1971) Proc R Soc Lond , vol.323 , pp. 201-210
    • Burton, A.J.1    Miller, G.F.2
  • 15
    • 0002749845 scopus 로고
    • On the choice of the coupling parameter in boundary integral formulations of the exterior acoustic problem
    • Amini S. On the choice of the coupling parameter in boundary integral formulations of the exterior acoustic problem. Applic Anal 1990;35:75-92.
    • (1990) Applic Anal , vol.35 , pp. 75-92
    • Amini, S.1
  • 16
    • 0037166226 scopus 로고    scopus 로고
    • Adaptive boundary element method of time-harmonic exterior acoustics in two dimensions
    • Chen JT, Chen KH, Chen CT. Adaptive boundary element method of time-harmonic exterior acoustics in two dimensions. Comput Meth Appl Mech Eng 2002;191:3331-45.
    • (2002) Comput Meth Appl Mech Eng , vol.191 , pp. 3331-3345
    • Chen, J.T.1    Chen, K.H.2    Chen, C.T.3
  • 17
    • 0037366865 scopus 로고    scopus 로고
    • A new concept of modal participation factor for numerical instability in the dual bem for exterior acoustics
    • Chen JT, Chen KH, Chen IL, Liu LW. A new concept of modal participation factor for numerical instability in the dual bem for exterior acoustics. Mech Res Commun 2003;30:161-74.
    • (2003) Mech Res Commun , vol.30 , pp. 161-174
    • Chen, J.T.1    Chen, K.H.2    Chen, I.L.3    Liu, L.W.4
  • 18
    • 84971178654 scopus 로고
    • On the exterior problems of acoustics
    • Ursell F. On the exterior problems of acoustics. Proc Cambridge Philos Soc 1973;74:117-25.
    • (1973) Proc Cambridge Philos Soc , vol.74 , pp. 117-125
    • Ursell, F.1
  • 19
    • 0016028683 scopus 로고
    • Integral equations for the exterior acoustic problem
    • Jones DS. Integral equations for the exterior acoustic problem. Quart J Mech Appl Math 1974;27:129-42.
    • (1974) Quart J Mech Appl Math , vol.27 , pp. 129-142
    • Jones, D.S.1
  • 20
    • 0021515368 scopus 로고
    • On the uniqueness of solution for all wavenumbers in acoustic radiation
    • Brod K. On the uniqueness of solution for all wavenumbers in acoustic radiation. J Acoust Soc Am 1984;76(4):1238-43.
    • (1984) J Acoust Soc Am , vol.76 , Issue.4 , pp. 1238-1243
    • Brod, K.1
  • 21
    • 0346743772 scopus 로고
    • On the indeterminancy of BIE solutions for the exterior problems of time-harmonic elastodynamics and incompressible elastostatics
    • Brebbia CA, editor. Berlin: Springer
    • Kobayashi S, Nishimura N. On the indeterminancy of BIE solutions for the exterior problems of time-harmonic elastodynamics and incompressible elastostatics. In: Brebbia CA, editor. Boundary element methods in engineering. Berlin: Springer; 1982, p. 282-96.
    • (1982) Boundary Element Methods in Engineering , pp. 282-296
    • Kobayashi, S.1    Nishimura, N.2
  • 22
    • 0020222874 scopus 로고
    • Dynamic analysis of underground structures by the integral equation method
    • Eisenstein Z, editor. Rotterdam: A.A. Balkema
    • Kobayashi S, Nishimura N. Dynamic analysis of underground structures by the integral equation method. In: Eisenstein Z, editor. Numerical methods in geomechanics. Rotterdam: A.A. Balkema; 1982, p. 401-9.
    • (1982) Numerical Methods in Geomechanics , pp. 401-409
    • Kobayashi, S.1    Nishimura, N.2
  • 23
    • 0042533601 scopus 로고
    • Transient stress analysis of tunnels and cavities of arbitrary shape due to travelling waves
    • Banerjee PK, Shaw RP, editors. London: Applied Science Publishers
    • Kobayashi S, Nishimura N, Transient stress analysis of tunnels and cavities of arbitrary shape due to travelling waves. In: Banerjee PK, Shaw RP, editors. Developments in boundary element methods, vol. 2. London: Applied Science Publishers; 1982, p. 177-210.
    • (1982) Developments in Boundary Element Methods , vol.2 , pp. 177-210
    • Kobayashi, S.1    Nishimura, N.2
  • 24
    • 0041123638 scopus 로고
    • The direct boundary integral-equation method for the 3-dimensional elastodynamic transmission problem
    • Gonsalves IR, Shippy DJ, Rizzo FJ. The direct boundary integral-equation method for the 3-dimensional elastodynamic transmission problem. Math Comput Model 1991;15(1-3):155-64.
    • (1991) Math Comput Model , vol.15 , Issue.1-3 , pp. 155-164
    • Gonsalves, I.R.1    Shippy, D.J.2    Rizzo, F.J.3
  • 25
    • 0038929033 scopus 로고
    • Boundary integrals in elastodynamics
    • Jones DS. Boundary integrals in elastodynamics. IMA J Appl Math 1985;34:83-97.
    • (1985) IMA J Appl Math , vol.34 , pp. 83-97
    • Jones, D.S.1
  • 26
    • 0027641296 scopus 로고
    • Hypersingular boundary integral-equations for radiation and scattering of elastic waves in 3 dimensions elastodynamic transmission problem
    • Liu YJ, Rizzo FJ. Hypersingular boundary integral-equations for radiation and scattering of elastic waves in 3 dimensions elastodynamic transmission problem. Comput Meth Appl Mech Eng 1993;107(1-2):131-44.
    • (1993) Comput Meth Appl Mech Eng , vol.107 , Issue.1-2 , pp. 131-144
    • Liu, Y.J.1    Rizzo, F.J.2
  • 27
    • 0009605935 scopus 로고
    • Elastodynamics
    • New York, USA: Academic Press
    • Eringen AC, Suhubi ES. Elastodynamics. Linear theory, vol. 2. New York, USA: Academic Press; 1975.
    • (1975) Linear Theory , vol.2
    • Eringen, A.C.1    Suhubi, E.S.2
  • 29
    • 0021866065 scopus 로고
    • A boundary integral equation method for radiation and scattering
    • Rizzo FJ, Shippy DJ, Rezayat M. A boundary integral equation method for radiation and scattering. Int J Numer Meth Eng 1985;21: 115-29.
    • (1985) Int J Numer Meth Eng , vol.21 , pp. 115-129
    • Rizzo, F.J.1    Shippy, D.J.2    Rezayat, M.3
  • 30
    • 0022046853 scopus 로고
    • Régularisation des équations intégrales de l'élastodynamique et de l'élastostatique
    • Bui HD, Loret B, Bonnet M. Régularisation des équations intégrales de l'élastodynamique et de l'élastostatique. Compte Rendu à l' Académie des Sciences: série II 1985;t.300(14):633-6.
    • (1985) Compte Rendu À L' Académie Des Sciences: Série II , vol.300 , Issue.14 , pp. 633-636
    • Bui, H.D.1    Loret, B.2    Bonnet, M.3
  • 33
    • 0033078766 scopus 로고    scopus 로고
    • Static fundamental solutions for a bi-material full-space
    • Guzina BB, Pak RYS. Static fundamental solutions for a bi-material full-space. Int J Solids Struct 1999;36:493-516.
    • (1999) Int J Solids Struct , vol.36 , pp. 493-516
    • Guzina, B.B.1    Rys, P.2
  • 34
    • 0034345704 scopus 로고    scopus 로고
    • Hadamard regularization
    • Blanchet L, Faye G. Hadamard regularization. J Math Phys 2000;41(11):7675-714.
    • (2000) J Math Phys , vol.41 , Issue.11 , pp. 7675-7714
    • Blanchet, L.1    Faye, G.2
  • 35
    • 0027576111 scopus 로고
    • Regularization in 3d for anisotropic elastodynamic crack and obstacle problems
    • Becache E, Nedelec JC, Nishimura N. Regularization in 3d for anisotropic elastodynamic crack and obstacle problems. J Elast 1993; 31:25-46.
    • (1993) J Elast , vol.31 , pp. 25-46
    • Becache, E.1    Nedelec, J.C.2    Nishimura, N.3
  • 37
    • 0023289297 scopus 로고
    • Impedance functions for foundations embedded in a layered medium: An integral equation approach
    • Apsel RJ, Luco JE. Impedance functions for foundations embedded in a layered medium: an integral equation approach. Earthquake Eng Struct Dyn 1987;15:213-31.
    • (1987) Earthquake Eng Struct Dyn , vol.15 , pp. 213-231
    • Apsel, R.J.1    Luco, J.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.