Abstract
The method of boundary integral equations has been applied for the study of elastic wave propagation and diffraction for a long time [11]. Compared to other numerical techniques its major advantage is the ease with which Sommerfeld radiation conditions can be dealt with in unbounded domains. However the method is somewhat limited to homogeneous media or to only a few different materials.
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References
Achenbach J.D., Gautesen A.K., Mc Maken (1983) Ray methods for waves in elastic solids. Pitman.
Aki K., Richards P.G. (1980) Quantitative seismology Theory and Methods, Freeman, San Francisco.
Aubry D., Chapel F., Crepel J.M. (1985) Interaction sol-structure linéaire sur un sol hétérogène, Génie Parasismique (V. Davidovici ed.), Presses ENPC, VI, pp 485–506.
Aubry D., Chapel F., Crepel J.M. (1985) Calcul sismique de fondations sur pieux, Génie Parasismique ( V. Davidovici ed. ), Presses ENPC, VI, pp 533–547.
Chapel F. (1981) Application de la méthode des équations intégrales à la dynamique des sols, Thèse de Docteur Ingénieur, Ecole Centrale de Paris.
Chapel F., Tsakaladis C. (1985) Computation of the Green’s functions of elastodynamics for a layered half space through a Hankel transform. Applications to foundation vibration and seismology, Numerical Methods in Geomechanics (Ed. Kawamoto, Ichikawa), Balkema, pp 1311–1318..
Chapel F. (1986) Application de la méthode des équations intégrales à l’interaction sol-structure linéaire sur un sol hétérogène. Actes ler Colloque Français de Génie Parasismique..Ass. Française Génie Parasismique. 4, 37–48.
Chu L.L., Askar A., Cakmak A.S. (1981) An approximate method for soil-structure interaction for SH-waves–The Born approximation, Earthquake Engineering and Structural Dynamics, 9, pp 205–219.
Felsen L.B. (1984) Hybrid formulation of wave propagation and scattering, Martinus Nijhoff Publishers.
Kennett B.L.N. (1983) Seismic wave propagation in stratified media, Cambridge University Press.
Kupradze V.D. (1963) Dynamical Problems in Elasticity, Progress in Solid Mechanics, North Holland.
Luco J.E., Apsel R.J. (1982) On the Green’s functions for layered media: part land 2, Bull. Seism. Soc. Amer., 73, 4, pp 909–931.
Tsakaladis C. (1985) Diffraction d’ondes sismiques sur les structures sur pieux et fonctions de Green du sol multicouche. Thèse de Docteur Ingénieur, Ecole Centrale de Paris.
Wolf J.P., Darbre G.R. (1984) Dynamic stiffness matrix of soil by the boundary -element method: conceptual aspects, Earthquake Engineering and Structural Dynamics, 12, pp 385–400.
Wolf J.P., Darbre G.R. (1984) Dynamic stiffness matrix of soil by the boundary -element method embedded foundations, Earthquake Engineering and Structural Dynamics, 12, pp 401–416.
Wolf J.P. (1985) Dynamic soil-structure interaction, Prentice Hall.
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© 1988 Springer-Verlag Berlin Heidelberg
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Aubry, D., Crépel, J.M. (1988). Hybrid Formulation for the Green Function in Stratified Media: Application to Wave Scattering Against Lateral Heterogeneities. In: Cruse, T.A. (eds) Advanced Boundary Element Methods. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83003-7_2
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DOI: https://doi.org/10.1007/978-3-642-83003-7_2
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