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Wave propagation in layered media by time domain BEM
Author(s) -
Cheung Y. K.,
Tham L. G.,
Lei Z. X.
Publication year - 1993
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290220305
Subject(s) - mathematical analysis , wave equation , boundary element method , fourier transform , time domain , integral equation , compatibility (geochemistry) , domain (mathematical analysis) , wave propagation , fourier series , mathematics , physics , optics , computer science , geology , finite element method , computer vision , thermodynamics , geochemistry
Abstract A time domain boundary element in a cylindrical co‐ordinate system is developed for the analysis of wave propagation in a layered half‐space. The field quantities (displacements and tractions) are expressed as products of Fourier series in the circumferential direction and as linear polynomials in the other spatial directions. An integral equation is written for each layer as an independent domain, and these equations are then assembled into a general equation by virtue of compatibility and equilibrium conditions between the interfaces. Examples of three‐dimensional wave propagation in the layered half‐spaces due to various forms of surface and inner‐domain excitations are reported to demonstrate the accuracy and versatility of the method.