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Title: On the generation of homogeneous, inhomogeneous and Goodier-Bishop elastic waves from the geometrical ray theory
Author: Aristizábal Tique, Víctor Hugo
Jaramillo, Juan D
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Issue Date: 1-May-2015
Advisor / Validator: ARPN Journal of Engineering and Applied Sciences
Keywords: Elastic waves
Displacement equation
Analytical solutions
Goodier-Bishop waves
Helmholtz equation
seismic wave
Abstract: In this paper, a new group of exact and asymptotic analytical solutions of the displacement equation in a homogeneous elastic media, considering the most general solution of the Helmholtz equation, which have not been shown in papers and standard texts, are presented. Moreover, the authors show from the ray theory point of view the meaning of such solutions. These solutions could be helpful in future conceptual works about generation and emerging phenomena in elastic waves such as scattering and diffraction, among others, specifically in the analysis of the boundary conditions. Here, new kinds of P-S body waves that oscillate elliptically and propagate outward from sources in a full-space are found where, as special cases, the grazing longitudinal (Py) and transversal (SVy) waves of the Goodier-Bishop type, the analytic expressions for the Rayleigh wave and surface P waves, for which the amplitude decays from sources, are obtained. Also, the standard expressions for the homogeneous plane wavefronts, surface P waves, and Rayleigh surface waves, are achieved.
Program: Ingeniería Civil
Headquarters: Medellín
Type: Artículo
CC Licence: Licencia CC
Citation: Aristizabal Tique, V. H., & Jaramillo, J. D. (2015). On the generation of homogeneous, inhomogeneous and Goodier-Bishop elastic waves from the geometrical ray theory. ARPN Journal of Engineering and Applied Sciences, 10(8), 3436-3450. Recuperado de Asian Research Publishing Network (ARPN). All rights reserved.
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Appears in Collections:Ingeniería Civil

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