On the generation of homogeneous, inhomogeneous and Goodier-Bishop elastic waves from the geometrical ray theory

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dc.citation.journalTitleARPN Journal of Engineering and Applied Sciences
dc.contributor.authorAristizabal, V.H.
dc.contributor.authorJaramillo, J.D.
dc.contributor.researchgroupMecánica Aplicadaspa
dc.date.accessioned2021-04-16T20:10:38Z
dc.date.available2021-04-16T20:10:38Z
dc.date.issued2015-01-01
dc.description.abstractIn 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. © 2006-2015 Asian Research Publishing Network (ARPN).eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1784
dc.identifier.issn17427061spa
dc.identifier.otherSCOPUS;2-s2.0-84929347144
dc.identifier.urihttp://hdl.handle.net/10784/29175
dc.language.isoengeng
dc.publisherAsian Research Publishing Network
dc.publisher.departmentUniversidad EAFIT. Departamento de Ingeniería Mecánicaspa
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84929347144&partnerID=40&md5=a5de9edfedf7703d1c4cb7e3ae4cef53
dc.rightsAsian Research Publishing Network
dc.sourceARPN Journal of Engineering and Applied Sciences
dc.subject.keywordAnalytical solutionseng
dc.subject.keywordDisplacement equationeng
dc.subject.keywordElastic waveseng
dc.subject.keywordGoodier-Bishop waveseng
dc.subject.keywordHelmholtz equationeng
dc.subject.keywordSeismic waveeng
dc.titleOn the generation of homogeneous, inhomogeneous and Goodier-Bishop elastic waves from the geometrical ray theoryeng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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