On the generation of homogeneous, inhomogeneous and goodier-bishop elastic waves from the geometrical ray theory

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...

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Autores:
Aristizabal Tique, Victor Hugo
Jaramillo, Juan David
Tipo de recurso:
Article of journal
Fecha de publicación:
2015
Institución:
Universidad Cooperativa de Colombia
Repositorio:
Repositorio UCC
Idioma:
OAI Identifier:
oai:repository.ucc.edu.co:20.500.12494/42624
Acceso en línea:
https://doi.org/10.4067/S0718-09502018000100079
https://www.tandfonline.com/doi/abs/10.1080/00319104.2014.915755
https://hdl.handle.net/20.500.12494/42624
Palabra clave:
Analytical solutions
Displacement equation
Elastic waves
Goodier-Bishop waves
Helmholtz equation
Seismic wave
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closedAccess
License
http://purl.org/coar/access_right/c_14cb
id COOPER2_84c160013bd69d360219577058d6756c
oai_identifier_str oai:repository.ucc.edu.co:20.500.12494/42624
network_acronym_str COOPER2
network_name_str Repositorio UCC
repository_id_str
spelling Aristizabal Tique, Victor HugoJaramillo, Juan David2021-12-16T22:16:24Z2021-12-16T22:16:24Z2015https://doi.org/10.4067/S0718-09502018000100079https://www.tandfonline.com/doi/abs/10.1080/00319104.2014.91575518196608https://hdl.handle.net/20.500.12494/42624ARISTIZABAL VH,Jaramillo JD. On the generation of homogeneous, inhomogeneous and goodier-bishop elastic waves from the geometrical ray theory. ARPN J. Eng. Appl. Sci. 2015. 10. (8):p. 3436-3450. .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. © 2006-2015 Asian Research Publishing Network (ARPN).0000-0002-7880-5883victor.aristizabalt@campusucc.edu.co3450-3436Asian Research Publishing Network (ARPN)Analytical solutionsDisplacement equationElastic wavesGoodier-Bishop wavesHelmholtz equationSeismic waveOn the generation of homogeneous, inhomogeneous and goodier-bishop elastic waves from the geometrical ray theoryArtículohttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionARPN Journal of Engineering and Applied Sciencesinfo:eu-repo/semantics/closedAccesshttp://purl.org/coar/access_right/c_14cbPublication20.500.12494/42624oai:repository.ucc.edu.co:20.500.12494/426242024-08-20 16:23:15.079metadata.onlyhttps://repository.ucc.edu.coRepositorio Institucional Universidad Cooperativa de Colombiabdigital@metabiblioteca.com
dc.title.spa.fl_str_mv On the generation of homogeneous, inhomogeneous and goodier-bishop elastic waves from the geometrical ray theory
title On the generation of homogeneous, inhomogeneous and goodier-bishop elastic waves from the geometrical ray theory
spellingShingle On the generation of homogeneous, inhomogeneous and goodier-bishop elastic waves from the geometrical ray theory
Analytical solutions
Displacement equation
Elastic waves
Goodier-Bishop waves
Helmholtz equation
Seismic wave
title_short On the generation of homogeneous, inhomogeneous and goodier-bishop elastic waves from the geometrical ray theory
title_full On the generation of homogeneous, inhomogeneous and goodier-bishop elastic waves from the geometrical ray theory
title_fullStr On the generation of homogeneous, inhomogeneous and goodier-bishop elastic waves from the geometrical ray theory
title_full_unstemmed On the generation of homogeneous, inhomogeneous and goodier-bishop elastic waves from the geometrical ray theory
title_sort On the generation of homogeneous, inhomogeneous and goodier-bishop elastic waves from the geometrical ray theory
dc.creator.fl_str_mv Aristizabal Tique, Victor Hugo
Jaramillo, Juan David
dc.contributor.author.none.fl_str_mv Aristizabal Tique, Victor Hugo
Jaramillo, Juan David
dc.subject.spa.fl_str_mv Analytical solutions
Displacement equation
Elastic waves
Goodier-Bishop waves
Helmholtz equation
Seismic wave
topic Analytical solutions
Displacement equation
Elastic waves
Goodier-Bishop waves
Helmholtz equation
Seismic wave
description 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. © 2006-2015 Asian Research Publishing Network (ARPN).
publishDate 2015
dc.date.issued.none.fl_str_mv 2015
dc.date.accessioned.none.fl_str_mv 2021-12-16T22:16:24Z
dc.date.available.none.fl_str_mv 2021-12-16T22:16:24Z
dc.type.none.fl_str_mv Artículo
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.coar.none.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.coarversion.none.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.driver.none.fl_str_mv info:eu-repo/semantics/article
dc.type.redcol.none.fl_str_mv http://purl.org/redcol/resource_type/ART
dc.type.version.none.fl_str_mv info:eu-repo/semantics/publishedVersion
format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.4067/S0718-09502018000100079
https://www.tandfonline.com/doi/abs/10.1080/00319104.2014.915755
dc.identifier.issn.spa.fl_str_mv 18196608
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12494/42624
dc.identifier.bibliographicCitation.spa.fl_str_mv ARISTIZABAL VH,Jaramillo JD. On the generation of homogeneous, inhomogeneous and goodier-bishop elastic waves from the geometrical ray theory. ARPN J. Eng. Appl. Sci. 2015. 10. (8):p. 3436-3450. .
url https://doi.org/10.4067/S0718-09502018000100079
https://www.tandfonline.com/doi/abs/10.1080/00319104.2014.915755
https://hdl.handle.net/20.500.12494/42624
identifier_str_mv 18196608
ARISTIZABAL VH,Jaramillo JD. On the generation of homogeneous, inhomogeneous and goodier-bishop elastic waves from the geometrical ray theory. ARPN J. Eng. Appl. Sci. 2015. 10. (8):p. 3436-3450. .
dc.relation.ispartofjournal.spa.fl_str_mv ARPN Journal of Engineering and Applied Sciences
dc.rights.accessrights.none.fl_str_mv info:eu-repo/semantics/closedAccess
dc.rights.coar.none.fl_str_mv http://purl.org/coar/access_right/c_14cb
eu_rights_str_mv closedAccess
rights_invalid_str_mv http://purl.org/coar/access_right/c_14cb
dc.format.extent.spa.fl_str_mv 3450-3436
dc.publisher.spa.fl_str_mv Asian Research Publishing Network (ARPN)
institution Universidad Cooperativa de Colombia
repository.name.fl_str_mv Repositorio Institucional Universidad Cooperativa de Colombia
repository.mail.fl_str_mv bdigital@metabiblioteca.com
_version_ 1814247331204169728

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