Diffraction of SH cylindrical waves by a finite crack: an analytical solution

P>A new analytic solution for the problem of a line source of harmonic SH waves that struck a finite 2-D plane crack is introduced. This construct is based on Macdonald's solution for the problem of cylindrical acoustic waves diffracted by a wedge. We consider this approach, since special ca...

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Autores: Iturraran-Viveros, U, Vai, R, Sánchez-Sesma, FJ
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:México
Institución:Universidad Nacional Autónoma de México
Repositorio:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/843
Acceso en línea:http://hdl.handle.net/11154/13982743
Access Level:acceso abierto
Palabra clave:Geochemistry & Geophysics
Theoretical seismology
Wave scattering and diffraction
Wave propagation
Fractures and faults
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spelling Diffraction of SH cylindrical waves by a finite crack: an analytical solutionIturraran-Viveros, UVai, RSánchez-Sesma, FJGeochemistry & GeophysicsTheoretical seismologyWave scattering and diffractionWave propagationFractures and faultsP>A new analytic solution for the problem of a line source of harmonic SH waves that struck a finite 2-D plane crack is introduced. This construct is based on Macdonald's solution for the problem of cylindrical acoustic waves diffracted by a wedge. We consider this approach, since special cases of wedges include semi-infinite cracks. The finite crack is assembled by superimposing the effects of two semi-infinite cracks. The new solution is obtained by taking into account diffracted waves generated at the edges travelling along the faces of the crack. Repeated wave fields that result from fitting the two cracks are removed. Comparisons with the results obtained with the Indirect Boundary Element Method (IBEM) are shown. Both frequency and time domain cases are included.2011-01-22T10:28:51Z2011-01-22T10:28:51Z2010info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0956-540Xhttp://hdl.handle.net/11154/1398274321010.1111/j.1365-246X.2010.04579.x181(3):1634-1642reponame:Sistema de Información de la Facultad de Ciencias, UNAMinstname:Universidad Nacional Autónoma de Méxicoinstacron:UNAMenGeophysical Journal Internationalinfo:eu-repo/semantics/openAccessoai:repositorio.fciencias.unam.mx:11154/8432025-09-17T19:19:52Z
dc.title.none.fl_str_mv Diffraction of SH cylindrical waves by a finite crack: an analytical solution
title Diffraction of SH cylindrical waves by a finite crack: an analytical solution
spellingShingle Diffraction of SH cylindrical waves by a finite crack: an analytical solution
Iturraran-Viveros, U
Geochemistry & Geophysics
Theoretical seismology
Wave scattering and diffraction
Wave propagation
Fractures and faults
title_short Diffraction of SH cylindrical waves by a finite crack: an analytical solution
title_full Diffraction of SH cylindrical waves by a finite crack: an analytical solution
title_fullStr Diffraction of SH cylindrical waves by a finite crack: an analytical solution
title_full_unstemmed Diffraction of SH cylindrical waves by a finite crack: an analytical solution
title_sort Diffraction of SH cylindrical waves by a finite crack: an analytical solution
dc.creator.none.fl_str_mv Iturraran-Viveros, U
Vai, R
Sánchez-Sesma, FJ
author Iturraran-Viveros, U
author_facet Iturraran-Viveros, U
Vai, R
Sánchez-Sesma, FJ
author_role author
author2 Vai, R
Sánchez-Sesma, FJ
author2_role author
author
dc.subject.none.fl_str_mv Geochemistry & Geophysics
Theoretical seismology
Wave scattering and diffraction
Wave propagation
Fractures and faults
topic Geochemistry & Geophysics
Theoretical seismology
Wave scattering and diffraction
Wave propagation
Fractures and faults
description P>A new analytic solution for the problem of a line source of harmonic SH waves that struck a finite 2-D plane crack is introduced. This construct is based on Macdonald's solution for the problem of cylindrical acoustic waves diffracted by a wedge. We consider this approach, since special cases of wedges include semi-infinite cracks. The finite crack is assembled by superimposing the effects of two semi-infinite cracks. The new solution is obtained by taking into account diffracted waves generated at the edges travelling along the faces of the crack. Repeated wave fields that result from fitting the two cracks are removed. Comparisons with the results obtained with the Indirect Boundary Element Method (IBEM) are shown. Both frequency and time domain cases are included.
publishDate 2010
dc.date.none.fl_str_mv 2010
2011-01-22T10:28:51Z
2011-01-22T10:28:51Z
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv 0956-540X
http://hdl.handle.net/11154/13982743
210
10.1111/j.1365-246X.2010.04579.x
identifier_str_mv 0956-540X
210
10.1111/j.1365-246X.2010.04579.x
url http://hdl.handle.net/11154/13982743
dc.language.none.fl_str_mv en
language_invalid_str_mv en
dc.relation.none.fl_str_mv Geophysical Journal International
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv 181(3):1634-1642
reponame:Sistema de Información de la Facultad de Ciencias, UNAM
instname:Universidad Nacional Autónoma de México
instacron:UNAM
instname_str Universidad Nacional Autónoma de México
instacron_str UNAM
institution UNAM
reponame_str Sistema de Información de la Facultad de Ciencias, UNAM
collection Sistema de Información de la Facultad de Ciencias, UNAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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