On the existence of surface waves in an elastic half-space with impedance boundary conditions

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dc.contributor.authorGodoy, Eduardo
dc.contributor.authorDuran, Mario
dc.contributor.authorNedelec, Jean Claude
dc.date.accessioned2024-01-10T13:51:28Z
dc.date.available2024-01-10T13:51:28Z
dc.date.issued2012
dc.description.abstractIn this work, the problem of surface waves in an isotropic elastic half-space with impedance boundary conditions is investigated. It is assumed that the boundary is free of normal traction and the shear traction varies linearly with the tangential component of displacement multiplied by the frequency, where the impedance corresponds to the constant of proportionality. The standard traction-free boundary conditions are then retrieved for zero impedance. The secular equation for surface waves with impedance boundary conditions is derived in explicit form. The existence and uniqueness of the Rayleigh wave is properly established, and it is found that its velocity varies with the impedance. Moreover, we prove that an additional surface wave exists in a particular case, whose velocity lies between those of the longitudinal and the transverse waves. Numerical examples are presented to illustrate the obtained results. (C) 2012 Elsevier B.V. All rights reserved.
dc.description.funderProyecto ANILLO de Investigacion ADI30 del Programa Bicentenario en Ciencia y Tecnologia de Conicyt/World Bank (Chile)
dc.description.funderChilean scientific computing enterprise INGMAT S.A.
dc.fechaingreso.objetodigital16-04-2024
dc.format.extent10 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.wavemoti.2012.03.005
dc.identifier.issn0165-2125
dc.identifier.urihttps://doi.org/10.1016/j.wavemoti.2012.03.005
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/79604
dc.identifier.wosidWOS:000306046600002
dc.information.autorucIngeniería;Duran M ;S/I;100275
dc.issue.numero6
dc.language.isoen
dc.nota.accesoContenido parcial
dc.pagina.final594
dc.pagina.inicio585
dc.publisherELSEVIER SCIENCE BV
dc.revistaWAVE MOTION
dc.rightsacceso restringido
dc.subjectSurface waves
dc.subjectSecular equation
dc.subjectRayleigh waves
dc.subjectElastic half-space
dc.subjectImpedance boundary conditions
dc.subjectRAYLEIGH-WAVES
dc.subjectSECULAR EQUATION
dc.subjectHELMHOLTZ-EQUATION
dc.subjectVELOCITY
dc.subjectFORMULA
dc.subjectSPEED
dc.subjectEXPRESSIONS
dc.subjectPLANE
dc.subjectMEDIA
dc.subject.ods11 Sustainable Cities and Communities
dc.subject.odspa11 Ciudades y comunidades sostenibles
dc.titleOn the existence of surface waves in an elastic half-space with impedance boundary conditions
dc.typeartículo
dc.volumen49
sipa.codpersvinculados100275
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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