THE OUTGOING TIME-HARMONIC ELASTIC WAVE IN A HALF-PLANE WITH FREE BOUNDARY

dc.contributor.authorDuran, Mario
dc.contributor.authorMuga, Ignacio
dc.contributor.authorNedelec, Jean Claude
dc.date.accessioned2024-01-10T12:44:02Z
dc.date.available2024-01-10T12:44:02Z
dc.date.issued2011
dc.description.abstractUnder a time-harmonic assumption, we prove existence and uniqueness results for the outgoing elastic wave in an isotropic half-plane, where the source is given by a local normal stress excitation of the free boundary. This is the starting point for problems of elastic wave scattering by locally perturbed flat surfaces. The main difficulty is that the free boundary condition induces the propagation of a Rayleigh surface wave guided by the unbounded flat frontier. Due to the presence of this surface wave in the far field expansion, we need to impose a new radiation condition in order to describe both volume and surface outgoing wave behavior and to show uniqueness.
dc.description.funderCONICYT/World Bank
dc.description.funderPontificia Universidad Catolica de Valparaiso
dc.fechaingreso.objetodigital2024-05-14
dc.format.extent22 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1137/100786137
dc.identifier.issn0036-1399
dc.identifier.urihttps://doi.org/10.1137/100786137
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77641
dc.identifier.wosidWOS:000289974400003
dc.information.autorucIngeniería;Duran M;S/I;100275
dc.issue.numero2
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final464
dc.pagina.inicio443
dc.publisherSIAM PUBLICATIONS
dc.revistaSIAM JOURNAL ON APPLIED MATHEMATICS
dc.rightsacceso restringido
dc.subjectradiation condition
dc.subjectlinear elasticity
dc.subjecthalf-plane
dc.subjectRayleigh wave
dc.subjectuniqueness
dc.subjectINFINITE ROUGH SURFACES
dc.subjectRADIATION CONDITIONS
dc.subjectHELMHOLTZ-EQUATION
dc.subjectSCATTERING
dc.subjectUNIQUENESS
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleTHE OUTGOING TIME-HARMONIC ELASTIC WAVE IN A HALF-PLANE WITH FREE BOUNDARY
dc.typeartículo
dc.volumen71
sipa.codpersvinculados100275
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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