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Second-harmonic generation for dispersive elastic waves in a discrete granular chain

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Second-harmonic generation for dispersive elastic waves in a discrete granular chain

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dc.contributor.author Sánchez Morcillo, Víctor José es_ES
dc.contributor.author Pérez Arjona, Isabel es_ES
dc.contributor.author Romero García, Vicente es_ES
dc.contributor.author Tournat, Vincent es_ES
dc.contributor.author Gusev, V. E. es_ES
dc.date.accessioned 2014-11-05T14:56:32Z
dc.date.available 2014-11-05T14:56:32Z
dc.date.issued 2013-10-04
dc.identifier.issn 1539-3755
dc.identifier.uri http://hdl.handle.net/10251/43898
dc.description.abstract The propagation of nonlinear compressional waves in a one-dimensional granular chain driven at one end by a harmonic excitation is studied. The chain is described by a Fermi-Pasta-Ulam (FPU) lattice model with quadratic nonlinearity (alpha-FPU model), valid for strong initial compression of the chain by an external static force. A successive approximations method is used to obtain the analytical expressions for the amplitudes of the static displacement field and of the fundamental and second harmonics propagating through the lattice. Both propagating and evanescent second harmonics are shown to influence the nonlinear propagation characteristics of the fundamental frequency. The propagating regime is characterized by a periodic energy transfer between first and second harmonics, resulting from dispersion, which disappears when the second harmonic becomes evanescent. es_ES
dc.description.sponsorship The work was financially supported by the MICINN of the Spanish Government, under Grant No. FIS2011-29734-C02-02 and by ANR Project Stabingram No. ANR-2010-BLAN-0927-03. V. S.-M. and I. P.-A. acknowledge financial support from Generalitat Valenciana, the Spanish Ministry of Science and Innovation, and Universitat Politecnica de Valencia. V. R.-G. is grateful for the support of "Programa de Contratos Post-Doctorales conMovilidad UPV del Campus de Eexcelencia Internacional (CEI-01-11)" and of Grant No. BEST2012 of the Generalitat Valenciana. en_EN
dc.language Inglés es_ES
dc.publisher American Physical Society es_ES
dc.relation.ispartof Physical Review E es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject SOLITARY WAVES es_ES
dc.subject TRANSMISSION es_ES
dc.subject PROPAGATION es_ES
dc.subject LATTICES es_ES
dc.subject MODEL es_ES
dc.subject.classification FISICA APLICADA es_ES
dc.title Second-harmonic generation for dispersive elastic waves in a discrete granular chain es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1103/PhysRevE.88.043203
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//FIS2011-29734-C02-02/ES/CONTROL DE LA DIFRACCION DEL SONIDO EN MEDIOS MODULADOS: FOCALIZACION, FILTRADO ESPACIAL Y OTROS EFECTOS DE CONFORMACION DE HACES TRAS LA TRANSMISION Y REFLEXION/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UPV//CEI-01-11/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/ANR//ANR-10-BLAN-0927/FR/Stability loss in granular media/STABINGRAM/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//BEST%2F2012/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Física Aplicada - Departament de Física Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto de Investigación para la Gestión Integral de Zonas Costeras - Institut d'Investigació per a la Gestió Integral de Zones Costaneres es_ES
dc.description.bibliographicCitation Sánchez Morcillo, VJ.; Pérez Arjona, I.; Romero García, V.; Tournat, V.; Gusev, VE. (2013). Second-harmonic generation for dispersive elastic waves in a discrete granular chain. Physical Review E. 88(4):43203-43203. https://doi.org/10.1103/PhysRevE.88.043203 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1103/PhysRevE.88.043203 es_ES
dc.description.upvformatpinicio 43203 es_ES
dc.description.upvformatpfin 43203 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 88 es_ES
dc.description.issue 4 es_ES
dc.relation.senia 249996
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Agence Nationale de la Recherche, Francia es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
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