Transmission and Reflection of Strongly Nonlinear SolitaryWaves at Granular Interfaces

Autores
Tichler, A. M.; Gomez, Leopoldo Raimundo; Upadhyaya, N.; Campman, X.; Nesterenko, V. F.; Vitelli, V.
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The interaction of a solitary wave with an interface formed by two strongly nonlinear noncohesive granular lattices displays rich behavior, characterized by the breakdown of continuum equations of motion in the vicinity of the interface. By treating the solitary wave as a quasiparticle with an effective mass, we construct an intuitive (energy- and linear-momentum-conserving) discrete model to predict the amplitudes of the transmitted solitary waves generated when an incident solitary-wave front, parallel to the interface, moves from a denser to a lighter granular hexagonal lattice. Our findings are corroborated with simulations. We then successfully extend this model to oblique interfaces, where we find that the angle of refraction and reflection of a solitary wave follows, below a critical value, an analogue of Snell?s law in which the solitary-wave speed replaces the speed of sound, which is zero in the sonic vacuum.
Fil: Tichler, A. M.. Universiteit Leide. Instituut-Lorentz for Theoretical Physics; Holanda; Shell Global Solutions International; Holanda;
Fil: Gomez, Leopoldo Raimundo. Universidad Nacional del Sur; Consejo Nacional de Invest Cientifícas y Tecnicas. Centro Cientifico Tecnológico - CONICET - Bahia Blanca. Instituto de Fisica del Sur; Argentina;
Fil: Upadhyaya, N.. Universiteit Leide. Instituut-Lorentz for Theoretical Physics; Holanda;
Fil: Campman, X. Shell Global Solutions International; Holanda;
Fil: Nesterenko, V. F.. University of California. Jacobs School of Engineering; Estados Unidos de América;
Fil: Vitelli, V.. Universiteit Leide. Instituut-Lorentz for Theoretical Physics; Holanda;
Materia
Granular Media
Non-linear elastic waves
Shock waves
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/655
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/655
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Transmission and Reflection of Strongly Nonlinear SolitaryWaves at Granular InterfacesTichler, A. M.Gomez, Leopoldo RaimundoUpadhyaya, N.Campman, X.Nesterenko, V. F.Vitelli, V.Granular MediaNon-linear elastic wavesShock waveshttps://purl.org/becyt/ford/1https://purl.org/becyt/ford/1.3The interaction of a solitary wave with an interface formed by two strongly nonlinear noncohesive granular lattices displays rich behavior, characterized by the breakdown of continuum equations of motion in the vicinity of the interface. By treating the solitary wave as a quasiparticle with an effective mass, we construct an intuitive (energy- and linear-momentum-conserving) discrete model to predict the amplitudes of the transmitted solitary waves generated when an incident solitary-wave front, parallel to the interface, moves from a denser to a lighter granular hexagonal lattice. Our findings are corroborated with simulations. We then successfully extend this model to oblique interfaces, where we find that the angle of refraction and reflection of a solitary wave follows, below a critical value, an analogue of Snell?s law in which the solitary-wave speed replaces the speed of sound, which is zero in the sonic vacuum.Fil: Tichler, A. M.. Universiteit Leide. Instituut-Lorentz for Theoretical Physics; Holanda; Shell Global Solutions International; Holanda;Fil: Gomez, Leopoldo Raimundo. Universidad Nacional del Sur; Consejo Nacional de Invest Cientifícas y Tecnicas. Centro Cientifico Tecnológico - CONICET - Bahia Blanca. Instituto de Fisica del Sur; Argentina;Fil: Upadhyaya, N.. Universiteit Leide. Instituut-Lorentz for Theoretical Physics; Holanda;Fil: Campman, X. Shell Global Solutions International; Holanda;Fil: Nesterenko, V. F.. University of California. Jacobs School of Engineering; Estados Unidos de América;Fil: Vitelli, V.. Universiteit Leide. Instituut-Lorentz for Theoretical Physics; Holanda;Amer Physical Soc2013-03-23info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/655Tichler, A. M.; Gomez, Leopoldo Raimundo; Upadhyaya, N.; Campman, X; Nesterenko, V. F.; Vitelli, V.; Transmission and Reflection of Strongly Nonlinear SolitaryWaves at Granular Interfaces; Amer Physical Soc; Physical Review Letters; 111; 23-3-2013; 480011-480015;0031-9007enginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.111.048001info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/pdf/1303.5890v1.pdfinfo:eu-repo/semantics/altIdentifier/url/http://prl.aps.org/abstract/PRL/v111/i4/e048001info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:47:44Zoai:ri.conicet.gov.ar:11336/655instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:47:44.535CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Transmission and Reflection of Strongly Nonlinear SolitaryWaves at Granular Interfaces
title Transmission and Reflection of Strongly Nonlinear SolitaryWaves at Granular Interfaces
spellingShingle Transmission and Reflection of Strongly Nonlinear SolitaryWaves at Granular Interfaces
Tichler, A. M.
Granular Media
Non-linear elastic waves
Shock waves
title_short Transmission and Reflection of Strongly Nonlinear SolitaryWaves at Granular Interfaces
title_full Transmission and Reflection of Strongly Nonlinear SolitaryWaves at Granular Interfaces
title_fullStr Transmission and Reflection of Strongly Nonlinear SolitaryWaves at Granular Interfaces
title_full_unstemmed Transmission and Reflection of Strongly Nonlinear SolitaryWaves at Granular Interfaces
title_sort Transmission and Reflection of Strongly Nonlinear SolitaryWaves at Granular Interfaces
dc.creator.none.fl_str_mv Tichler, A. M.
Gomez, Leopoldo Raimundo
Upadhyaya, N.
Campman, X.
Nesterenko, V. F.
Vitelli, V.
author Tichler, A. M.
author_facet Tichler, A. M.
Gomez, Leopoldo Raimundo
Upadhyaya, N.
Campman, X.
Nesterenko, V. F.
Vitelli, V.
author_role author
author2 Gomez, Leopoldo Raimundo
Upadhyaya, N.
Campman, X.
Nesterenko, V. F.
Vitelli, V.
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv Granular Media
Non-linear elastic waves
Shock waves
topic Granular Media
Non-linear elastic waves
Shock waves
purl_subject.fl_str_mv https://purl.org/becyt/ford/1
https://purl.org/becyt/ford/1.3
dc.description.none.fl_txt_mv The interaction of a solitary wave with an interface formed by two strongly nonlinear noncohesive granular lattices displays rich behavior, characterized by the breakdown of continuum equations of motion in the vicinity of the interface. By treating the solitary wave as a quasiparticle with an effective mass, we construct an intuitive (energy- and linear-momentum-conserving) discrete model to predict the amplitudes of the transmitted solitary waves generated when an incident solitary-wave front, parallel to the interface, moves from a denser to a lighter granular hexagonal lattice. Our findings are corroborated with simulations. We then successfully extend this model to oblique interfaces, where we find that the angle of refraction and reflection of a solitary wave follows, below a critical value, an analogue of Snell?s law in which the solitary-wave speed replaces the speed of sound, which is zero in the sonic vacuum.
Fil: Tichler, A. M.. Universiteit Leide. Instituut-Lorentz for Theoretical Physics; Holanda; Shell Global Solutions International; Holanda;
Fil: Gomez, Leopoldo Raimundo. Universidad Nacional del Sur; Consejo Nacional de Invest Cientifícas y Tecnicas. Centro Cientifico Tecnológico - CONICET - Bahia Blanca. Instituto de Fisica del Sur; Argentina;
Fil: Upadhyaya, N.. Universiteit Leide. Instituut-Lorentz for Theoretical Physics; Holanda;
Fil: Campman, X. Shell Global Solutions International; Holanda;
Fil: Nesterenko, V. F.. University of California. Jacobs School of Engineering; Estados Unidos de América;
Fil: Vitelli, V.. Universiteit Leide. Instituut-Lorentz for Theoretical Physics; Holanda;
description The interaction of a solitary wave with an interface formed by two strongly nonlinear noncohesive granular lattices displays rich behavior, characterized by the breakdown of continuum equations of motion in the vicinity of the interface. By treating the solitary wave as a quasiparticle with an effective mass, we construct an intuitive (energy- and linear-momentum-conserving) discrete model to predict the amplitudes of the transmitted solitary waves generated when an incident solitary-wave front, parallel to the interface, moves from a denser to a lighter granular hexagonal lattice. Our findings are corroborated with simulations. We then successfully extend this model to oblique interfaces, where we find that the angle of refraction and reflection of a solitary wave follows, below a critical value, an analogue of Snell?s law in which the solitary-wave speed replaces the speed of sound, which is zero in the sonic vacuum.
publishDate 2013
dc.date.none.fl_str_mv 2013-03-23
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/655
Tichler, A. M.; Gomez, Leopoldo Raimundo; Upadhyaya, N.; Campman, X; Nesterenko, V. F.; Vitelli, V.; Transmission and Reflection of Strongly Nonlinear SolitaryWaves at Granular Interfaces; Amer Physical Soc; Physical Review Letters; 111; 23-3-2013; 480011-480015;
0031-9007
url http://hdl.handle.net/11336/655
identifier_str_mv Tichler, A. M.; Gomez, Leopoldo Raimundo; Upadhyaya, N.; Campman, X; Nesterenko, V. F.; Vitelli, V.; Transmission and Reflection of Strongly Nonlinear SolitaryWaves at Granular Interfaces; Amer Physical Soc; Physical Review Letters; 111; 23-3-2013; 480011-480015;
0031-9007
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.111.048001
info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/pdf/1303.5890v1.pdf
info:eu-repo/semantics/altIdentifier/url/http://prl.aps.org/abstract/PRL/v111/i4/e048001
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Amer Physical Soc
publisher.none.fl_str_mv Amer Physical Soc
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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