Effects of Inertia on the Steady-Shear Rheology of Disordered Solids

Autores
Nicolas, Alexandre; Barrat, Jean Louis; Rottler, Jörg
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the finite-shear-rate rheology of disordered solids by means of molecular dynamics simulations in two dimensions. By systematically varying the damping strength ζ in the low-temperature limit, we identify two well-defined flow regimes, separated by a thin (temperature-dependent) crossover region. In the overdamped regime, the athermal rheology is governed by the competition between elastic forces and viscous forces, whose ratio gives the Weissenberg number Wiζγ the macroscopic stress Σ follows the frequently encountered Herschel-Bulkley law Σ=Σ0+kWi, with yield stress Σ0>0. In the underdamped (inertial) regime, dramatic changes in the rheology are observed for low damping: the flow curve becomes nonmonotonic. This change is not caused by longer-lived correlations in the particle dynamics at lower damping; instead, for weak dissipation, the sample heats up considerably due to, and in proportion to, the driving. By thermostating more or less underdamped systems, we are able to link quantitatively the rheology to the kinetic temperature and the shear rate, rescaled with Einstein's vibration frequency.
Fil: Nicolas, Alexandre. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Université Grenoble Alpes; Francia. Centre National de la Recherche Scientifique; Francia
Fil: Barrat, Jean Louis. Université Grenoble Alpes; Francia. Centre National de la Recherche Scientifique; Francia
Fil: Rottler, Jörg. University of British Columbia; Canadá
Materia
Inertia
Disordered solids
Temperature
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:11336/60219
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Effects of Inertia on the Steady-Shear Rheology of Disordered SolidsNicolas, AlexandreBarrat, Jean LouisRottler, JörgInertiaDisordered solidsTemperaturehttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the finite-shear-rate rheology of disordered solids by means of molecular dynamics simulations in two dimensions. By systematically varying the damping strength ζ in the low-temperature limit, we identify two well-defined flow regimes, separated by a thin (temperature-dependent) crossover region. In the overdamped regime, the athermal rheology is governed by the competition between elastic forces and viscous forces, whose ratio gives the Weissenberg number Wiζγ the macroscopic stress Σ follows the frequently encountered Herschel-Bulkley law Σ=Σ0+kWi, with yield stress Σ0>0. In the underdamped (inertial) regime, dramatic changes in the rheology are observed for low damping: the flow curve becomes nonmonotonic. This change is not caused by longer-lived correlations in the particle dynamics at lower damping; instead, for weak dissipation, the sample heats up considerably due to, and in proportion to, the driving. By thermostating more or less underdamped systems, we are able to link quantitatively the rheology to the kinetic temperature and the shear rate, rescaled with Einstein's vibration frequency.Fil: Nicolas, Alexandre. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Université Grenoble Alpes; Francia. Centre National de la Recherche Scientifique; FranciaFil: Barrat, Jean Louis. Université Grenoble Alpes; Francia. Centre National de la Recherche Scientifique; FranciaFil: Rottler, Jörg. University of British Columbia; CanadáAmerican Physical Society2016-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/60219Nicolas, Alexandre; Barrat, Jean Louis; Rottler, Jörg; Effects of Inertia on the Steady-Shear Rheology of Disordered Solids; American Physical Society; Physical Review Letters; 116; 5; 2-2016; 58303-583070031-9007CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.116.058303info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.058303info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:36:41Zoai:ri.conicet.gov.ar:11336/60219instacron: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 10:36:41.506CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Effects of Inertia on the Steady-Shear Rheology of Disordered Solids
title Effects of Inertia on the Steady-Shear Rheology of Disordered Solids
spellingShingle Effects of Inertia on the Steady-Shear Rheology of Disordered Solids
Nicolas, Alexandre
Inertia
Disordered solids
Temperature
title_short Effects of Inertia on the Steady-Shear Rheology of Disordered Solids
title_full Effects of Inertia on the Steady-Shear Rheology of Disordered Solids
title_fullStr Effects of Inertia on the Steady-Shear Rheology of Disordered Solids
title_full_unstemmed Effects of Inertia on the Steady-Shear Rheology of Disordered Solids
title_sort Effects of Inertia on the Steady-Shear Rheology of Disordered Solids
dc.creator.none.fl_str_mv Nicolas, Alexandre
Barrat, Jean Louis
Rottler, Jörg
author Nicolas, Alexandre
author_facet Nicolas, Alexandre
Barrat, Jean Louis
Rottler, Jörg
author_role author
author2 Barrat, Jean Louis
Rottler, Jörg
author2_role author
author
dc.subject.none.fl_str_mv Inertia
Disordered solids
Temperature
topic Inertia
Disordered solids
Temperature
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the finite-shear-rate rheology of disordered solids by means of molecular dynamics simulations in two dimensions. By systematically varying the damping strength ζ in the low-temperature limit, we identify two well-defined flow regimes, separated by a thin (temperature-dependent) crossover region. In the overdamped regime, the athermal rheology is governed by the competition between elastic forces and viscous forces, whose ratio gives the Weissenberg number Wiζγ the macroscopic stress Σ follows the frequently encountered Herschel-Bulkley law Σ=Σ0+kWi, with yield stress Σ0>0. In the underdamped (inertial) regime, dramatic changes in the rheology are observed for low damping: the flow curve becomes nonmonotonic. This change is not caused by longer-lived correlations in the particle dynamics at lower damping; instead, for weak dissipation, the sample heats up considerably due to, and in proportion to, the driving. By thermostating more or less underdamped systems, we are able to link quantitatively the rheology to the kinetic temperature and the shear rate, rescaled with Einstein's vibration frequency.
Fil: Nicolas, Alexandre. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Université Grenoble Alpes; Francia. Centre National de la Recherche Scientifique; Francia
Fil: Barrat, Jean Louis. Université Grenoble Alpes; Francia. Centre National de la Recherche Scientifique; Francia
Fil: Rottler, Jörg. University of British Columbia; Canadá
description We study the finite-shear-rate rheology of disordered solids by means of molecular dynamics simulations in two dimensions. By systematically varying the damping strength ζ in the low-temperature limit, we identify two well-defined flow regimes, separated by a thin (temperature-dependent) crossover region. In the overdamped regime, the athermal rheology is governed by the competition between elastic forces and viscous forces, whose ratio gives the Weissenberg number Wiζγ the macroscopic stress Σ follows the frequently encountered Herschel-Bulkley law Σ=Σ0+kWi, with yield stress Σ0>0. In the underdamped (inertial) regime, dramatic changes in the rheology are observed for low damping: the flow curve becomes nonmonotonic. This change is not caused by longer-lived correlations in the particle dynamics at lower damping; instead, for weak dissipation, the sample heats up considerably due to, and in proportion to, the driving. By thermostating more or less underdamped systems, we are able to link quantitatively the rheology to the kinetic temperature and the shear rate, rescaled with Einstein's vibration frequency.
publishDate 2016
dc.date.none.fl_str_mv 2016-02
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/11336/60219
Nicolas, Alexandre; Barrat, Jean Louis; Rottler, Jörg; Effects of Inertia on the Steady-Shear Rheology of Disordered Solids; American Physical Society; Physical Review Letters; 116; 5; 2-2016; 58303-58307
0031-9007
CONICET Digital
CONICET
url http://hdl.handle.net/11336/60219
identifier_str_mv Nicolas, Alexandre; Barrat, Jean Louis; Rottler, Jörg; Effects of Inertia on the Steady-Shear Rheology of Disordered Solids; American Physical Society; Physical Review Letters; 116; 5; 2-2016; 58303-58307
0031-9007
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.116.058303
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.058303
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 American Physical Society
publisher.none.fl_str_mv American Physical Society
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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