A Lagrangian PFEM approach for non-Newtonian viscoplastic materials

This paper presents the application of a stabilized mixed Particle Finite Element Method (PFEM) to the solution of viscoplastic non-Newtonian flows. The application of the proposed model to the deformation of granular non-cohesive material is analysed. A variable yield threshold modified Bingham mod...

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Detalhes bibliográficos
Autor: Larese De Tetto, Antonia|||0000-0002-7284-3926
Formato: artículo
Fecha de publicación:2017
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/104777
Acesso em linha:https://hdl.handle.net/2117/104777
https://dx.doi.org/10.1016/j.rimni.2016.07.002
Access Level:acceso abierto
Palavra-chave:Viscoplasticity--Mathematical models
Bingham plastics
Viscoplastic materials
Free surface
Lagrangian techniques
Particle Finite Element Method
PFEM
Viscoplasticitat
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
Àrees temàtiques de la UPC::Enginyeria dels materials::Materials plàstics i polímers
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oai_identifier_str oai:upcommons.upc.edu:2117/104777
network_acronym_str ES
network_name_str España
repository_id_str
spelling A Lagrangian PFEM approach for non-Newtonian viscoplastic materialsLarese De Tetto, Antonia|||0000-0002-7284-3926Viscoplasticity--Mathematical modelsBingham plasticsViscoplastic materialsFree surfaceLagrangian techniquesParticle Finite Element MethodPFEMViscoplasticitatÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finitsÀrees temàtiques de la UPC::Enginyeria dels materials::Materials plàstics i polímersThis paper presents the application of a stabilized mixed Particle Finite Element Method (PFEM) to the solution of viscoplastic non-Newtonian flows. The application of the proposed model to the deformation of granular non-cohesive material is analysed. A variable yield threshold modified Bingham model is presented, using a Mohr Coulomb resistance criterion. Since the granular material is expected to undergo severe deformation, a Lagrangian approach is preferred to a fixed mesh one. PFEM is the adopted technique. The detail of the discretization procedure is presented and the Algebraic Sub-Grid Scale (ASGS) stabilization technique is introduced to allow for the use of equal order interpolations for velocity and pressure in a consistent way. The matrix form of the problem is given. Finally, the differences between the regularized Bingham and the variable yield models are discussed in some examples.Peer ReviewedUniversitat Politècnica de Catalunya. CIMNE20172017-07-0120172017-05-23journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/104777https://dx.doi.org/10.1016/j.rimni.2016.07.002reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1047772026-05-27T15:37:01Z
dc.title.none.fl_str_mv A Lagrangian PFEM approach for non-Newtonian viscoplastic materials
title A Lagrangian PFEM approach for non-Newtonian viscoplastic materials
spellingShingle A Lagrangian PFEM approach for non-Newtonian viscoplastic materials
Larese De Tetto, Antonia|||0000-0002-7284-3926
Viscoplasticity--Mathematical models
Bingham plastics
Viscoplastic materials
Free surface
Lagrangian techniques
Particle Finite Element Method
PFEM
Viscoplasticitat
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
Àrees temàtiques de la UPC::Enginyeria dels materials::Materials plàstics i polímers
title_short A Lagrangian PFEM approach for non-Newtonian viscoplastic materials
title_full A Lagrangian PFEM approach for non-Newtonian viscoplastic materials
title_fullStr A Lagrangian PFEM approach for non-Newtonian viscoplastic materials
title_full_unstemmed A Lagrangian PFEM approach for non-Newtonian viscoplastic materials
title_sort A Lagrangian PFEM approach for non-Newtonian viscoplastic materials
dc.creator.none.fl_str_mv Larese De Tetto, Antonia|||0000-0002-7284-3926
author Larese De Tetto, Antonia|||0000-0002-7284-3926
author_facet Larese De Tetto, Antonia|||0000-0002-7284-3926
author_role author
dc.subject.none.fl_str_mv Viscoplasticity--Mathematical models
Bingham plastics
Viscoplastic materials
Free surface
Lagrangian techniques
Particle Finite Element Method
PFEM
Viscoplasticitat
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
Àrees temàtiques de la UPC::Enginyeria dels materials::Materials plàstics i polímers
topic Viscoplasticity--Mathematical models
Bingham plastics
Viscoplastic materials
Free surface
Lagrangian techniques
Particle Finite Element Method
PFEM
Viscoplasticitat
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
Àrees temàtiques de la UPC::Enginyeria dels materials::Materials plàstics i polímers
description This paper presents the application of a stabilized mixed Particle Finite Element Method (PFEM) to the solution of viscoplastic non-Newtonian flows. The application of the proposed model to the deformation of granular non-cohesive material is analysed. A variable yield threshold modified Bingham model is presented, using a Mohr Coulomb resistance criterion. Since the granular material is expected to undergo severe deformation, a Lagrangian approach is preferred to a fixed mesh one. PFEM is the adopted technique. The detail of the discretization procedure is presented and the Algebraic Sub-Grid Scale (ASGS) stabilization technique is introduced to allow for the use of equal order interpolations for velocity and pressure in a consistent way. The matrix form of the problem is given. Finally, the differences between the regularized Bingham and the variable yield models are discussed in some examples.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-07-01
2017
2017-05-23
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/104777
https://dx.doi.org/10.1016/j.rimni.2016.07.002
url https://hdl.handle.net/2117/104777
https://dx.doi.org/10.1016/j.rimni.2016.07.002
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de Catalunya. CIMNE
publisher.none.fl_str_mv Universitat Politècnica de Catalunya. CIMNE
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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