Multi-scale modelling of arterial tissue: Linking networks of fibres to continua

Autores
Rocha, Felipe Figueredo; Blanco, Pablo Javier; Sánchez, Pablo Javier; Feijóo, Raúl Antonino
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work we develop a multi-scale model to characterise the large scale constitutive behaviour of a material featuring a small scale fibrous architecture. The Method of Multi-scale Virtual Power (MMVP) is employed to construct the model. At the macro-scale, a classical continuum mechanics problem is formulated in the finite strain regime. At the micro-scale, a network of fibres, modelled as one-dimensional continua, composes the representative volume element (RVE). The MMVP provides a full characterisation of the equilibrium problem at the RVE, with consistent boundary conditions, as well as the homogenisation formula which defines the first Piola–Kirchhoff stress tensor. Particular attention is given to the fact that the macro-scale continuum could be considered incompressible. Numerical experiments are presented and model consistency is verified against well-known phenomenological constitutive equations. Scenarios departing from the hypotheses of such phenomenological material models are discussed.
Fil: Rocha, Felipe Figueredo. Laboratório Nacional de Computação Científica; Brasil. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil
Fil: Blanco, Pablo Javier. Laboratório Nacional de Computação Científica; Brasil. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil
Fil: Sánchez, Pablo Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina. Universidad Tecnológica Nacional; Argentina
Fil: Feijóo, Raúl Antonino. Laboratório Nacional de Computação Científica; Brasil. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil
Materia
BIOLOGICAL TISSUES
FIBRE NETWORK
MULTI-SCALE MODELLING
NON-AFFINITY
REPRESENTATIVE VOLUME ELEMENT
VIRTUAL POWER
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/86262
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/86262
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Multi-scale modelling of arterial tissue: Linking networks of fibres to continuaRocha, Felipe FigueredoBlanco, Pablo JavierSánchez, Pablo JavierFeijóo, Raúl AntoninoBIOLOGICAL TISSUESFIBRE NETWORKMULTI-SCALE MODELLINGNON-AFFINITYREPRESENTATIVE VOLUME ELEMENTVIRTUAL POWERhttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2In this work we develop a multi-scale model to characterise the large scale constitutive behaviour of a material featuring a small scale fibrous architecture. The Method of Multi-scale Virtual Power (MMVP) is employed to construct the model. At the macro-scale, a classical continuum mechanics problem is formulated in the finite strain regime. At the micro-scale, a network of fibres, modelled as one-dimensional continua, composes the representative volume element (RVE). The MMVP provides a full characterisation of the equilibrium problem at the RVE, with consistent boundary conditions, as well as the homogenisation formula which defines the first Piola–Kirchhoff stress tensor. Particular attention is given to the fact that the macro-scale continuum could be considered incompressible. Numerical experiments are presented and model consistency is verified against well-known phenomenological constitutive equations. Scenarios departing from the hypotheses of such phenomenological material models are discussed.Fil: Rocha, Felipe Figueredo. Laboratório Nacional de Computação Científica; Brasil. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; BrasilFil: Blanco, Pablo Javier. Laboratório Nacional de Computação Científica; Brasil. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; BrasilFil: Sánchez, Pablo Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina. Universidad Tecnológica Nacional; ArgentinaFil: Feijóo, Raúl Antonino. Laboratório Nacional de Computação Científica; Brasil. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; BrasilElsevier Science Sa2018-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/86262Rocha, Felipe Figueredo; Blanco, Pablo Javier; Sánchez, Pablo Javier; Feijóo, Raúl Antonino; Multi-scale modelling of arterial tissue: Linking networks of fibres to continua; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 341; 11-2018; 740-7870045-7825CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2018.06.031info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0045782518303281info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:41:07Zoai:ri.conicet.gov.ar:11336/86262instacron: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 09:41:07.394CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Multi-scale modelling of arterial tissue: Linking networks of fibres to continua
title Multi-scale modelling of arterial tissue: Linking networks of fibres to continua
spellingShingle Multi-scale modelling of arterial tissue: Linking networks of fibres to continua
Rocha, Felipe Figueredo
BIOLOGICAL TISSUES
FIBRE NETWORK
MULTI-SCALE MODELLING
NON-AFFINITY
REPRESENTATIVE VOLUME ELEMENT
VIRTUAL POWER
title_short Multi-scale modelling of arterial tissue: Linking networks of fibres to continua
title_full Multi-scale modelling of arterial tissue: Linking networks of fibres to continua
title_fullStr Multi-scale modelling of arterial tissue: Linking networks of fibres to continua
title_full_unstemmed Multi-scale modelling of arterial tissue: Linking networks of fibres to continua
title_sort Multi-scale modelling of arterial tissue: Linking networks of fibres to continua
dc.creator.none.fl_str_mv Rocha, Felipe Figueredo
Blanco, Pablo Javier
Sánchez, Pablo Javier
Feijóo, Raúl Antonino
author Rocha, Felipe Figueredo
author_facet Rocha, Felipe Figueredo
Blanco, Pablo Javier
Sánchez, Pablo Javier
Feijóo, Raúl Antonino
author_role author
author2 Blanco, Pablo Javier
Sánchez, Pablo Javier
Feijóo, Raúl Antonino
author2_role author
author
author
dc.subject.none.fl_str_mv BIOLOGICAL TISSUES
FIBRE NETWORK
MULTI-SCALE MODELLING
NON-AFFINITY
REPRESENTATIVE VOLUME ELEMENT
VIRTUAL POWER
topic BIOLOGICAL TISSUES
FIBRE NETWORK
MULTI-SCALE MODELLING
NON-AFFINITY
REPRESENTATIVE VOLUME ELEMENT
VIRTUAL POWER
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv In this work we develop a multi-scale model to characterise the large scale constitutive behaviour of a material featuring a small scale fibrous architecture. The Method of Multi-scale Virtual Power (MMVP) is employed to construct the model. At the macro-scale, a classical continuum mechanics problem is formulated in the finite strain regime. At the micro-scale, a network of fibres, modelled as one-dimensional continua, composes the representative volume element (RVE). The MMVP provides a full characterisation of the equilibrium problem at the RVE, with consistent boundary conditions, as well as the homogenisation formula which defines the first Piola–Kirchhoff stress tensor. Particular attention is given to the fact that the macro-scale continuum could be considered incompressible. Numerical experiments are presented and model consistency is verified against well-known phenomenological constitutive equations. Scenarios departing from the hypotheses of such phenomenological material models are discussed.
Fil: Rocha, Felipe Figueredo. Laboratório Nacional de Computação Científica; Brasil. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil
Fil: Blanco, Pablo Javier. Laboratório Nacional de Computação Científica; Brasil. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil
Fil: Sánchez, Pablo Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina. Universidad Tecnológica Nacional; Argentina
Fil: Feijóo, Raúl Antonino. Laboratório Nacional de Computação Científica; Brasil. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil
description In this work we develop a multi-scale model to characterise the large scale constitutive behaviour of a material featuring a small scale fibrous architecture. The Method of Multi-scale Virtual Power (MMVP) is employed to construct the model. At the macro-scale, a classical continuum mechanics problem is formulated in the finite strain regime. At the micro-scale, a network of fibres, modelled as one-dimensional continua, composes the representative volume element (RVE). The MMVP provides a full characterisation of the equilibrium problem at the RVE, with consistent boundary conditions, as well as the homogenisation formula which defines the first Piola–Kirchhoff stress tensor. Particular attention is given to the fact that the macro-scale continuum could be considered incompressible. Numerical experiments are presented and model consistency is verified against well-known phenomenological constitutive equations. Scenarios departing from the hypotheses of such phenomenological material models are discussed.
publishDate 2018
dc.date.none.fl_str_mv 2018-11
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/11336/86262
Rocha, Felipe Figueredo; Blanco, Pablo Javier; Sánchez, Pablo Javier; Feijóo, Raúl Antonino; Multi-scale modelling of arterial tissue: Linking networks of fibres to continua; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 341; 11-2018; 740-787
0045-7825
CONICET Digital
CONICET
url http://hdl.handle.net/11336/86262
identifier_str_mv Rocha, Felipe Figueredo; Blanco, Pablo Javier; Sánchez, Pablo Javier; Feijóo, Raúl Antonino; Multi-scale modelling of arterial tissue: Linking networks of fibres to continua; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 341; 11-2018; 740-787
0045-7825
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2018.06.031
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0045782518303281
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science Sa
publisher.none.fl_str_mv Elsevier Science Sa
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
_version_ 1844613300270137344
score 13.070432

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