Identification of residual stresses in multi-layered arterial wall tissues using a variational framework

Autores
Ares, Gonzalo Damián; Blanco, Pablo Javier; Urquiza, Santiago Adrian; Feijóo, Raúl Antonino
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In the past decades a considerable amount of literature has been published addressing the study of the mechanical behavior of arterial walls. Ex-vivo experimentation made possible the development of constitutive models and the characterization of material parameters contributing to the understanding of the mechanobiological response of vascular tissues. Moreover, the existence of residual stresses in configurations free of load was revealed, and its impact in the general stress state of the tissue was quantified. In recent years, data assimilation techniques have seen a rapid development in cardiovascular modeling field, primarily focusing on the estimation of material parameters for arterial wall segments using information provided by medical imaging as well as by in-vitro settings. However, concerning the estimation of residual stresses, this research field is in its early stages, and much work is still required for the full functional characterization of arterial tissues. In this context, a conceptual variational framework for the development of residual stress estimation tools is proposed. Particularly, a variational formulation for the characterization of residual deformations and the associated stresses in arterial walls, based on full displacement field measurements of the vessel, is presented. Considering as known data the material parameters characterizing the behavior of the tissue and a set of arterial wall configurations at equilibrium with well defined pressure loads, we propose a cost functional that measures the mechanical imbalance caused by the lack of knowledge of residual stresses. In this manner, the characterization of residual stresses becomes a problem of minimizing such cost functional. Three numerical examples are presented highlighting the potential of the proposed approach. Among these examples, the characterization of residual stresses in a cylindrical geometry representing a three-layered aorta artery is performed.
Fil: Ares, Gonzalo Damián. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Blanco, Pablo Javier. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil
Fil: Urquiza, Santiago Adrian. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil. Universidad Nacional de Mar del Plata. Facultad de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Feijóo, Raúl Antonino. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil
Materia
ARTERIAL WALL
CHARACTERIZATION
RESIDUAL DEFORMATIONS
RESIDUAL STRESSES
VARIATIONAL FORMULATION
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:11336/74758
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Identification of residual stresses in multi-layered arterial wall tissues using a variational frameworkAres, Gonzalo DamiánBlanco, Pablo JavierUrquiza, Santiago AdrianFeijóo, Raúl AntoninoARTERIAL WALLCHARACTERIZATIONRESIDUAL DEFORMATIONSRESIDUAL STRESSESVARIATIONAL FORMULATIONhttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2In the past decades a considerable amount of literature has been published addressing the study of the mechanical behavior of arterial walls. Ex-vivo experimentation made possible the development of constitutive models and the characterization of material parameters contributing to the understanding of the mechanobiological response of vascular tissues. Moreover, the existence of residual stresses in configurations free of load was revealed, and its impact in the general stress state of the tissue was quantified. In recent years, data assimilation techniques have seen a rapid development in cardiovascular modeling field, primarily focusing on the estimation of material parameters for arterial wall segments using information provided by medical imaging as well as by in-vitro settings. However, concerning the estimation of residual stresses, this research field is in its early stages, and much work is still required for the full functional characterization of arterial tissues. In this context, a conceptual variational framework for the development of residual stress estimation tools is proposed. Particularly, a variational formulation for the characterization of residual deformations and the associated stresses in arterial walls, based on full displacement field measurements of the vessel, is presented. Considering as known data the material parameters characterizing the behavior of the tissue and a set of arterial wall configurations at equilibrium with well defined pressure loads, we propose a cost functional that measures the mechanical imbalance caused by the lack of knowledge of residual stresses. In this manner, the characterization of residual stresses becomes a problem of minimizing such cost functional. Three numerical examples are presented highlighting the potential of the proposed approach. Among these examples, the characterization of residual stresses in a cylindrical geometry representing a three-layered aorta artery is performed.Fil: Ares, Gonzalo Damián. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Blanco, Pablo Javier. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; BrasilFil: Urquiza, Santiago Adrian. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil. Universidad Nacional de Mar del Plata. Facultad de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Feijóo, Raúl Antonino. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; BrasilElsevier Science Sa2017-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/74758Ares, Gonzalo Damián; Blanco, Pablo Javier; Urquiza, Santiago Adrian; Feijóo, Raúl Antonino; Identification of residual stresses in multi-layered arterial wall tissues using a variational framework; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 319; 6-2017; 287-3130045-7825CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2017.02.028info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0045782516304194info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:44:56Zoai:ri.conicet.gov.ar:11336/74758instacron: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 09:44:56.613CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Identification of residual stresses in multi-layered arterial wall tissues using a variational framework
title Identification of residual stresses in multi-layered arterial wall tissues using a variational framework
spellingShingle Identification of residual stresses in multi-layered arterial wall tissues using a variational framework
Ares, Gonzalo Damián
ARTERIAL WALL
CHARACTERIZATION
RESIDUAL DEFORMATIONS
RESIDUAL STRESSES
VARIATIONAL FORMULATION
title_short Identification of residual stresses in multi-layered arterial wall tissues using a variational framework
title_full Identification of residual stresses in multi-layered arterial wall tissues using a variational framework
title_fullStr Identification of residual stresses in multi-layered arterial wall tissues using a variational framework
title_full_unstemmed Identification of residual stresses in multi-layered arterial wall tissues using a variational framework
title_sort Identification of residual stresses in multi-layered arterial wall tissues using a variational framework
dc.creator.none.fl_str_mv Ares, Gonzalo Damián
Blanco, Pablo Javier
Urquiza, Santiago Adrian
Feijóo, Raúl Antonino
author Ares, Gonzalo Damián
author_facet Ares, Gonzalo Damián
Blanco, Pablo Javier
Urquiza, Santiago Adrian
Feijóo, Raúl Antonino
author_role author
author2 Blanco, Pablo Javier
Urquiza, Santiago Adrian
Feijóo, Raúl Antonino
author2_role author
author
author
dc.subject.none.fl_str_mv ARTERIAL WALL
CHARACTERIZATION
RESIDUAL DEFORMATIONS
RESIDUAL STRESSES
VARIATIONAL FORMULATION
topic ARTERIAL WALL
CHARACTERIZATION
RESIDUAL DEFORMATIONS
RESIDUAL STRESSES
VARIATIONAL FORMULATION
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 the past decades a considerable amount of literature has been published addressing the study of the mechanical behavior of arterial walls. Ex-vivo experimentation made possible the development of constitutive models and the characterization of material parameters contributing to the understanding of the mechanobiological response of vascular tissues. Moreover, the existence of residual stresses in configurations free of load was revealed, and its impact in the general stress state of the tissue was quantified. In recent years, data assimilation techniques have seen a rapid development in cardiovascular modeling field, primarily focusing on the estimation of material parameters for arterial wall segments using information provided by medical imaging as well as by in-vitro settings. However, concerning the estimation of residual stresses, this research field is in its early stages, and much work is still required for the full functional characterization of arterial tissues. In this context, a conceptual variational framework for the development of residual stress estimation tools is proposed. Particularly, a variational formulation for the characterization of residual deformations and the associated stresses in arterial walls, based on full displacement field measurements of the vessel, is presented. Considering as known data the material parameters characterizing the behavior of the tissue and a set of arterial wall configurations at equilibrium with well defined pressure loads, we propose a cost functional that measures the mechanical imbalance caused by the lack of knowledge of residual stresses. In this manner, the characterization of residual stresses becomes a problem of minimizing such cost functional. Three numerical examples are presented highlighting the potential of the proposed approach. Among these examples, the characterization of residual stresses in a cylindrical geometry representing a three-layered aorta artery is performed.
Fil: Ares, Gonzalo Damián. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Blanco, Pablo Javier. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil
Fil: Urquiza, Santiago Adrian. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil. Universidad Nacional de Mar del Plata. Facultad de Ingeniería; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Feijóo, Raúl Antonino. Instituto Nacional de Ciência e Tecnologia em Medicina Assistida por Computação Científica; Brasil
description In the past decades a considerable amount of literature has been published addressing the study of the mechanical behavior of arterial walls. Ex-vivo experimentation made possible the development of constitutive models and the characterization of material parameters contributing to the understanding of the mechanobiological response of vascular tissues. Moreover, the existence of residual stresses in configurations free of load was revealed, and its impact in the general stress state of the tissue was quantified. In recent years, data assimilation techniques have seen a rapid development in cardiovascular modeling field, primarily focusing on the estimation of material parameters for arterial wall segments using information provided by medical imaging as well as by in-vitro settings. However, concerning the estimation of residual stresses, this research field is in its early stages, and much work is still required for the full functional characterization of arterial tissues. In this context, a conceptual variational framework for the development of residual stress estimation tools is proposed. Particularly, a variational formulation for the characterization of residual deformations and the associated stresses in arterial walls, based on full displacement field measurements of the vessel, is presented. Considering as known data the material parameters characterizing the behavior of the tissue and a set of arterial wall configurations at equilibrium with well defined pressure loads, we propose a cost functional that measures the mechanical imbalance caused by the lack of knowledge of residual stresses. In this manner, the characterization of residual stresses becomes a problem of minimizing such cost functional. Three numerical examples are presented highlighting the potential of the proposed approach. Among these examples, the characterization of residual stresses in a cylindrical geometry representing a three-layered aorta artery is performed.
publishDate 2017
dc.date.none.fl_str_mv 2017-06
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/11336/74758
Ares, Gonzalo Damián; Blanco, Pablo Javier; Urquiza, Santiago Adrian; Feijóo, Raúl Antonino; Identification of residual stresses in multi-layered arterial wall tissues using a variational framework; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 319; 6-2017; 287-313
0045-7825
CONICET Digital
CONICET
url http://hdl.handle.net/11336/74758
identifier_str_mv Ares, Gonzalo Damián; Blanco, Pablo Javier; Urquiza, Santiago Adrian; Feijóo, Raúl Antonino; Identification of residual stresses in multi-layered arterial wall tissues using a variational framework; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 319; 6-2017; 287-313
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.2017.02.028
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0045782516304194
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
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
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score 13.070432

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