The relevance of transverse deformation effects in modeling soft biological tissues

[EN] Hyperelastic constitutive models for anisotropic biological materials are frequently based on orthotropic incompressible stored energy functions. The material parameters of these models are then obtained through an optimization procedure as to fit some stress-strain experimental data. For examp...

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Detalles Bibliográficos
Autores: Latorre, Marcos|||0000-0003-4142-0207, Romero, Xavier, Montáns, Francisco Javier
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/191460
Acceso en línea:https://riunet.upv.es/handle/10251/191460
Access Level:acceso abierto
Palabra clave:Composites
Biological tissues
Orthotropy
Hyperelasticity
Arterial wall mechanics
Transverse strains
03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades
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network_name_str España
repository_id_str
dc.title.none.fl_str_mv The relevance of transverse deformation effects in modeling soft biological tissues
title The relevance of transverse deformation effects in modeling soft biological tissues
spellingShingle The relevance of transverse deformation effects in modeling soft biological tissues
Latorre, Marcos|||0000-0003-4142-0207
Composites
Biological tissues
Orthotropy
Hyperelasticity
Arterial wall mechanics
Transverse strains
03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades
title_short The relevance of transverse deformation effects in modeling soft biological tissues
title_full The relevance of transverse deformation effects in modeling soft biological tissues
title_fullStr The relevance of transverse deformation effects in modeling soft biological tissues
title_full_unstemmed The relevance of transverse deformation effects in modeling soft biological tissues
title_sort The relevance of transverse deformation effects in modeling soft biological tissues
dc.creator.none.fl_str_mv Latorre, Marcos|||0000-0003-4142-0207
Romero, Xavier
Montáns, Francisco Javier
author Latorre, Marcos|||0000-0003-4142-0207
author_facet Latorre, Marcos|||0000-0003-4142-0207
Romero, Xavier
Montáns, Francisco Javier
author_role author
author2 Romero, Xavier
Montáns, Francisco Javier
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Mecánica de los Medios Continuos y Teoría de Estructuras
Escuela Técnica Superior de Ingeniería Industrial
Centro de Investigación e Innovación en Bioingeniería
Ministerio de Economía y Competitividad
Ministerio de Educación, Cultura y Deporte
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Composites
Biological tissues
Orthotropy
Hyperelasticity
Arterial wall mechanics
Transverse strains
03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades
topic Composites
Biological tissues
Orthotropy
Hyperelasticity
Arterial wall mechanics
Transverse strains
03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades
description [EN] Hyperelastic constitutive models for anisotropic biological materials are frequently based on orthotropic incompressible stored energy functions. The material parameters of these models are then obtained through an optimization procedure as to fit some stress-strain experimental data. For example, in arterial wall mechanics the material data usually employed for the Holzapfel-Gasser-Ogden and the Gasser-Ogden-Holzapfel models are two uniaxial tension curves from circumferential and axial specimens. The transverse strains from these specimens are frequently not taken into consideration. In this paper we analyze the evolution of those strains, showing that an unrealistic behaviour may be predicted. We then show how transverse strains may be prescribed using our What-You-Prescribe-Is-What-You-Get (WYPI-VVYG) model in a very intuitive way, still capturing the longitudinal stress-strain behavior in an exact manner without employing any constitutive parameter. This is possible because, in contrast to what it is usually done, we exactly solve the equilibrium and compatibility equations without imposing the shape of the stored energy function. Furthermore, we show that the small strains formulation is naturally recovered and that the physical insight from the infinitesimal theory is preserved. In fact, for incompressible materials, the present approach can be considered as a natural extension of the infinitesimal continuum elastic framework to large strains. This new physical insight clearly shows that if some subclasses of orthotropic incompressible material models are determined with just two uniaxial curves, then the transverse behavior should be contrasted with additional experimental observations. (C) 2016 Elsevier Ltd. All rights reserved.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-11-01
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://riunet.upv.es/handle/10251/191460
url https://riunet.upv.es/handle/10251/191460
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 DPI2015-69801-R MODELADO Y SIMULACION DEL COMPORTAMIENTO MECANICO DE MATERIALES BLANDOS ANISOTROPOS EN GRANDES DEFORMACIONES
Ministerio de Educación y Cultura http://dx.doi.org/10.13039/501100003176 PRX15%2F00065
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 DPI2011-26635 Modelado computacional de la termo-elasto-viscoplasticidad en grandes deformaciones
Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 DPI2015-69801-R Modelado y simulación del comportamiento mecánico de materiales blandos anisótropos en grandes deformaciones
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
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
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
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spelling The relevance of transverse deformation effects in modeling soft biological tissuesLatorre, Marcos|||0000-0003-4142-0207Romero, XavierMontáns, Francisco JavierCompositesBiological tissuesOrthotropyHyperelasticityArterial wall mechanicsTransverse strains03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades[EN] Hyperelastic constitutive models for anisotropic biological materials are frequently based on orthotropic incompressible stored energy functions. The material parameters of these models are then obtained through an optimization procedure as to fit some stress-strain experimental data. For example, in arterial wall mechanics the material data usually employed for the Holzapfel-Gasser-Ogden and the Gasser-Ogden-Holzapfel models are two uniaxial tension curves from circumferential and axial specimens. The transverse strains from these specimens are frequently not taken into consideration. In this paper we analyze the evolution of those strains, showing that an unrealistic behaviour may be predicted. We then show how transverse strains may be prescribed using our What-You-Prescribe-Is-What-You-Get (WYPI-VVYG) model in a very intuitive way, still capturing the longitudinal stress-strain behavior in an exact manner without employing any constitutive parameter. This is possible because, in contrast to what it is usually done, we exactly solve the equilibrium and compatibility equations without imposing the shape of the stored energy function. Furthermore, we show that the small strains formulation is naturally recovered and that the physical insight from the infinitesimal theory is preserved. In fact, for incompressible materials, the present approach can be considered as a natural extension of the infinitesimal continuum elastic framework to large strains. This new physical insight clearly shows that if some subclasses of orthotropic incompressible material models are determined with just two uniaxial curves, then the transverse behavior should be contrasted with additional experimental observations. (C) 2016 Elsevier Ltd. All rights reserved.Partial financial support for this work has been given by grants DPI2011-26635 and DPI2015-69801-R from the Direccion General de Proyectos de Investigacion of the Ministerio de Economia y Competitividad of Spain. F.J. Montans also acknowledges the support of the Department of Mechanical and Aerospace Engineering of University of Florida during the sabbatical period in which part of this work was performed and Ministerio de Educacion, Cultura y Deporte of Spain for the financial suport for that stay under grant PRX15/00065ElsevierDepartamento de Mecánica de los Medios Continuos y Teoría de EstructurasEscuela Técnica Superior de Ingeniería IndustrialCentro de Investigación e Innovación en BioingenieríaMinisterio de Economía y CompetitividadMinisterio de Educación, Cultura y DeporteRepositorio Institucional de la Universitat Politècnica de València Riunet20162016-11-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/191460reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 DPI2015-69801-R MODELADO Y SIMULACION DEL COMPORTAMIENTO MECANICO DE MATERIALES BLANDOS ANISOTROPOS EN GRANDES DEFORMACIONESMinisterio de Educación y Cultura http://dx.doi.org/10.13039/501100003176 PRX15%2F00065Ministerio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 DPI2011-26635 Modelado computacional de la termo-elasto-viscoplasticidad en grandes deformacionesMinisterio de Economía y Competitividad http://dx.doi.org/10.13039/501100003329 DPI2015-69801-R Modelado y simulación del comportamiento mecánico de materiales blandos anisótropos en grandes deformacionesopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1914602026-06-13T07:49:27Z
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