Experimental data reduction for hyperelasticity

[EN] WYPiWYG hyperelasticity is a data-driven, model-free computational procedure for finite element analysis of soft materials. The procedure does not assume the shape of the stored energy function and does not employ material parameters, predicting accurately any smooth prescribed behavior from a...

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Detalles Bibliográficos
Autores: Latorre, Marcos|||0000-0003-4142-0207, Montáns, Francisco Javier
Tipo de recurso: artículo
Fecha de publicación:2020
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:10251/191447
Acceso en línea:https://riunet.upv.es/handle/10251/191447
Access Level:acceso abierto
Palabra clave:Hyperelasticity
WYPiWYG hyperelasticity
Soft materials
Biological tissues
Stability
03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades
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spelling Experimental data reduction for hyperelasticityLatorre, Marcos|||0000-0003-4142-0207Montáns, Francisco JavierHyperelasticityWYPiWYG hyperelasticitySoft materialsBiological tissuesStability03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades[EN] WYPiWYG hyperelasticity is a data-driven, model-free computational procedure for finite element analysis of soft materials. The procedure does not assume the shape of the stored energy function and does not employ material parameters, predicting accurately any smooth prescribed behavior from a complete set of experimental tests. However, fuzzy experimental data may yield useless highly oscillatory, unstable stored energy functions, and classical curvature smoothing frequently gives unsatisfactory results. Aside, the possibility of having experimental data from different specimens for the same test was not considered in previous procedures. In this work we present a novel technique based on spline regression and smoothing penalization using stability conditions. In general, this procedure reduces noisy experimental data or data from multiple specimens for ulterior determination of the stored energy. The procedure only needs the solution of a linear system of equations. Instead of classical curvature-based smoothing, we employ a novel stability-based smoothing, determining for each branch of the uniaxial stress-strain curve the most restrictive stability condition during uniaxial and equibiaxial tests. The resulting stored energy functions are smooth and stable. The procedure has little sensitivity to the number of spline segments or to the choice of the penalization parameter, which are computed automatically.Partial financial support for this work has been given by grant DPI2015-69801-R from the Direccion General de Proyectos de Investigacion of the Ministerio de Economia y Competitividad of SpainElsevierDepartamento de Mecánica de los Medios Continuos y Teoría de EstructurasEscuela Técnica Superior de Ingeniería IndustrialCentro de Investigación e Innovación en BioingenieríaMinisterio de Economía y CompetitividadRepositorio Institucional de la Universitat Politècnica de València Riunet20202020-05-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/191447reponame: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 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:10251/1914472026-06-13T07:49:27Z
dc.title.none.fl_str_mv Experimental data reduction for hyperelasticity
title Experimental data reduction for hyperelasticity
spellingShingle Experimental data reduction for hyperelasticity
Latorre, Marcos|||0000-0003-4142-0207
Hyperelasticity
WYPiWYG hyperelasticity
Soft materials
Biological tissues
Stability
03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades
title_short Experimental data reduction for hyperelasticity
title_full Experimental data reduction for hyperelasticity
title_fullStr Experimental data reduction for hyperelasticity
title_full_unstemmed Experimental data reduction for hyperelasticity
title_sort Experimental data reduction for hyperelasticity
dc.creator.none.fl_str_mv Latorre, Marcos|||0000-0003-4142-0207
Montáns, Francisco Javier
author Latorre, Marcos|||0000-0003-4142-0207
author_facet Latorre, Marcos|||0000-0003-4142-0207
Montáns, Francisco Javier
author_role author
author2 Montáns, Francisco Javier
author2_role 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
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Hyperelasticity
WYPiWYG hyperelasticity
Soft materials
Biological tissues
Stability
03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades
topic Hyperelasticity
WYPiWYG hyperelasticity
Soft materials
Biological tissues
Stability
03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades
description [EN] WYPiWYG hyperelasticity is a data-driven, model-free computational procedure for finite element analysis of soft materials. The procedure does not assume the shape of the stored energy function and does not employ material parameters, predicting accurately any smooth prescribed behavior from a complete set of experimental tests. However, fuzzy experimental data may yield useless highly oscillatory, unstable stored energy functions, and classical curvature smoothing frequently gives unsatisfactory results. Aside, the possibility of having experimental data from different specimens for the same test was not considered in previous procedures. In this work we present a novel technique based on spline regression and smoothing penalization using stability conditions. In general, this procedure reduces noisy experimental data or data from multiple specimens for ulterior determination of the stored energy. The procedure only needs the solution of a linear system of equations. Instead of classical curvature-based smoothing, we employ a novel stability-based smoothing, determining for each branch of the uniaxial stress-strain curve the most restrictive stability condition during uniaxial and equibiaxial tests. The resulting stored energy functions are smooth and stable. The procedure has little sensitivity to the number of spline segments or to the choice of the penalization parameter, which are computed automatically.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-05-01
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/10251/191447
url https://riunet.upv.es/handle/10251/191447
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 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
repository.name.fl_str_mv
repository.mail.fl_str_mv
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