Complex bifurcation maps in electroelastic elastomeric plates

[EN] Stress-strain relationships for rubbery materials are highly non-linear. In this work, a particular configuration of electroactive material is considered: an isotropic, incompressible electroelastic squared plate is subjected to equal biaxial homogeneous deformation and a scalar electrical pote...

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Autores: Díaz Calleja, Ricardo, Llovera Segovia, Pedro|||0000-0001-6569-5710, Quijano-Lopez, Alfredo|||0000-0001-7916-8698
Tipo de recurso: artículo
Fecha de publicación:2017
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:10251/102946
Acceso en línea:https://riunet.upv.es/handle/10251/102946
Access Level:acceso abierto
Palabra clave:Bifurcation
Elastomers
Ogden model
Mooney-Rivlin model
Hessian approach
Incremental deformation
INGENIERIA ELECTRICA
MAQUINAS Y MOTORES TERMICOS
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spelling Complex bifurcation maps in electroelastic elastomeric platesDíaz Calleja, RicardoLlovera Segovia, Pedro|||0000-0001-6569-5710Quijano-Lopez, Alfredo|||0000-0001-7916-8698BifurcationElastomersOgden modelMooney-Rivlin modelHessian approachIncremental deformationINGENIERIA ELECTRICAMAQUINAS Y MOTORES TERMICOS[EN] Stress-strain relationships for rubbery materials are highly non-linear. In this work, a particular configuration of electroactive material is considered: an isotropic, incompressible electroelastic squared plate is subjected to equal biaxial homogeneous deformation and a scalar electrical potential is applied on the sides of compliant electrodes. This case is analysed according to two methodologies: the Hessian approach and the use of incremental deformation together with increment in the electric displacement. First, an extended Mooney Rivlin model is considered for the material and then an Ogden model is also analysed. Results, show, that despite of available experimental results, some predictions can be made and the pertinent analysis show complex bifurcation maps. This can help in the future progress in the knowledge of the instabilities and bifurcation phenomena which should appear in these materials. The present paper has been mainly motivated by the work of Ogden and DorfmannElsevierInstituto de Tecnología EléctricaDepartamento de Ingeniería EléctricaEscuela Técnica Superior de Ingeniería de Caminos, Canales y PuertosEscuela Técnica Superior de Ingeniería IndustrialRepositorio Institucional de la Universitat Politècnica de València Riunet20172017-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/102946reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen 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:10251/1029462026-06-13T07:49:27Z
dc.title.none.fl_str_mv Complex bifurcation maps in electroelastic elastomeric plates
title Complex bifurcation maps in electroelastic elastomeric plates
spellingShingle Complex bifurcation maps in electroelastic elastomeric plates
Díaz Calleja, Ricardo
Bifurcation
Elastomers
Ogden model
Mooney-Rivlin model
Hessian approach
Incremental deformation
INGENIERIA ELECTRICA
MAQUINAS Y MOTORES TERMICOS
title_short Complex bifurcation maps in electroelastic elastomeric plates
title_full Complex bifurcation maps in electroelastic elastomeric plates
title_fullStr Complex bifurcation maps in electroelastic elastomeric plates
title_full_unstemmed Complex bifurcation maps in electroelastic elastomeric plates
title_sort Complex bifurcation maps in electroelastic elastomeric plates
dc.creator.none.fl_str_mv Díaz Calleja, Ricardo
Llovera Segovia, Pedro|||0000-0001-6569-5710
Quijano-Lopez, Alfredo|||0000-0001-7916-8698
author Díaz Calleja, Ricardo
author_facet Díaz Calleja, Ricardo
Llovera Segovia, Pedro|||0000-0001-6569-5710
Quijano-Lopez, Alfredo|||0000-0001-7916-8698
author_role author
author2 Llovera Segovia, Pedro|||0000-0001-6569-5710
Quijano-Lopez, Alfredo|||0000-0001-7916-8698
author2_role author
author
dc.contributor.none.fl_str_mv Instituto de Tecnología Eléctrica
Departamento de Ingeniería Eléctrica
Escuela Técnica Superior de Ingeniería de Caminos, Canales y Puertos
Escuela Técnica Superior de Ingeniería Industrial
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Bifurcation
Elastomers
Ogden model
Mooney-Rivlin model
Hessian approach
Incremental deformation
INGENIERIA ELECTRICA
MAQUINAS Y MOTORES TERMICOS
topic Bifurcation
Elastomers
Ogden model
Mooney-Rivlin model
Hessian approach
Incremental deformation
INGENIERIA ELECTRICA
MAQUINAS Y MOTORES TERMICOS
description [EN] Stress-strain relationships for rubbery materials are highly non-linear. In this work, a particular configuration of electroactive material is considered: an isotropic, incompressible electroelastic squared plate is subjected to equal biaxial homogeneous deformation and a scalar electrical potential is applied on the sides of compliant electrodes. This case is analysed according to two methodologies: the Hessian approach and the use of incremental deformation together with increment in the electric displacement. First, an extended Mooney Rivlin model is considered for the material and then an Ogden model is also analysed. Results, show, that despite of available experimental results, some predictions can be made and the pertinent analysis show complex bifurcation maps. This can help in the future progress in the knowledge of the instabilities and bifurcation phenomena which should appear in these materials. The present paper has been mainly motivated by the work of Ogden and Dorfmann
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01
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/10251/102946
url https://riunet.upv.es/handle/10251/102946
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
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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score 15,300719

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