Finite element formulation for modelling nonlinear viscoelastic elastomers

Bibliographic Details
Main Author: Areias, P.
Publication Date: 2008
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10174/6643
Summary: Nonlinear viscoelastic response of reinforced elastomers is modeled using a three-dimensional mixed finite element method with a nonlocal pressure field. A general second-order unconditionally stable exponential integrator based on a diagonal Padé approximation is developed and the Bergström–Boyce nonlinear viscoelastic law is employed as a prototype model. An implicit finite element scheme with consistent linearization is used and the novel integrator is successfully implemented. Finally, several viscoelastic examples, including a study of the unit cell for a solid propellant, are solved to demonstrate the computational algorithm and relevant underlying physics.
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spelling Finite element formulation for modelling nonlinear viscoelastic elastomersNonlinear viscoelastic response of reinforced elastomers is modeled using a three-dimensional mixed finite element method with a nonlocal pressure field. A general second-order unconditionally stable exponential integrator based on a diagonal Padé approximation is developed and the Bergström–Boyce nonlinear viscoelastic law is employed as a prototype model. An implicit finite element scheme with consistent linearization is used and the novel integrator is successfully implemented. Finally, several viscoelastic examples, including a study of the unit cell for a solid propellant, are solved to demonstrate the computational algorithm and relevant underlying physics.Elsevier2012-12-07T15:50:49Z2012-12-072008-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/6643http://hdl.handle.net/10174/6643enghttp://nd.edu/~kmatous/Papers/CMAME_NonVis.pdfpmaa@uevora.pt287Areias, P.info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-01-03T18:46:18Zoai:dspace.uevora.pt:10174/6643Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T11:56:17.672787Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Finite element formulation for modelling nonlinear viscoelastic elastomers
title Finite element formulation for modelling nonlinear viscoelastic elastomers
spellingShingle Finite element formulation for modelling nonlinear viscoelastic elastomers
Areias, P.
title_short Finite element formulation for modelling nonlinear viscoelastic elastomers
title_full Finite element formulation for modelling nonlinear viscoelastic elastomers
title_fullStr Finite element formulation for modelling nonlinear viscoelastic elastomers
title_full_unstemmed Finite element formulation for modelling nonlinear viscoelastic elastomers
title_sort Finite element formulation for modelling nonlinear viscoelastic elastomers
author Areias, P.
author_facet Areias, P.
author_role author
dc.contributor.author.fl_str_mv Areias, P.
description Nonlinear viscoelastic response of reinforced elastomers is modeled using a three-dimensional mixed finite element method with a nonlocal pressure field. A general second-order unconditionally stable exponential integrator based on a diagonal Padé approximation is developed and the Bergström–Boyce nonlinear viscoelastic law is employed as a prototype model. An implicit finite element scheme with consistent linearization is used and the novel integrator is successfully implemented. Finally, several viscoelastic examples, including a study of the unit cell for a solid propellant, are solved to demonstrate the computational algorithm and relevant underlying physics.
publishDate 2008
dc.date.none.fl_str_mv 2008-01-01T00:00:00Z
2012-12-07T15:50:49Z
2012-12-07
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10174/6643
http://hdl.handle.net/10174/6643
url http://hdl.handle.net/10174/6643
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://nd.edu/~kmatous/Papers/CMAME_NonVis.pdf
pmaa@uevora.pt
287
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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