A viscoelastic model to simulate soft tissue materials

Detalhes bibliográficos
Autor(a) principal: Ortiz, J.S. Espinoza
Data de Publicação: 2015
Outros Autores: Lagos, R. E. [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1088/1742-6596/633/1/012099
http://hdl.handle.net/11449/173396
Resumo: Continuum mechanic theories are frequently used to simulate the mechanical behavior of elastic and viscous materials, specifically soft tissues typically showing incompressibility, nonlinear deformation under stress, fading memory and insensitivity to the strain-rate. The time dependence of a viscoelastic material could be better understood by considering it as composed by an elastic solid and a viscous fluid. Different types of mechanical devices can be constructed provided a particular configuration of elastic springs and dashpots. In this work our aim is to probe many of the soft tissue mechanical behavior, by considering a Kelvin's device coupled to a set of in parallel Maxwell's devices. Then, the resulting model composed of a long series of modified Kelvin bodies must span a broad range of characteristic times resulting in a suitable model for soft tissue simulation. Under driving static and dynamic stress applied to a 2-Dim system, its time dependence strain response is computed. We obtain a set of coupled Volterra integral equations solved via the extended trapezoidal rule scheme, and the Newton-Raphson method to solve nonlinear coupled equations.
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spelling A viscoelastic model to simulate soft tissue materialsContinuum mechanic theories are frequently used to simulate the mechanical behavior of elastic and viscous materials, specifically soft tissues typically showing incompressibility, nonlinear deformation under stress, fading memory and insensitivity to the strain-rate. The time dependence of a viscoelastic material could be better understood by considering it as composed by an elastic solid and a viscous fluid. Different types of mechanical devices can be constructed provided a particular configuration of elastic springs and dashpots. In this work our aim is to probe many of the soft tissue mechanical behavior, by considering a Kelvin's device coupled to a set of in parallel Maxwell's devices. Then, the resulting model composed of a long series of modified Kelvin bodies must span a broad range of characteristic times resulting in a suitable model for soft tissue simulation. Under driving static and dynamic stress applied to a 2-Dim system, its time dependence strain response is computed. We obtain a set of coupled Volterra integral equations solved via the extended trapezoidal rule scheme, and the Newton-Raphson method to solve nonlinear coupled equations.Departamento de Física IFQC Universidade Federal de GoiásDepartamento de Física IGCE UNESPDepartamento de Física IGCE UNESPUniversidade Federal de Goiás (UFG)Universidade Estadual Paulista (Unesp)Ortiz, J.S. EspinozaLagos, R. E. [UNESP]2018-12-11T17:04:59Z2018-12-11T17:04:59Z2015-09-21info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjectapplication/pdfhttp://dx.doi.org/10.1088/1742-6596/633/1/012099Journal of Physics: Conference Series, v. 633, n. 1, 2015.1742-65961742-6588http://hdl.handle.net/11449/17339610.1088/1742-6596/633/1/0120992-s2.0-849834910012-s2.0-84983491001.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Physics: Conference Series0,2410,241info:eu-repo/semantics/openAccess2023-10-13T06:10:57Zoai:repositorio.unesp.br:11449/173396Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:50:11.901523Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A viscoelastic model to simulate soft tissue materials
title A viscoelastic model to simulate soft tissue materials
spellingShingle A viscoelastic model to simulate soft tissue materials
Ortiz, J.S. Espinoza
title_short A viscoelastic model to simulate soft tissue materials
title_full A viscoelastic model to simulate soft tissue materials
title_fullStr A viscoelastic model to simulate soft tissue materials
title_full_unstemmed A viscoelastic model to simulate soft tissue materials
title_sort A viscoelastic model to simulate soft tissue materials
author Ortiz, J.S. Espinoza
author_facet Ortiz, J.S. Espinoza
Lagos, R. E. [UNESP]
author_role author
author2 Lagos, R. E. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Federal de Goiás (UFG)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Ortiz, J.S. Espinoza
Lagos, R. E. [UNESP]
description Continuum mechanic theories are frequently used to simulate the mechanical behavior of elastic and viscous materials, specifically soft tissues typically showing incompressibility, nonlinear deformation under stress, fading memory and insensitivity to the strain-rate. The time dependence of a viscoelastic material could be better understood by considering it as composed by an elastic solid and a viscous fluid. Different types of mechanical devices can be constructed provided a particular configuration of elastic springs and dashpots. In this work our aim is to probe many of the soft tissue mechanical behavior, by considering a Kelvin's device coupled to a set of in parallel Maxwell's devices. Then, the resulting model composed of a long series of modified Kelvin bodies must span a broad range of characteristic times resulting in a suitable model for soft tissue simulation. Under driving static and dynamic stress applied to a 2-Dim system, its time dependence strain response is computed. We obtain a set of coupled Volterra integral equations solved via the extended trapezoidal rule scheme, and the Newton-Raphson method to solve nonlinear coupled equations.
publishDate 2015
dc.date.none.fl_str_mv 2015-09-21
2018-12-11T17:04:59Z
2018-12-11T17:04:59Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1088/1742-6596/633/1/012099
Journal of Physics: Conference Series, v. 633, n. 1, 2015.
1742-6596
1742-6588
http://hdl.handle.net/11449/173396
10.1088/1742-6596/633/1/012099
2-s2.0-84983491001
2-s2.0-84983491001.pdf
url http://dx.doi.org/10.1088/1742-6596/633/1/012099
http://hdl.handle.net/11449/173396
identifier_str_mv Journal of Physics: Conference Series, v. 633, n. 1, 2015.
1742-6596
1742-6588
10.1088/1742-6596/633/1/012099
2-s2.0-84983491001
2-s2.0-84983491001.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Physics: Conference Series
0,241
0,241
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
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