A viscoelastic viscoplastic constitutive model including mechanical degradation: Uniaxial transient finite element formulation at finite strains and application to space truss structures

Detalhes bibliográficos
Autor(a) principal: Carniel T.A.*
Data de Publicação: 2015
Outros Autores: Munoz-Rojas P.A.*, Vaz M.*
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da Udesc
Texto Completo: https://repositorio.udesc.br/handle/UDESC/8092
Resumo: © 2014 Elsevier Inc.This article presents a one-dimensional finite element formulation for the transient analysis of geometrically nonlinear trusses associated to viscoelastic viscoplastic materials including mechanical degradation. The proposed formulation aims at problems involving inertial loads and high strain rate deformations, and accounts for velocities, accelerations and rate-dependent effects. The kinematic description adopts an updated Lagrangian approach, whereas the dynamic equilibrium equations are solved using the Newmark algorithm coupled to an incremental-iterative Newton-Raphson procedure. The viscoelastic and viscoplastic behaviors are accounted for the generalized Kelvin-Voigt and Perzyna models, and material degradation is considered using Continuum Damage Mechanics. The evolution equations are integrated using an implicit scheme, including derivation of the analytical tangent stiffness and algorithmic material tangent operator. Numerical examples illustrate application of the proposed formulation to the analysis of polymeric truss structures undergoing snap-through.
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spelling A viscoelastic viscoplastic constitutive model including mechanical degradation: Uniaxial transient finite element formulation at finite strains and application to space truss structures© 2014 Elsevier Inc.This article presents a one-dimensional finite element formulation for the transient analysis of geometrically nonlinear trusses associated to viscoelastic viscoplastic materials including mechanical degradation. The proposed formulation aims at problems involving inertial loads and high strain rate deformations, and accounts for velocities, accelerations and rate-dependent effects. The kinematic description adopts an updated Lagrangian approach, whereas the dynamic equilibrium equations are solved using the Newmark algorithm coupled to an incremental-iterative Newton-Raphson procedure. The viscoelastic and viscoplastic behaviors are accounted for the generalized Kelvin-Voigt and Perzyna models, and material degradation is considered using Continuum Damage Mechanics. The evolution equations are integrated using an implicit scheme, including derivation of the analytical tangent stiffness and algorithmic material tangent operator. Numerical examples illustrate application of the proposed formulation to the analysis of polymeric truss structures undergoing snap-through.2024-12-06T13:58:23Z2015info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlep. 1725 - 17390307-904X10.1016/j.apm.2014.09.036https://repositorio.udesc.br/handle/UDESC/8092Applied Mathematical Modelling395-6Carniel T.A.*Munoz-Rojas P.A.*Vaz M.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T20:56:23Zoai:repositorio.udesc.br:UDESC/8092Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T20:56:23Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv A viscoelastic viscoplastic constitutive model including mechanical degradation: Uniaxial transient finite element formulation at finite strains and application to space truss structures
title A viscoelastic viscoplastic constitutive model including mechanical degradation: Uniaxial transient finite element formulation at finite strains and application to space truss structures
spellingShingle A viscoelastic viscoplastic constitutive model including mechanical degradation: Uniaxial transient finite element formulation at finite strains and application to space truss structures
Carniel T.A.*
title_short A viscoelastic viscoplastic constitutive model including mechanical degradation: Uniaxial transient finite element formulation at finite strains and application to space truss structures
title_full A viscoelastic viscoplastic constitutive model including mechanical degradation: Uniaxial transient finite element formulation at finite strains and application to space truss structures
title_fullStr A viscoelastic viscoplastic constitutive model including mechanical degradation: Uniaxial transient finite element formulation at finite strains and application to space truss structures
title_full_unstemmed A viscoelastic viscoplastic constitutive model including mechanical degradation: Uniaxial transient finite element formulation at finite strains and application to space truss structures
title_sort A viscoelastic viscoplastic constitutive model including mechanical degradation: Uniaxial transient finite element formulation at finite strains and application to space truss structures
author Carniel T.A.*
author_facet Carniel T.A.*
Munoz-Rojas P.A.*
Vaz M.*
author_role author
author2 Munoz-Rojas P.A.*
Vaz M.*
author2_role author
author
dc.contributor.author.fl_str_mv Carniel T.A.*
Munoz-Rojas P.A.*
Vaz M.*
description © 2014 Elsevier Inc.This article presents a one-dimensional finite element formulation for the transient analysis of geometrically nonlinear trusses associated to viscoelastic viscoplastic materials including mechanical degradation. The proposed formulation aims at problems involving inertial loads and high strain rate deformations, and accounts for velocities, accelerations and rate-dependent effects. The kinematic description adopts an updated Lagrangian approach, whereas the dynamic equilibrium equations are solved using the Newmark algorithm coupled to an incremental-iterative Newton-Raphson procedure. The viscoelastic and viscoplastic behaviors are accounted for the generalized Kelvin-Voigt and Perzyna models, and material degradation is considered using Continuum Damage Mechanics. The evolution equations are integrated using an implicit scheme, including derivation of the analytical tangent stiffness and algorithmic material tangent operator. Numerical examples illustrate application of the proposed formulation to the analysis of polymeric truss structures undergoing snap-through.
publishDate 2015
dc.date.none.fl_str_mv 2015
2024-12-06T13:58:23Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv 0307-904X
10.1016/j.apm.2014.09.036
https://repositorio.udesc.br/handle/UDESC/8092
identifier_str_mv 0307-904X
10.1016/j.apm.2014.09.036
url https://repositorio.udesc.br/handle/UDESC/8092
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Applied Mathematical Modelling
39
5-6
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv p. 1725 - 1739
dc.source.none.fl_str_mv reponame:Repositório Institucional da Udesc
instname:Universidade do Estado de Santa Catarina (UDESC)
instacron:UDESC
instname_str Universidade do Estado de Santa Catarina (UDESC)
instacron_str UDESC
institution UDESC
reponame_str Repositório Institucional da Udesc
collection Repositório Institucional da Udesc
repository.name.fl_str_mv Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)
repository.mail.fl_str_mv ri@udesc.br
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