A thermodynamically consistent plastic-damage framework for localized failure in quasi-brittle solids: material model and strain localization analysis

Aiming for the modeling of localized failure in quasi-brittle solids, this paper addresses a thermodynamically consistent plastic-damage framework and the corresponding strain localization analysis. A unified elastoplastic damage model is first presented based on two alternative kinematic decomposit...

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Autores: Wu, Jian-Ying, Cervera Ruiz, Miguel|||0000-0003-3437-6703
Formato: artículo
Fecha de publicación:2016
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/101892
Acesso em linha:https://hdl.handle.net/2117/101892
https://dx.doi.org/10.1016/j.ijsolstr.2016.03.005
Access Level:acceso abierto
Palavra-chave:Concrete--Fracture
Localized failure
Damage
Plasticity
Fracture
Constitutive behavior
Strain localization
Concrete
Formigó -- Fractures
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Materials i estructures de formigó
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spelling A thermodynamically consistent plastic-damage framework for localized failure in quasi-brittle solids: material model and strain localization analysisWu, Jian-YingCervera Ruiz, Miguel|||0000-0003-3437-6703Concrete--FractureLocalized failureDamagePlasticityFractureConstitutive behaviorStrain localizationConcreteFormigó -- FracturesÀrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Materials i estructures de formigóAiming for the modeling of localized failure in quasi-brittle solids, this paper addresses a thermodynamically consistent plastic-damage framework and the corresponding strain localization analysis. A unified elastoplastic damage model is first presented based on two alternative kinematic decompositions assuming infinitesimal deformations, with the evolution laws of involved internal variables characterized by a dissipative flow tensor. For the strong (or regularized) discontinuity to form in such inelastic quasi-brittle solids and to evolve eventually into a fully softened one, a novel strain localization analysis is then suggested. A kinematic constraint more demanding than the classical discontinuous bifurcation condition is derived by accounting for the traction continuity and the loading/unloading states consistent with the kinematics of a strong (or regularized) discontinuity. More specifically, the strain jumps characterized by Maxwell’s kinematic condition have to be completely inelastic (energy dissipative). Reproduction of this kinematics implies vanishing of the aforesaid dissipative flow tensorial components in the directions orthogonal to the discontinuity orientation. This property allows naturally developing a localized plastic-damage model for the discontinuity (band), with its orientation and the traction-based failure criterion consistently determined a posteriori from the given stress-based counterpart. The general results are then particularized to the 2D conditions of plane stress and plane strain. It is found that in the case of plane stress, strain localization into a strong (or regularized) discontinuity can occur at the onset of strain softening. Contrariwise, owing to an extra kinematic constraint, in the condition of plane strain some continuous inelastic deformations and substantial re-orientation of principal strain directions in general have to take place in the softening regime prior to strain localization. The classical Rankine, Mohr–Coulomb, von Mises (J2) and Drucker–Prager criteria are analyzed as illustrative examples. In particular, both the closed-form solutions for the discontinuity angles validated by numerical simulations and the corresponding traction-based failure criteria are obtained.Peer Reviewed20162016-06-0120172017-03-02journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/101892https://dx.doi.org/10.1016/j.ijsolstr.2016.03.005reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1018922026-05-27T15:37:01Z
dc.title.none.fl_str_mv A thermodynamically consistent plastic-damage framework for localized failure in quasi-brittle solids: material model and strain localization analysis
title A thermodynamically consistent plastic-damage framework for localized failure in quasi-brittle solids: material model and strain localization analysis
spellingShingle A thermodynamically consistent plastic-damage framework for localized failure in quasi-brittle solids: material model and strain localization analysis
Wu, Jian-Ying
Concrete--Fracture
Localized failure
Damage
Plasticity
Fracture
Constitutive behavior
Strain localization
Concrete
Formigó -- Fractures
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Materials i estructures de formigó
title_short A thermodynamically consistent plastic-damage framework for localized failure in quasi-brittle solids: material model and strain localization analysis
title_full A thermodynamically consistent plastic-damage framework for localized failure in quasi-brittle solids: material model and strain localization analysis
title_fullStr A thermodynamically consistent plastic-damage framework for localized failure in quasi-brittle solids: material model and strain localization analysis
title_full_unstemmed A thermodynamically consistent plastic-damage framework for localized failure in quasi-brittle solids: material model and strain localization analysis
title_sort A thermodynamically consistent plastic-damage framework for localized failure in quasi-brittle solids: material model and strain localization analysis
dc.creator.none.fl_str_mv Wu, Jian-Ying
Cervera Ruiz, Miguel|||0000-0003-3437-6703
author Wu, Jian-Ying
author_facet Wu, Jian-Ying
Cervera Ruiz, Miguel|||0000-0003-3437-6703
author_role author
author2 Cervera Ruiz, Miguel|||0000-0003-3437-6703
author2_role author
dc.subject.none.fl_str_mv Concrete--Fracture
Localized failure
Damage
Plasticity
Fracture
Constitutive behavior
Strain localization
Concrete
Formigó -- Fractures
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Materials i estructures de formigó
topic Concrete--Fracture
Localized failure
Damage
Plasticity
Fracture
Constitutive behavior
Strain localization
Concrete
Formigó -- Fractures
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Materials i estructures de formigó
description Aiming for the modeling of localized failure in quasi-brittle solids, this paper addresses a thermodynamically consistent plastic-damage framework and the corresponding strain localization analysis. A unified elastoplastic damage model is first presented based on two alternative kinematic decompositions assuming infinitesimal deformations, with the evolution laws of involved internal variables characterized by a dissipative flow tensor. For the strong (or regularized) discontinuity to form in such inelastic quasi-brittle solids and to evolve eventually into a fully softened one, a novel strain localization analysis is then suggested. A kinematic constraint more demanding than the classical discontinuous bifurcation condition is derived by accounting for the traction continuity and the loading/unloading states consistent with the kinematics of a strong (or regularized) discontinuity. More specifically, the strain jumps characterized by Maxwell’s kinematic condition have to be completely inelastic (energy dissipative). Reproduction of this kinematics implies vanishing of the aforesaid dissipative flow tensorial components in the directions orthogonal to the discontinuity orientation. This property allows naturally developing a localized plastic-damage model for the discontinuity (band), with its orientation and the traction-based failure criterion consistently determined a posteriori from the given stress-based counterpart. The general results are then particularized to the 2D conditions of plane stress and plane strain. It is found that in the case of plane stress, strain localization into a strong (or regularized) discontinuity can occur at the onset of strain softening. Contrariwise, owing to an extra kinematic constraint, in the condition of plane strain some continuous inelastic deformations and substantial re-orientation of principal strain directions in general have to take place in the softening regime prior to strain localization. The classical Rankine, Mohr–Coulomb, von Mises (J2) and Drucker–Prager criteria are analyzed as illustrative examples. In particular, both the closed-form solutions for the discontinuity angles validated by numerical simulations and the corresponding traction-based failure criteria are obtained.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-06-01
2017
2017-03-02
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/101892
https://dx.doi.org/10.1016/j.ijsolstr.2016.03.005
url https://hdl.handle.net/2117/101892
https://dx.doi.org/10.1016/j.ijsolstr.2016.03.005
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

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
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

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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