A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids

The asymmetric tensile/compressive material behavior and microcracks closure-reopening (MCR) effects exhibited by quasi-brittle solids are of significant importance to the nonlinear responses of engineering structures under cyclic loading, e.g., earthquake excitations. Based on our previous work (Ce...

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Detalles Bibliográficos
Autores: Wu, Jian-Ying, Cervera Ruiz, Miguel|||0000-0003-3437-6703
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/117030
Acceso en línea:https://hdl.handle.net/2117/117030
https://dx.doi.org/10.1016/j.ijsolstr.2018.02.004
Access Level:acceso abierto
Palabra clave:Concrete--Cracking
Damage Thermodynamics Quasi-brittle failure Concrete Cyclic loading Microcracks closure-reopening Unilateral effects
Formigó -- Fractures
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Materials i estructures de formigó
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spelling A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solidsWu, Jian-YingCervera Ruiz, Miguel|||0000-0003-3437-6703Concrete--CrackingDamage Thermodynamics Quasi-brittle failure Concrete Cyclic loading Microcracks closure-reopening Unilateral effectsFormigó -- FracturesÀrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Materials i estructures de formigóThe asymmetric tensile/compressive material behavior and microcracks closure-reopening (MCR) effects exhibited by quasi-brittle solids are of significant importance to the nonlinear responses of engineering structures under cyclic loading, e.g., earthquake excitations. Based on our previous work (Cervera et al., 1995; Faria et al., 1998; Wu et al., 2006) this work addresses a novel thermodynamically consistent unilateral damage model for concrete. In particular, the positive/negative projection (PNP) of the effective stress tensor and the additive bi-scalar damage constitutive relation are maintained owing to the conceptual simplicity and computational efficiency. It is found that the classical PNP widely adopted in the literature is not optimal for this damage model, since the resulting stiffness is not always of major symmetry. Consequently, a well-defined free energy potential does not exist in general cases and the model cannot be cast into the framework of thermodynamics with internal variables. Furthermore, the damage induced anisotropy cannot be captured, exhibiting excessive lateral deformations under uniaxial tension. To overcome the above issues, a novel PNP, variationally interpreted as the closest point projection of the effective stress in energy norm, is proposed with closed-form solution. With the novel PNP, the secant stiffness tensor of the proposed unilateral damage model always possesses major symmetry and exhibits orthotropic behavior under uniaxial tension and mixed tension/compression. The corresponding thermodynamics framework is then given, resulting in an energy release rate based rounded-Rankine type damage criterion appropriate for tensile failure in quasi-brittle solids. Several numerical examples of single-point verifications and benchmark tests are presented. It is demonstrated that the proposed model is capable of characterizing localized failure of concrete under proportional and non-proportional static loading, as well as the MCR effects under seismic cyclic loading.Peer Reviewed20182018-05-0120182018-05-08journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/117030https://dx.doi.org/10.1016/j.ijsolstr.2018.02.004reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1170302026-05-27T15:37:01Z
dc.title.none.fl_str_mv A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids
title A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids
spellingShingle A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids
Wu, Jian-Ying
Concrete--Cracking
Damage Thermodynamics Quasi-brittle failure Concrete Cyclic loading Microcracks closure-reopening Unilateral effects
Formigó -- Fractures
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Materials i estructures de formigó
title_short A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids
title_full A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids
title_fullStr A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids
title_full_unstemmed A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids
title_sort A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids
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--Cracking
Damage Thermodynamics Quasi-brittle failure Concrete Cyclic loading Microcracks closure-reopening Unilateral effects
Formigó -- Fractures
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Materials i estructures de formigó
topic Concrete--Cracking
Damage Thermodynamics Quasi-brittle failure Concrete Cyclic loading Microcracks closure-reopening Unilateral effects
Formigó -- Fractures
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Materials i estructures de formigó
description The asymmetric tensile/compressive material behavior and microcracks closure-reopening (MCR) effects exhibited by quasi-brittle solids are of significant importance to the nonlinear responses of engineering structures under cyclic loading, e.g., earthquake excitations. Based on our previous work (Cervera et al., 1995; Faria et al., 1998; Wu et al., 2006) this work addresses a novel thermodynamically consistent unilateral damage model for concrete. In particular, the positive/negative projection (PNP) of the effective stress tensor and the additive bi-scalar damage constitutive relation are maintained owing to the conceptual simplicity and computational efficiency. It is found that the classical PNP widely adopted in the literature is not optimal for this damage model, since the resulting stiffness is not always of major symmetry. Consequently, a well-defined free energy potential does not exist in general cases and the model cannot be cast into the framework of thermodynamics with internal variables. Furthermore, the damage induced anisotropy cannot be captured, exhibiting excessive lateral deformations under uniaxial tension. To overcome the above issues, a novel PNP, variationally interpreted as the closest point projection of the effective stress in energy norm, is proposed with closed-form solution. With the novel PNP, the secant stiffness tensor of the proposed unilateral damage model always possesses major symmetry and exhibits orthotropic behavior under uniaxial tension and mixed tension/compression. The corresponding thermodynamics framework is then given, resulting in an energy release rate based rounded-Rankine type damage criterion appropriate for tensile failure in quasi-brittle solids. Several numerical examples of single-point verifications and benchmark tests are presented. It is demonstrated that the proposed model is capable of characterizing localized failure of concrete under proportional and non-proportional static loading, as well as the MCR effects under seismic cyclic loading.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-05-01
2018
2018-05-08
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/2117/117030
https://dx.doi.org/10.1016/j.ijsolstr.2018.02.004
url https://hdl.handle.net/2117/117030
https://dx.doi.org/10.1016/j.ijsolstr.2018.02.004
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
Attribution-NonCommercial-NoDerivs 3.0 Spain
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
Attribution-NonCommercial-NoDerivs 3.0 Spain
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 15,300719

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