m-AGC tangent visco-plastic operator with hardening/softening, and application to the visco-plastic relaxation analysis of stable and unstable problems using fracture-based geomechanical interfaces

A previous perfect visco-plastic constitutive formulation of the Perzyna type incorporating the concepts of prescribed stress increments and m-AGC tangent operator (m-Assumed algorithmic generalized compliance tangent operator) is extended to the case of Hardening/Softening (H/S). This extension is...

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Autores: Jaqués Adell, Irene|||0000-0002-3262-1974, Carol, Ignacio|||0000-0002-1821-7203
Tipo de recurso: artículo
Fecha de publicación:2024
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:2117/407430
Acceso en línea:https://hdl.handle.net/2117/407430
https://dx.doi.org/10.1002/nag.3734
Access Level:acceso abierto
Palabra clave:Viscoplasticity
Finite element method
Instabilities
Interface elements
Visco-plastic relaxation
Visco-plasticity
Viscoplasticitat
Àrees temàtiques de la UPC::Enginyeria civil::Geotècnia::Mecànica de sòls
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spelling m-AGC tangent visco-plastic operator with hardening/softening, and application to the visco-plastic relaxation analysis of stable and unstable problems using fracture-based geomechanical interfacesJaqués Adell, Irene|||0000-0002-3262-1974Carol, Ignacio|||0000-0002-1821-7203ViscoplasticityFinite element methodInstabilitiesInterface elementsVisco-plastic relaxationVisco-plasticityViscoplasticitatÀrees temàtiques de la UPC::Enginyeria civil::Geotècnia::Mecànica de sòlsA previous perfect visco-plastic constitutive formulation of the Perzyna type incorporating the concepts of prescribed stress increments and m-AGC tangent operator (m-Assumed algorithmic generalized compliance tangent operator) is extended to the case of Hardening/Softening (H/S). This extension is possible thanks to the closed-form solution developed for the evolution of the loading function during a visco-plastic time step. The formulation is then applied to constitutive modeling of zero-thickness interfaces on the basis of a well-established fracture-based elasto-plastic formulation, which in this manner is extended to visco-plasticity. The resulting model is implemented in the finite element (FE) and small-strain context by using both a standard Newton Raphson scheme for physical visco-plasticity in which visco-plastic time corresponds to physical time, and a Visco-Plastic Relaxation (VPR) scheme, in which time corresponds to a fictitious time governing the transition from the elastic to the inviscid elasto-plastic response. The numerical implementation is verified satisfactorily for common loading cases at interfaces such as pure tension (mode I) opening and shear-compression (mixed-mode) cracking/sliding, showing that the visco-plastic results match the predictions of the fracture mechanics inviscid model in the long term. In addition, it is also shown that the VPR strategy developed is capable of providing temporary stability while the equilibrium path is recovered during instability events such as a snap-back in the load-displacement curve. This feature opens the door to a number of potential advanced applications of the formulation developed in the geomechanical context.Partial support for this research has come from project PID2020-117933RB-100 from MCIN (Madrid), which includes FEDER funds from the European Union, and 2021SGR00610 from Generalitat de Catalunya (Barcelona). The first author also wishes to thank Generalitat de Catalunya (Barcelona) for the doctoral fellowship FI-AGAUR.Peer Reviewed20242024-08-0120242024-05-03journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/407430https://dx.doi.org/10.1002/nag.3734reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengAgencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-117933RB-I00 NUEVOS DESARROLLOS EN EL ESTUDIO EXPERIMENTAL Y NUMERICO DE LA DEGRADACION DE CEMENTOS DE POZOS POR ATAQUE ACIDO, EN LUGARES DE ALMACENAMIENTO DE CARBONOopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/4074302026-05-27T15:37:01Z
dc.title.none.fl_str_mv m-AGC tangent visco-plastic operator with hardening/softening, and application to the visco-plastic relaxation analysis of stable and unstable problems using fracture-based geomechanical interfaces
title m-AGC tangent visco-plastic operator with hardening/softening, and application to the visco-plastic relaxation analysis of stable and unstable problems using fracture-based geomechanical interfaces
spellingShingle m-AGC tangent visco-plastic operator with hardening/softening, and application to the visco-plastic relaxation analysis of stable and unstable problems using fracture-based geomechanical interfaces
Jaqués Adell, Irene|||0000-0002-3262-1974
Viscoplasticity
Finite element method
Instabilities
Interface elements
Visco-plastic relaxation
Visco-plasticity
Viscoplasticitat
Àrees temàtiques de la UPC::Enginyeria civil::Geotècnia::Mecànica de sòls
title_short m-AGC tangent visco-plastic operator with hardening/softening, and application to the visco-plastic relaxation analysis of stable and unstable problems using fracture-based geomechanical interfaces
title_full m-AGC tangent visco-plastic operator with hardening/softening, and application to the visco-plastic relaxation analysis of stable and unstable problems using fracture-based geomechanical interfaces
title_fullStr m-AGC tangent visco-plastic operator with hardening/softening, and application to the visco-plastic relaxation analysis of stable and unstable problems using fracture-based geomechanical interfaces
title_full_unstemmed m-AGC tangent visco-plastic operator with hardening/softening, and application to the visco-plastic relaxation analysis of stable and unstable problems using fracture-based geomechanical interfaces
title_sort m-AGC tangent visco-plastic operator with hardening/softening, and application to the visco-plastic relaxation analysis of stable and unstable problems using fracture-based geomechanical interfaces
dc.creator.none.fl_str_mv Jaqués Adell, Irene|||0000-0002-3262-1974
Carol, Ignacio|||0000-0002-1821-7203
author Jaqués Adell, Irene|||0000-0002-3262-1974
author_facet Jaqués Adell, Irene|||0000-0002-3262-1974
Carol, Ignacio|||0000-0002-1821-7203
author_role author
author2 Carol, Ignacio|||0000-0002-1821-7203
author2_role author
dc.subject.none.fl_str_mv Viscoplasticity
Finite element method
Instabilities
Interface elements
Visco-plastic relaxation
Visco-plasticity
Viscoplasticitat
Àrees temàtiques de la UPC::Enginyeria civil::Geotècnia::Mecànica de sòls
topic Viscoplasticity
Finite element method
Instabilities
Interface elements
Visco-plastic relaxation
Visco-plasticity
Viscoplasticitat
Àrees temàtiques de la UPC::Enginyeria civil::Geotècnia::Mecànica de sòls
description A previous perfect visco-plastic constitutive formulation of the Perzyna type incorporating the concepts of prescribed stress increments and m-AGC tangent operator (m-Assumed algorithmic generalized compliance tangent operator) is extended to the case of Hardening/Softening (H/S). This extension is possible thanks to the closed-form solution developed for the evolution of the loading function during a visco-plastic time step. The formulation is then applied to constitutive modeling of zero-thickness interfaces on the basis of a well-established fracture-based elasto-plastic formulation, which in this manner is extended to visco-plasticity. The resulting model is implemented in the finite element (FE) and small-strain context by using both a standard Newton Raphson scheme for physical visco-plasticity in which visco-plastic time corresponds to physical time, and a Visco-Plastic Relaxation (VPR) scheme, in which time corresponds to a fictitious time governing the transition from the elastic to the inviscid elasto-plastic response. The numerical implementation is verified satisfactorily for common loading cases at interfaces such as pure tension (mode I) opening and shear-compression (mixed-mode) cracking/sliding, showing that the visco-plastic results match the predictions of the fracture mechanics inviscid model in the long term. In addition, it is also shown that the VPR strategy developed is capable of providing temporary stability while the equilibrium path is recovered during instability events such as a snap-back in the load-displacement curve. This feature opens the door to a number of potential advanced applications of the formulation developed in the geomechanical context.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-08-01
2024
2024-05-03
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/407430
https://dx.doi.org/10.1002/nag.3734
url https://hdl.handle.net/2117/407430
https://dx.doi.org/10.1002/nag.3734
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-117933RB-I00 NUEVOS DESARROLLOS EN EL ESTUDIO EXPERIMENTAL Y NUMERICO DE LA DEGRADACION DE CEMENTOS DE POZOS POR ATAQUE ACIDO, EN LUGARES DE ALMACENAMIENTO DE CARBONO
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
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-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
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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