Application of configurational mechanics to crack propagation in quasi-brittle materials

The paper describes a numerical approach to represent cracking along non-pre-established directions, in 2-D structures or domains of quasi-brittle materials such as concrete or rock. The approach is developed on the basis of the FEM with zero-thickness interface elements, combined with the principle...

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Autores: Crusat Codina, Laura|||0000-0001-6221-4985, Carol, Ignacio|||0000-0002-1821-7203, Garolera Vinent, Daniel
Tipo de recurso: artículo
Fecha de publicación:2021
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:2117/335965
Acceso en línea:https://hdl.handle.net/2117/335965
https://dx.doi.org/10.1016/j.engfracmech.2020.107349
Access Level:acceso abierto
Palabra clave:Brittleness--Mathematical models
Configurational mechanics
Crack propagation
Non-pre-established crack paths
Nodes relocation
Finite Element Method
Fragilitat -- Models matemàtics
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
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repository_id_str
spelling Application of configurational mechanics to crack propagation in quasi-brittle materialsCrusat Codina, Laura|||0000-0001-6221-4985Carol, Ignacio|||0000-0002-1821-7203Garolera Vinent, DanielBrittleness--Mathematical modelsConfigurational mechanicsCrack propagationNon-pre-established crack pathsNodes relocationFinite Element MethodFragilitat -- Models matemàticsÀrees temàtiques de la UPC::Enginyeria civil::Materials i estructuresÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finitsThe paper describes a numerical approach to represent cracking along non-pre-established directions, in 2-D structures or domains of quasi-brittle materials such as concrete or rock. The approach is developed on the basis of the FEM with zero-thickness interface elements, combined with the principles of Configurational Mechanics. Interface elements are pre-inserted along all potential crack lines in the mesh, and are equipped with a plasticity-type fracture mechanics-based constitutive model that incorporates fracture energies in mode I and IIa as constitutive parameters. Once an interface element starts cracking, an iterative re-orientation process is triggered according to the direction of configurational forces. After that process has converged, the interface orientation becomes fixed and the surrounding nodes are relocated to preserve mesh quality. The overall procedure developed has the main advantages of a fixed mesh topology (constant number of nodes) and a crack re-orientation criterion based on the minimization of the overall structural energy, as implied by the definition of configurational forces. Various examples of application are presented in which cracks get re-oriented during calculations. The results show good agreement with the crack paths known by symmetry considerations or experimental results, thus illustrating the good performance of the approach proposed.The work has been partially supported by research grants BIA2016-76543-R from MEC (Madrid), which includes FEDER funds from the European Union, and 2017SGR-1153 from Generalitat de Catalunya (Barcelona). The first author would also like to thank MICINN (Madrid) for the FPI doctoral fellowship received.Peer Reviewed20212021-01-0120212021-01-25journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/335965https://dx.doi.org/10.1016/j.engfracmech.2020.107349reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttps://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3359652026-05-27T15:37:01Z
dc.title.none.fl_str_mv Application of configurational mechanics to crack propagation in quasi-brittle materials
title Application of configurational mechanics to crack propagation in quasi-brittle materials
spellingShingle Application of configurational mechanics to crack propagation in quasi-brittle materials
Crusat Codina, Laura|||0000-0001-6221-4985
Brittleness--Mathematical models
Configurational mechanics
Crack propagation
Non-pre-established crack paths
Nodes relocation
Finite Element Method
Fragilitat -- Models matemàtics
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
title_short Application of configurational mechanics to crack propagation in quasi-brittle materials
title_full Application of configurational mechanics to crack propagation in quasi-brittle materials
title_fullStr Application of configurational mechanics to crack propagation in quasi-brittle materials
title_full_unstemmed Application of configurational mechanics to crack propagation in quasi-brittle materials
title_sort Application of configurational mechanics to crack propagation in quasi-brittle materials
dc.creator.none.fl_str_mv Crusat Codina, Laura|||0000-0001-6221-4985
Carol, Ignacio|||0000-0002-1821-7203
Garolera Vinent, Daniel
author Crusat Codina, Laura|||0000-0001-6221-4985
author_facet Crusat Codina, Laura|||0000-0001-6221-4985
Carol, Ignacio|||0000-0002-1821-7203
Garolera Vinent, Daniel
author_role author
author2 Carol, Ignacio|||0000-0002-1821-7203
Garolera Vinent, Daniel
author2_role author
author
dc.subject.none.fl_str_mv Brittleness--Mathematical models
Configurational mechanics
Crack propagation
Non-pre-established crack paths
Nodes relocation
Finite Element Method
Fragilitat -- Models matemàtics
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
topic Brittleness--Mathematical models
Configurational mechanics
Crack propagation
Non-pre-established crack paths
Nodes relocation
Finite Element Method
Fragilitat -- Models matemàtics
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
description The paper describes a numerical approach to represent cracking along non-pre-established directions, in 2-D structures or domains of quasi-brittle materials such as concrete or rock. The approach is developed on the basis of the FEM with zero-thickness interface elements, combined with the principles of Configurational Mechanics. Interface elements are pre-inserted along all potential crack lines in the mesh, and are equipped with a plasticity-type fracture mechanics-based constitutive model that incorporates fracture energies in mode I and IIa as constitutive parameters. Once an interface element starts cracking, an iterative re-orientation process is triggered according to the direction of configurational forces. After that process has converged, the interface orientation becomes fixed and the surrounding nodes are relocated to preserve mesh quality. The overall procedure developed has the main advantages of a fixed mesh topology (constant number of nodes) and a crack re-orientation criterion based on the minimization of the overall structural energy, as implied by the definition of configurational forces. Various examples of application are presented in which cracks get re-oriented during calculations. The results show good agreement with the crack paths known by symmetry considerations or experimental results, thus illustrating the good performance of the approach proposed.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-01-01
2021
2021-01-25
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/2117/335965
https://dx.doi.org/10.1016/j.engfracmech.2020.107349
url https://hdl.handle.net/2117/335965
https://dx.doi.org/10.1016/j.engfracmech.2020.107349
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-NoDerivatives 4.0 International
https://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
https://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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score 15,300719

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