Phase-field modeling of fracture via homogenization

This study presents a novel phase-field modeling approach for brittle fracture that incorporates computational homogenization techniques to characterize the microstructural degradation of the material. Traditional phase-field models often implement degradation and dissipation functions in terms of t...

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Autores: Villalta i Quintana, Gerard|||0000-0003-4625-9010, Ferrer Ferré, Àlex|||0000-0003-1011-0230, Otero Gruer, Fermín Enrique|||0000-0002-3776-7550
Tipo de recurso: artículo
Fecha de publicación:2025
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:2117/438901
Acceso en línea:https://hdl.handle.net/2117/438901
https://dx.doi.org/10.1007/s10704-025-00861-3
Access Level:acceso abierto
Palabra clave:Phase-field
Homogenization
Fracture
Multi-scale
Brittle materials
Damage
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Càlcul d'estructures
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spelling Phase-field modeling of fracture via homogenizationVillalta i Quintana, Gerard|||0000-0003-4625-9010Ferrer Ferré, Àlex|||0000-0003-1011-0230Otero Gruer, Fermín Enrique|||0000-0002-3776-7550Phase-fieldHomogenizationFractureMulti-scaleBrittle materialsDamageÀrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Càlcul d'estructuresThis study presents a novel phase-field modeling approach for brittle fracture that incorporates computational homogenization techniques to characterize the microstructural degradation of the material. Traditional phase-field models often implement degradation and dissipation functions in terms of the phase-field variable that, despite offering satisfactory results, their physical interpretation and their extension to anisotropic fracture behavior is not always clear. To address this challenge, we develop a framework inspired by the nucleation, growth, and coalescence of microstructural voids to model macroscopic fracture. The proposed approach employs homogenization techniques to calculate the effective material properties when introducing voids of varying sizes and shapes. By solving the homogenization problem for different void geometries, we obtain degradation functions that relate the size of microstructural voids to the homogenized constitutive tensor. These degradation functions provide a direct link between microscale damage mechanisms and macroscale fracture behavior. Comparative analyses with conventional AT1 and AT2 models reveal strong correlations between their response and those obtained via homogenization techniques. This relationship highlights the ability of homogenized models to not only replicate established results but also provide a new understanding of the phase-field variable.This research was co-funded by the Ministry of Research and Universities of the Government of Catalonia and the European Social Fund Plus under Beca 2024 FI-2 00934. Additional support was provided by the Ministry of Science, Innovation and Universities of the Spanish Government through the project TOMAT (reference: PID2023-153213NAI00). We gratefully acknowledge all this support.Peer ReviewedSpringer20252025-06-1820252025-07-17journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/438901https://dx.doi.org/10.1007/s10704-025-00861-3reponame: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 2021-2023 PID2023-153213NA-I00 OPTIMIZACION TOPOLOGICA CON COMPUESTOS Y MATERIALES FLEXIBLESopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/4389012026-05-27T15:37:01Z
dc.title.none.fl_str_mv Phase-field modeling of fracture via homogenization
title Phase-field modeling of fracture via homogenization
spellingShingle Phase-field modeling of fracture via homogenization
Villalta i Quintana, Gerard|||0000-0003-4625-9010
Phase-field
Homogenization
Fracture
Multi-scale
Brittle materials
Damage
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Càlcul d'estructures
title_short Phase-field modeling of fracture via homogenization
title_full Phase-field modeling of fracture via homogenization
title_fullStr Phase-field modeling of fracture via homogenization
title_full_unstemmed Phase-field modeling of fracture via homogenization
title_sort Phase-field modeling of fracture via homogenization
dc.creator.none.fl_str_mv Villalta i Quintana, Gerard|||0000-0003-4625-9010
Ferrer Ferré, Àlex|||0000-0003-1011-0230
Otero Gruer, Fermín Enrique|||0000-0002-3776-7550
author Villalta i Quintana, Gerard|||0000-0003-4625-9010
author_facet Villalta i Quintana, Gerard|||0000-0003-4625-9010
Ferrer Ferré, Àlex|||0000-0003-1011-0230
Otero Gruer, Fermín Enrique|||0000-0002-3776-7550
author_role author
author2 Ferrer Ferré, Àlex|||0000-0003-1011-0230
Otero Gruer, Fermín Enrique|||0000-0002-3776-7550
author2_role author
author
dc.subject.none.fl_str_mv Phase-field
Homogenization
Fracture
Multi-scale
Brittle materials
Damage
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Càlcul d'estructures
topic Phase-field
Homogenization
Fracture
Multi-scale
Brittle materials
Damage
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Càlcul d'estructures
description This study presents a novel phase-field modeling approach for brittle fracture that incorporates computational homogenization techniques to characterize the microstructural degradation of the material. Traditional phase-field models often implement degradation and dissipation functions in terms of the phase-field variable that, despite offering satisfactory results, their physical interpretation and their extension to anisotropic fracture behavior is not always clear. To address this challenge, we develop a framework inspired by the nucleation, growth, and coalescence of microstructural voids to model macroscopic fracture. The proposed approach employs homogenization techniques to calculate the effective material properties when introducing voids of varying sizes and shapes. By solving the homogenization problem for different void geometries, we obtain degradation functions that relate the size of microstructural voids to the homogenized constitutive tensor. These degradation functions provide a direct link between microscale damage mechanisms and macroscale fracture behavior. Comparative analyses with conventional AT1 and AT2 models reveal strong correlations between their response and those obtained via homogenization techniques. This relationship highlights the ability of homogenized models to not only replicate established results but also provide a new understanding of the phase-field variable.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-06-18
2025
2025-07-17
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/2117/438901
https://dx.doi.org/10.1007/s10704-025-00861-3
url https://hdl.handle.net/2117/438901
https://dx.doi.org/10.1007/s10704-025-00861-3
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 2021-2023 PID2023-153213NA-I00 OPTIMIZACION TOPOLOGICA CON COMPUESTOS Y MATERIALES FLEXIBLES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/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 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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 15.812429

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