Meso-scale fracture simulation using an augmented Lagrangian approach

A cohesive zone model implemented in an augmented Lagrangian functional is used for simulation of meso-scale fracture problems in this paper. The method originally developed by Lorentz is first presented in a rigorous variational framework. The equivalence between the stationary point of the one-fie...

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Detalles Bibliográficos
Autores: Labanda, Nicolás A., Giusti, Sebastián M., Luccioni, Bibiana M.
Tipo de recurso: artículo
Fecha de publicación:2016
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:2117/96829
Acceso en línea:https://hdl.handle.net/2117/96829
https://dx.doi.org/10.1177/1056789516671092
Access Level:acceso abierto
Palabra clave:Fracture mechanics--Mathematical models
Augmented Lagrangian method
cohesive zone model
fracture simulation
extrinsic traction–separation law
composite materials
COMP-DES-MAT Project
COMPDESMAT Project
Mecànica de fractura -- Models matemàtics
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
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spelling Meso-scale fracture simulation using an augmented Lagrangian approachLabanda, Nicolás A.Giusti, Sebastián M.Luccioni, Bibiana M.Fracture mechanics--Mathematical modelsAugmented Lagrangian methodcohesive zone modelfracture simulationextrinsic traction–separation lawcomposite materialsCOMP-DES-MAT ProjectCOMPDESMAT ProjectMecànica de fractura -- Models matemàticsÀrees temàtiques de la UPC::Enginyeria civil::Materials i estructuresA cohesive zone model implemented in an augmented Lagrangian functional is used for simulation of meso-scale fracture problems in this paper. The method originally developed by Lorentz is first presented in a rigorous variational framework. The equivalence between the stationary point of the one-field problem and the saddle point of the mixed formulation is proved by solving the double inequality of the mixed functional. An adaptation to simulate fracture phenomena in the meso-scale via mesh modification is also presented as an algorithm to insert zero-thickness interface elements based on Lagrange multipliers, boarding the non-trivial task of the field interpolation for different crack paths (plain and tortuous). A suitable tool to study the matrix fracture and debonding phenomena in composites with strongly different component stiffnesses that avoids ill-conditioning matrices associated with intrinsic cohesive zone models is obtained. The method stability is discussed using a simple patch test. Some numerical applications to fracture problems taking into account the mesostructure and, particularly, the study of transverse failure of longitudinal fiber reinforced epoxy and the fracture in concrete specimens are included in the paper. Comparing the numerical results with the experimental results obtained by other researchers, the paper introduces a discussion about the influence of coarse aggregate volume in meso-scale fracture mechanisms in concrete L-shaped specimens.Peer Reviewed20162016-10-0120162016-11-18journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/96829https://dx.doi.org/10.1177/1056789516671092reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengEuropean Commission http://dx.doi.org/10.13039/100011102 Seventh Framework Programme 320815 Advanced tools for computational design of engineering materialsopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/968292026-05-27T15:37:01Z
dc.title.none.fl_str_mv Meso-scale fracture simulation using an augmented Lagrangian approach
title Meso-scale fracture simulation using an augmented Lagrangian approach
spellingShingle Meso-scale fracture simulation using an augmented Lagrangian approach
Labanda, Nicolás A.
Fracture mechanics--Mathematical models
Augmented Lagrangian method
cohesive zone model
fracture simulation
extrinsic traction–separation law
composite materials
COMP-DES-MAT Project
COMPDESMAT Project
Mecànica de fractura -- Models matemàtics
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
title_short Meso-scale fracture simulation using an augmented Lagrangian approach
title_full Meso-scale fracture simulation using an augmented Lagrangian approach
title_fullStr Meso-scale fracture simulation using an augmented Lagrangian approach
title_full_unstemmed Meso-scale fracture simulation using an augmented Lagrangian approach
title_sort Meso-scale fracture simulation using an augmented Lagrangian approach
dc.creator.none.fl_str_mv Labanda, Nicolás A.
Giusti, Sebastián M.
Luccioni, Bibiana M.
author Labanda, Nicolás A.
author_facet Labanda, Nicolás A.
Giusti, Sebastián M.
Luccioni, Bibiana M.
author_role author
author2 Giusti, Sebastián M.
Luccioni, Bibiana M.
author2_role author
author
dc.subject.none.fl_str_mv Fracture mechanics--Mathematical models
Augmented Lagrangian method
cohesive zone model
fracture simulation
extrinsic traction–separation law
composite materials
COMP-DES-MAT Project
COMPDESMAT Project
Mecànica de fractura -- Models matemàtics
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
topic Fracture mechanics--Mathematical models
Augmented Lagrangian method
cohesive zone model
fracture simulation
extrinsic traction–separation law
composite materials
COMP-DES-MAT Project
COMPDESMAT Project
Mecànica de fractura -- Models matemàtics
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
description A cohesive zone model implemented in an augmented Lagrangian functional is used for simulation of meso-scale fracture problems in this paper. The method originally developed by Lorentz is first presented in a rigorous variational framework. The equivalence between the stationary point of the one-field problem and the saddle point of the mixed formulation is proved by solving the double inequality of the mixed functional. An adaptation to simulate fracture phenomena in the meso-scale via mesh modification is also presented as an algorithm to insert zero-thickness interface elements based on Lagrange multipliers, boarding the non-trivial task of the field interpolation for different crack paths (plain and tortuous). A suitable tool to study the matrix fracture and debonding phenomena in composites with strongly different component stiffnesses that avoids ill-conditioning matrices associated with intrinsic cohesive zone models is obtained. The method stability is discussed using a simple patch test. Some numerical applications to fracture problems taking into account the mesostructure and, particularly, the study of transverse failure of longitudinal fiber reinforced epoxy and the fracture in concrete specimens are included in the paper. Comparing the numerical results with the experimental results obtained by other researchers, the paper introduces a discussion about the influence of coarse aggregate volume in meso-scale fracture mechanisms in concrete L-shaped specimens.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-10-01
2016
2016-11-18
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/2117/96829
https://dx.doi.org/10.1177/1056789516671092
url https://hdl.handle.net/2117/96829
https://dx.doi.org/10.1177/1056789516671092
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv European Commission http://dx.doi.org/10.13039/100011102 Seventh Framework Programme 320815 Advanced tools for computational design of engineering materials
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
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
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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