A linear elastic-brittle interface model: application for the onset and propagation of a fibre-matrix interface crack under biaxial transverse loads

A new linear elastic and perfectly brittle interface model for mixed mode is presented and analysed. In this model, the interface is represented by a continuous distribution of springs which simulates the presence of a thin elastic layer. The constitutive law for the continuous distribution of norma...

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Autores: Mantic, Vladislav, Távara Mendoza, Luis Arístides, Blázquez Gámez, Antonio, Graciani Díaz, Enrique, París Carballo, Federico, París Carballo, Federico (Coordinador)
Tipo de documento: artigo
Estado:Versión enviada para evaluación y publicación
Data de publicação:2015
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/48210
Acesso em linha:http://hdl.handle.net/11441/48210
https://doi.org/10.1007/s10704-015-0043-0
Access Level:Acceso aberto
Palavra-chave:Debonding, Fracture toughness, Interfacial strength, Failure criteria, Transverse cracking, Adhesive contact
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spelling A linear elastic-brittle interface model: application for the onset and propagation of a fibre-matrix interface crack under biaxial transverse loadsMantic, VladislavTávara Mendoza, Luis ArístidesBlázquez Gámez, AntonioGraciani Díaz, EnriqueParís Carballo, FedericoParís Carballo, Federico (Coordinador)Debonding, Fracture toughness, Interfacial strength, Failure criteria, Transverse cracking, Adhesive contactA new linear elastic and perfectly brittle interface model for mixed mode is presented and analysed. In this model, the interface is represented by a continuous distribution of springs which simulates the presence of a thin elastic layer. The constitutive law for the continuous distribution of normal and tangential initially-linear-elastic springs takes into account possible frictionless elastic contact between adherents once a portion of the interface is broken. A perfectly brittle failure criterion is employed for the springs, which enables the study of crack onset and propagation. This interface failure criterion takes into account the variation of the interface fracture toughness with the fracture mode mixity. A unified way to represent several phenomenological both energy and stress based failure criteria is introduced. A proof relating the energy release rate and tractions at an interface point (not necessarily a crack tip point) is introduced for this interface model by adapting Irwin’s crack closure technique for the first time. The main advantages of the present interface model are its simplicity, robustness and computational efficiency, even in the presence of snap-back and snap-through instabilities, when the so-called sequentially linear (elastic) analysis is applied. This model is applied here in order to study crack onset and propagation at the fibre-matrix interface in a composite under tensile/compressive remote biaxial transverse loads. Firstly, this model is used to obtain analytical predictions about interface crack onset, while investigating a single fibre embedded in a matrix which is subjected to uniform remote transverse loads. Then, numerical results provided by a 2D boundary element analysis show that a fibre-matrix interface failure is initiated by the onset of a finite debond in the neighbourhood of the interface point where the failure criterion is first reached (under increasing proportional load); this debond further propagates along the interface in mixed mode or even, in some configurations, with the crack tip under compression. The analytical predictions of the debond onset position and associated critical load are used for several parametric studies of the influence of load biaxiality, fracture-mode sensitivity and brittleness number, and for checking the computational procedure implemented.Ministerio de Educación y Ciencia TRA2006-08077 MAT2009-14022Ministerio de Economía y Competitividad (España) MAT2012-37387 DPI2012-37187Junta de Andalucía TEP-2045 TEP-4051 P12-TEP-1050SpringerParís Carballo, FedericoMecánica de Medios Continuos y Teoría de EstructurasTEP-131: Elasticidad y Resistencia de Materiales2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/48210https://doi.org/10.1007/s10704-015-0043-0reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésInternational Journal of Fracture, 195 (1), 15-38.TRA2006-08077MAT2009-14022info:eu-repo/grantAgreement/MINECO/MAT2012-37387/info:eu-repo/grantAgreement/MINECO/DPI2012-37187/TEP-2045TEP-4051P12-TEP-1050http://link.springer.com/article/10.1007/s10704-015-0043-0?view=classicinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/482102026-06-17T12:51:07Z
dc.title.none.fl_str_mv A linear elastic-brittle interface model: application for the onset and propagation of a fibre-matrix interface crack under biaxial transverse loads
title A linear elastic-brittle interface model: application for the onset and propagation of a fibre-matrix interface crack under biaxial transverse loads
spellingShingle A linear elastic-brittle interface model: application for the onset and propagation of a fibre-matrix interface crack under biaxial transverse loads
Mantic, Vladislav
Debonding, Fracture toughness, Interfacial strength, Failure criteria, Transverse cracking, Adhesive contact
title_short A linear elastic-brittle interface model: application for the onset and propagation of a fibre-matrix interface crack under biaxial transverse loads
title_full A linear elastic-brittle interface model: application for the onset and propagation of a fibre-matrix interface crack under biaxial transverse loads
title_fullStr A linear elastic-brittle interface model: application for the onset and propagation of a fibre-matrix interface crack under biaxial transverse loads
title_full_unstemmed A linear elastic-brittle interface model: application for the onset and propagation of a fibre-matrix interface crack under biaxial transverse loads
title_sort A linear elastic-brittle interface model: application for the onset and propagation of a fibre-matrix interface crack under biaxial transverse loads
dc.creator.none.fl_str_mv Mantic, Vladislav
Távara Mendoza, Luis Arístides
Blázquez Gámez, Antonio
Graciani Díaz, Enrique
París Carballo, Federico
París Carballo, Federico (Coordinador)
author Mantic, Vladislav
author_facet Mantic, Vladislav
Távara Mendoza, Luis Arístides
Blázquez Gámez, Antonio
Graciani Díaz, Enrique
París Carballo, Federico
París Carballo, Federico (Coordinador)
author_role author
author2 Távara Mendoza, Luis Arístides
Blázquez Gámez, Antonio
Graciani Díaz, Enrique
París Carballo, Federico
París Carballo, Federico (Coordinador)
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv París Carballo, Federico
Mecánica de Medios Continuos y Teoría de Estructuras
TEP-131: Elasticidad y Resistencia de Materiales
dc.subject.none.fl_str_mv Debonding, Fracture toughness, Interfacial strength, Failure criteria, Transverse cracking, Adhesive contact
topic Debonding, Fracture toughness, Interfacial strength, Failure criteria, Transverse cracking, Adhesive contact
description A new linear elastic and perfectly brittle interface model for mixed mode is presented and analysed. In this model, the interface is represented by a continuous distribution of springs which simulates the presence of a thin elastic layer. The constitutive law for the continuous distribution of normal and tangential initially-linear-elastic springs takes into account possible frictionless elastic contact between adherents once a portion of the interface is broken. A perfectly brittle failure criterion is employed for the springs, which enables the study of crack onset and propagation. This interface failure criterion takes into account the variation of the interface fracture toughness with the fracture mode mixity. A unified way to represent several phenomenological both energy and stress based failure criteria is introduced. A proof relating the energy release rate and tractions at an interface point (not necessarily a crack tip point) is introduced for this interface model by adapting Irwin’s crack closure technique for the first time. The main advantages of the present interface model are its simplicity, robustness and computational efficiency, even in the presence of snap-back and snap-through instabilities, when the so-called sequentially linear (elastic) analysis is applied. This model is applied here in order to study crack onset and propagation at the fibre-matrix interface in a composite under tensile/compressive remote biaxial transverse loads. Firstly, this model is used to obtain analytical predictions about interface crack onset, while investigating a single fibre embedded in a matrix which is subjected to uniform remote transverse loads. Then, numerical results provided by a 2D boundary element analysis show that a fibre-matrix interface failure is initiated by the onset of a finite debond in the neighbourhood of the interface point where the failure criterion is first reached (under increasing proportional load); this debond further propagates along the interface in mixed mode or even, in some configurations, with the crack tip under compression. The analytical predictions of the debond onset position and associated critical load are used for several parametric studies of the influence of load biaxiality, fracture-mode sensitivity and brittleness number, and for checking the computational procedure implemented.
publishDate 2015
dc.date.none.fl_str_mv 2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/48210
https://doi.org/10.1007/s10704-015-0043-0
url http://hdl.handle.net/11441/48210
https://doi.org/10.1007/s10704-015-0043-0
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv International Journal of Fracture, 195 (1), 15-38.
TRA2006-08077
MAT2009-14022
info:eu-repo/grantAgreement/MINECO/MAT2012-37387/
info:eu-repo/grantAgreement/MINECO/DPI2012-37187/
TEP-2045
TEP-4051
P12-TEP-1050
http://link.springer.com/article/10.1007/s10704-015-0043-0?view=classic
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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