Evaluation of the incremental ERR in interface cracks with frictional contact and its application in the coupled criterion of finite fracture mechanics

This article is licensed under the Creative Commons Attribution 4.0 International License. http://creativecommons.org/licenses/by/4.0/

Detalles Bibliográficos
Autores: Graciani Díaz, Enrique, Mantic, Vladislav
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/180020
Acceso en línea:https://hdl.handle.net/11441/180020
https://doi.org/10.5802/crmeca.319
Access Level:acceso abierto
Palabra clave:Interface crack
Comninou contact model
Coulomb friction law
Weak singularity
Energy release rate
Irwin integral
VCCT
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spelling Evaluation of the incremental ERR in interface cracks with frictional contact and its application in the coupled criterion of finite fracture mechanicsGraciani Díaz, EnriqueMantic, VladislavInterface crackComninou contact modelCoulomb friction lawWeak singularityEnergy release rateIrwin integralVCCTThis article is licensed under the Creative Commons Attribution 4.0 International License. http://creativecommons.org/licenses/by/4.0/A crack located in a straight and perfectly bonded interface between dissimilar isotropic linear elastic materials with a frictional contact zone adjacent to the crack tip is considered under plane strain conditions. Assuming the Coulombfrictionlaw, thecrack-tip stress singularity in such a crack is weaker than the classical square-root singularity. The main difficulty in predicting propagation of such an interface crack is that the Energy Release Rate (ERR) is zero, which is a direct consequence of this weak stress singularity at the crack tip. Therefore, the Griffith fracture criterion, which assumes infinitesimal crack advances, cannot be applied in this case. To overcome this problem a new approach to predict the propagation of an interface crack with a frictional contact zone at the crack tip, based on the Coupled stress and energy Criterion (CC) of Finite Fracture Mechanics (FFM), is proposed and analyzed. In contrast to previous approaches, the critical f inite crack advance ∆ac is determined by the CC as a structural parameter given by the overall problem configuration. Two methods for calculating the incremental ERR GII(∆a) are considered which differ in the treatment of the frictional energy dissipated along the crack advance ∆a. Closed-form expressions for GII(∆a) are derived for sufficiently large interface cracks when the most singular term of the asymptotic expansion of the elastic solution at the crack tip is dominant along the path of crack advance ∆a before the crack propagation occurs. In this case, closed-form expressions for the critical crack advance ∆ac and the critical stress intensity factor KIIc are derived.Académie des SciencesMecánica de Medios Continuos y Teoría de EstructurasMinisterio de Ciencia, Innovación y Universidades (MICIU). EspañaAgencia Estatal de Investigación. EspañaEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)2025info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/180020https://doi.org/10.5802/crmeca.319reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésComptes Rendus. Mécanique, 353, 1365-1383.PID2021123325OB-I00PID2021-126279OB-I00https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.319/info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1800202026-06-17T12:51:07Z
dc.title.none.fl_str_mv Evaluation of the incremental ERR in interface cracks with frictional contact and its application in the coupled criterion of finite fracture mechanics
title Evaluation of the incremental ERR in interface cracks with frictional contact and its application in the coupled criterion of finite fracture mechanics
spellingShingle Evaluation of the incremental ERR in interface cracks with frictional contact and its application in the coupled criterion of finite fracture mechanics
Graciani Díaz, Enrique
Interface crack
Comninou contact model
Coulomb friction law
Weak singularity
Energy release rate
Irwin integral
VCCT
title_short Evaluation of the incremental ERR in interface cracks with frictional contact and its application in the coupled criterion of finite fracture mechanics
title_full Evaluation of the incremental ERR in interface cracks with frictional contact and its application in the coupled criterion of finite fracture mechanics
title_fullStr Evaluation of the incremental ERR in interface cracks with frictional contact and its application in the coupled criterion of finite fracture mechanics
title_full_unstemmed Evaluation of the incremental ERR in interface cracks with frictional contact and its application in the coupled criterion of finite fracture mechanics
title_sort Evaluation of the incremental ERR in interface cracks with frictional contact and its application in the coupled criterion of finite fracture mechanics
dc.creator.none.fl_str_mv Graciani Díaz, Enrique
Mantic, Vladislav
author Graciani Díaz, Enrique
author_facet Graciani Díaz, Enrique
Mantic, Vladislav
author_role author
author2 Mantic, Vladislav
author2_role author
dc.contributor.none.fl_str_mv Mecánica de Medios Continuos y Teoría de Estructuras
Ministerio de Ciencia, Innovación y Universidades (MICIU). España
Agencia Estatal de Investigación. España
European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)
dc.subject.none.fl_str_mv Interface crack
Comninou contact model
Coulomb friction law
Weak singularity
Energy release rate
Irwin integral
VCCT
topic Interface crack
Comninou contact model
Coulomb friction law
Weak singularity
Energy release rate
Irwin integral
VCCT
description This article is licensed under the Creative Commons Attribution 4.0 International License. http://creativecommons.org/licenses/by/4.0/
publishDate 2025
dc.date.none.fl_str_mv 2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/180020
https://doi.org/10.5802/crmeca.319
url https://hdl.handle.net/11441/180020
https://doi.org/10.5802/crmeca.319
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Comptes Rendus. Mécanique, 353, 1365-1383.
PID2021123325OB-I00
PID2021-126279OB-I00
https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.319/
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 Académie des Sciences
publisher.none.fl_str_mv Académie des Sciences
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 15.81155

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