Review of the matched asymptotic approach of the coupled criterion
Matched Asymptotics is a powerful mathematical technique with broad applicability in various engineering fields. One of its key uses is in Fracture Mechanics, where it provides accurate approximations in the vicinity of the crack tip with low computational complexity. This method can be seamlessly i...
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| Language: | English |
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Académie des sciences
2025-02-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.285/ |
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| author | Jiménez-Alfaro, Sara García, Israel García Doitrand, Aurélien |
| author_facet | Jiménez-Alfaro, Sara García, Israel García Doitrand, Aurélien |
| author_sort | Jiménez-Alfaro, Sara |
| collection | DOAJ |
| description | Matched Asymptotics is a powerful mathematical technique with broad applicability in various engineering fields. One of its key uses is in Fracture Mechanics, where it provides accurate approximations in the vicinity of the crack tip with low computational complexity. This method can be seamlessly integrated with the Coupled Criterion (CC), which enables the prediction of crack nucleation and propagation in brittle materials. Hence, this paper deeply explains how the MA technique can be applied together with the CC in the context of Fracture Mechanics, providing a detailed literature review of the advances made in the last decade. |
| format | Article |
| id | doaj-art-2853604806d0449e910ca3f44749537a |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-2853604806d0449e910ca3f44749537a2025-02-07T13:49:01ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342025-02-01353G133935710.5802/crmeca.28510.5802/crmeca.285Review of the matched asymptotic approach of the coupled criterionJiménez-Alfaro, Sara0https://orcid.org/0000-0001-7657-2388García, Israel García1https://orcid.org/0000-0002-3894-5304Doitrand, Aurélien2https://orcid.org/0000-0003-1000-3507Department of Civil and Environmental Engineering, Imperial College London, Exhibition Road, London, SW7 2AZ, UK; Department of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, UKDepartamento de Mecánica de Medios Continuos y Teoría de Estructuras, Escuela Técnica Superior de Ingeniería, Escuela Politécnica Superior, Universidad de Sevilla, Camino de los Descubrimienos s/n, 41092 Sevilla, SpainUniversité Lyon, INSA-Lyon, UCBL, CNRS, MATEIS, UMR5510, F-69621 Villeurbanne, FranceMatched Asymptotics is a powerful mathematical technique with broad applicability in various engineering fields. One of its key uses is in Fracture Mechanics, where it provides accurate approximations in the vicinity of the crack tip with low computational complexity. This method can be seamlessly integrated with the Coupled Criterion (CC), which enables the prediction of crack nucleation and propagation in brittle materials. Hence, this paper deeply explains how the MA technique can be applied together with the CC in the context of Fracture Mechanics, providing a detailed literature review of the advances made in the last decade.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.285/Matched asymptotic expansionCoupled criterionFracture mechanics |
| spellingShingle | Jiménez-Alfaro, Sara García, Israel García Doitrand, Aurélien Review of the matched asymptotic approach of the coupled criterion Comptes Rendus. Mécanique Matched asymptotic expansion Coupled criterion Fracture mechanics |
| title | Review of the matched asymptotic approach of the coupled criterion |
| title_full | Review of the matched asymptotic approach of the coupled criterion |
| title_fullStr | Review of the matched asymptotic approach of the coupled criterion |
| title_full_unstemmed | Review of the matched asymptotic approach of the coupled criterion |
| title_short | Review of the matched asymptotic approach of the coupled criterion |
| title_sort | review of the matched asymptotic approach of the coupled criterion |
| topic | Matched asymptotic expansion Coupled criterion Fracture mechanics |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.285/ |
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