V-notch crack initiation by the coupled criterion considering plasticity

V-notch crack initiation by the coupled criterion considering plasticity | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article V-notch crack initiation by the coupled criterion considering plasticity Aurélien Doitrand, Dominique Leguillon This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4464579/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 06 Jan, 2025 Read the published version in International Journal of Fracture → Version 1 posted 11 You are reading this latest preprint version Abstract An extension of the coupled criterion (CC) of finite fracture mechanics is proposed in order to assess brittle crack initiation considering plasticity. The main change compared to the classical linear elastic approach consists in considering the plastic strain energy variation due to crack initiation. The proposed approach enables assessing quasi-brittle failure at singularities or stress concentrators in materials exhibiting plastic deformation. It is illustrated on V-notch steel specimens subjected to bending. If plastic deformation is disregarded, the CC underestimates the failure force compared to those measured experimentally. Considering plasticity yields a better representation of failure force variation as a function of the V-notch angle. Coupled criterion crack initiation plasticity Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 06 Jan, 2025 Read the published version in International Journal of Fracture → Version 1 posted Editorial decision: Revision requested 01 Sep, 2024 Reviews received at journal 14 Aug, 2024 Reviews received at journal 03 Aug, 2024 Reviewers agreed at journal 01 Jul, 2024 Reviewers agreed at journal 30 Jun, 2024 Reviews received at journal 08 Jun, 2024 Reviewers agreed at journal 27 May, 2024 Reviewers invited by journal 27 May, 2024 Editor assigned by journal 23 May, 2024 Submission checks completed at journal 23 May, 2024 First submitted to journal 23 May, 2024 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4464579","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":309563531,"identity":"cf90b920-0c6f-4fb8-b9a2-7c7509a2ad5b","order_by":0,"name":"Aurélien Doitrand","email":"data:image/png;base64,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","orcid":"","institution":"Matériaux Ingénierie et Science","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Aurélien","middleName":"","lastName":"Doitrand","suffix":""},{"id":309563532,"identity":"cd7cdf2a-5123-4771-b253-41b1712133c1","order_by":1,"name":"Dominique Leguillon","email":"","orcid":"","institution":"Institut Jean Le Rond d'Alembert","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Dominique","middleName":"","lastName":"Leguillon","suffix":""}],"badges":[],"createdAt":"2024-05-23 06:15:52","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4464579/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4464579/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s10704-024-00822-2","type":"published","date":"2025-01-06T15:57:03+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":73693811,"identity":"68f46e51-e584-4df7-a970-bc160280f155","added_by":"auto","created_at":"2025-01-13 16:07:22","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":295904,"visible":true,"origin":"","legend":"","description":"","filename":"SoumissionIJF.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4464579/v1_covered_9ac75dc2-8944-45ea-a95c-42214f9f6a73.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"V-notch crack initiation by the coupled criterion considering plasticity","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"international-journal-of-fracture","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"frac","sideBox":"Learn more about [International Journal of Fracture](http://link.springer.com/journal/10704)","snPcode":"10704","submissionUrl":"https://submission.nature.com/new-submission/10704/3","title":"International Journal of Fracture","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Coupled criterion, crack initiation, plasticity","lastPublishedDoi":"10.21203/rs.3.rs-4464579/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4464579/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"An extension of the coupled criterion (CC) of finite fracture mechanics is proposed in order to assess brittle crack initiation considering plasticity. 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