Characterizing the Influence of Q-Stress on Mixed-Mode I/II Fracture in Elastic-Plastic Materials

Characterizing the Influence of Q-Stress on Mixed-Mode I/II Fracture in Elastic-Plastic Materials | 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 Characterizing the Influence of Q-Stress on Mixed-Mode I/II Fracture in Elastic-Plastic Materials Abuzar Es’haghi Oskui, Ata Khabaz-Aghdam, Jinrui Cao, Hosein Hasannezhad, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5721665/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 17 You are reading this latest preprint version Abstract A two-parameter fracture framework is used to investigate the fracture behavior of AM60 magnesium alloy under different loading conditions. In order to perform fracture tests, a modified Arcan apparatus capable of applying pure tension, pure shear, and mixed tension-shear loading conditions was used. Various crack-tip constraints were obtained by altering the loading angle from mode-I to mode-II and crack length ratio between 0.3 and 0.7. The experimental results indicate that the material exhibits greater susceptibility to crack propagation under tension mode than shear mode. J C in pure shear demonstrates a decrease of 40.84% relative to J C in pure tension at 0.5 crack length ratio. Finite element analysis was employed to determine the crack-tip constraint parameter (Q) under various loading and geometric conditions, revealing a pronounced dependence of crack-tip constraint on them, with the latter's effect increasing at higher loading angles. These dependencies were approximated as linear relationships. To reduce the need for extensive experimental testing, J-Q curves were developed for different constraint levels, facilitating the estimation of critical J C values directly from the crack-tip constraint. The proposed methodology demonstrated deviations between predicted and experimental J C values ranging from 0.15–14.43%. Additionally, the J-R resistance curve was refined to incorporate Q-dependency, further minimizing experimental efforts. The findings underscore the robustness and practicality of this approach in accurately predicting fracture parameters while significantly reducing reliance on experimental fracture tests. Q-stress Crack-tip constraint Arcan device Lightweight alloy Elastic-plastic fracture mechanics Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 18 Feb, 2025 Reviews received at journal 31 Jan, 2025 Reviewers agreed at journal 29 Jan, 2025 Reviews received at journal 28 Jan, 2025 Reviewers agreed at journal 26 Jan, 2025 Reviews received at journal 24 Jan, 2025 Reviews received at journal 24 Jan, 2025 Reviewers agreed at journal 24 Jan, 2025 Reviewers agreed at journal 23 Jan, 2025 Reviewers agreed at journal 23 Jan, 2025 Reviews received at journal 23 Jan, 2025 Reviewers agreed at journal 22 Jan, 2025 Reviewers agreed at journal 17 Jan, 2025 Reviewers invited by journal 17 Jan, 2025 Editor assigned by journal 12 Jan, 2025 Submission checks completed at journal 06 Jan, 2025 First submitted to journal 27 Dec, 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. 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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-5721665","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":398307121,"identity":"408c6882-e942-486c-b8fa-386e7ea4e60f","order_by":0,"name":"Abuzar Es’haghi Oskui","email":"","orcid":"","institution":"Southern University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Abuzar","middleName":"Es’haghi","lastName":"Oskui","suffix":""},{"id":398307122,"identity":"a041f744-672d-480b-a7ed-31192776ec8a","order_by":1,"name":"Ata Khabaz-Aghdam","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA80lEQVRIiWNgGAWjYJACxsYGhgQGBuYDDAxsIH4CAfVscC1siQ1wLQeI08JjSJwW/vnNDxhn7rDL4+8/8/3Bh7LDDPzsOQbMH/fg1iJxjM2AceOZ5GKJA2c3Ns44d5hBsueNAcOBZ3isOcZgwPiwjTmx4WDvxmbetsMMBjdygFrwuEz+GPsHoJb6xPmHeR42/wVqsSekxeAYD9BhbYcTNxzjYWxmBNkiQUCL4bGcgoMz244XG55hM5zZcy6dR+LMs4IDZ/BokTt8fOPD3rbqPLnzhx98+FFmLcffnrzxQQUeLSCAIs2DITIKRsEoGAWjgHQAAPUxXb2FpOewAAAAAElFTkSuQmCC","orcid":"","institution":"TED University","correspondingAuthor":true,"prefix":"","firstName":"Ata","middleName":"","lastName":"Khabaz-Aghdam","suffix":""},{"id":398307123,"identity":"c25a7f7c-cf80-4d0d-8830-9f4bb0a53294","order_by":2,"name":"Jinrui Cao","email":"","orcid":"","institution":"Southern University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Jinrui","middleName":"","lastName":"Cao","suffix":""},{"id":398307124,"identity":"8114234b-2330-407e-98ac-2936a7d5a9b0","order_by":3,"name":"Hosein Hasannezhad","email":"","orcid":"","institution":"Sahand University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Hosein","middleName":"","lastName":"Hasannezhad","suffix":""},{"id":398307127,"identity":"6092d172-ad7b-4efc-8393-bb39cc7b786f","order_by":4,"name":"Sajjad Astaraki","email":"","orcid":"","institution":"Shahrekord University","correspondingAuthor":false,"prefix":"","firstName":"Sajjad","middleName":"","lastName":"Astaraki","suffix":""}],"badges":[],"createdAt":"2024-12-27 12:53:15","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5721665/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5721665/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":73240589,"identity":"c7c3e27d-94c2-42d2-913d-468ddce49f36","added_by":"auto","created_at":"2025-01-08 05:58:22","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1416391,"visible":true,"origin":"","legend":"","description":"","filename":"AbuzarDiscoverMechanicalEngineering.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5721665/v1_covered_881e3350-fb7c-422a-9395-5d4181034234.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Characterizing the Influence of Q-Stress on Mixed-Mode I/II Fracture in Elastic-Plastic Materials","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":"discover-mechanical-engineering","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"discmecheng","sideBox":"Learn more about [Discover Mechanical Engineering](https://www.springer.com/journal/44245)","snPcode":"44245","submissionUrl":"https://submission.nature.com/new-submission/44245/3","title":"Discover Mechanical Engineering","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Discover Series","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"Q-stress, Crack-tip constraint, Arcan device, Lightweight alloy, Elastic-plastic fracture mechanics","lastPublishedDoi":"10.21203/rs.3.rs-5721665/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5721665/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eA two-parameter fracture framework is used to investigate the fracture behavior of AM60 magnesium alloy under different loading conditions. In order to perform fracture tests, a modified Arcan apparatus capable of applying pure tension, pure shear, and mixed tension-shear loading conditions was used. Various crack-tip constraints were obtained by altering the loading angle from mode-I to mode-II and crack length ratio between 0.3 and 0.7. The experimental results indicate that the material exhibits greater susceptibility to crack propagation under tension mode than shear mode. J\u003csub\u003eC\u003c/sub\u003e in pure shear demonstrates a decrease of 40.84% relative to J\u003csub\u003eC\u003c/sub\u003e in pure tension at 0.5 crack length ratio. Finite element analysis was employed to determine the crack-tip constraint parameter (Q) under various loading and geometric conditions, revealing a pronounced dependence of crack-tip constraint on them, with the latter's effect increasing at higher loading angles. These dependencies were approximated as linear relationships. To reduce the need for extensive experimental testing, J-Q curves were developed for different constraint levels, facilitating the estimation of critical J\u003csub\u003eC\u003c/sub\u003e values directly from the crack-tip constraint. The proposed methodology demonstrated deviations between predicted and experimental J\u003csub\u003eC\u003c/sub\u003e values ranging from 0.15\u0026ndash;14.43%. Additionally, the J-R resistance curve was refined to incorporate Q-dependency, further minimizing experimental efforts. The findings underscore the robustness and practicality of this approach in accurately predicting fracture parameters while significantly reducing reliance on experimental fracture tests.\u003c/p\u003e","manuscriptTitle":"Characterizing the Influence of Q-Stress on Mixed-Mode I/II Fracture in Elastic-Plastic Materials","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-01-08 05:26:14","doi":"10.21203/rs.3.rs-5721665/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2025-02-18T16:27:53+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-01-31T07:40:42+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"191107437511395878992407278270562606051","date":"2025-01-29T08:19:55+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-01-29T03:23:47+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"301795694768468086650247614075512240289","date":"2025-01-26T21:19:45+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-01-24T15:59:04+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-01-24T12:49:31+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"275563008253830724717020907364144908102","date":"2025-01-24T05:28:46+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"12365075430369809665048020473265836018","date":"2025-01-24T01:32:26+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"149158914386349976731774927951311464174","date":"2025-01-24T01:15:28+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-01-23T11:22:19+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"217392217072448163782418277144266688468","date":"2025-01-22T08:28:52+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"106071688841753314243494487642597981428","date":"2025-01-17T18:31:00+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-01-17T06:04:26+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-01-13T01:43:57+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-01-06T13:10:47+00:00","index":"","fulltext":""},{"type":"submitted","content":"Discover Mechanical Engineering","date":"2024-12-27T12:47:27+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"discover-mechanical-engineering","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"discmecheng","sideBox":"Learn more about [Discover Mechanical Engineering](https://www.springer.com/journal/44245)","snPcode":"44245","submissionUrl":"https://submission.nature.com/new-submission/44245/3","title":"Discover Mechanical Engineering","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Discover Series","inReviewEnabled":true,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"5d321b6d-68ff-45c9-956c-5fd7bf054eac","owner":[],"postedDate":"January 8th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2025-05-16T09:23:35+00:00","versionOfRecord":[],"versionCreatedAt":"2025-01-08 05:26:14","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-5721665","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-5721665","identity":"rs-5721665","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}