Analytical and numerical of contact edges under mixed-mode (Peel and Shear)

Analytical and numerical of contact edges under mixed-mode (Peel and Shear) | 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 Analytical and numerical of contact edges under mixed-mode (Peel and Shear) Hamad Alshammari, Daniel Hess This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8244599/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract In most analyses of edge stresses, in-plane shear is prioritized, yet peel stresses at bonded edges frequently determine failure in structural adhesive joints. This work explicitly incorporates out-of-plane (Mode I) peel in mixed-mode loading of adhesive contacts into an Adhesive contact model based on asymptotic wedge-corner analysis. By connecting Mode I and Mode II contributions through the wedge eigenvalues and geometry, we provide an asymptotic description for the interfacial peel traction in a two-dimensional wedge and relate the resulting intensity to the contact area and applied loads. Finite-element simulations (COMSOL Multiphysics) of single-lap-like joints subjected to combined peel and shear with a bending moment are used to evaluate the analytical predictions. The local edge geometry is systematically varied sharp corner (2\alpha = 270), intermediate (2\alpha = 202.5), smoothed (2\alpha = 180), and a manufacturable U-notch. Reducing the internal angle or adding a U-notch suppresses edge singularities and lowers peak peel, shear, and von Mises stresses in all cases, according to both analysis and simulation. The 180 transition produces the largest reductions, and the U-notch provides a useful compromise between stress reduction and manufacturability. The mixed-mode Adhesive contact model provides a concise, geometry-based view of adhesive-joint edge shaping. We discuss implications for durability and fatigue and suggest directions for experimental confirmation. Adhesive joints Peel stress Mixed-mode loading Edge geometry Asymptotic analysis Finite element analysis Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted 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-8244599","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":558488251,"identity":"916766e7-a553-4efa-a9e2-0247e2c52057","order_by":0,"name":"Hamad Alshammari","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAnUlEQVRIiWNgGAWjYBACAwb+5x8+MDDwg9lEauFhY5zBwCDZQJIWZh6StJiznz322LatToKBvXkDcVose/LSjXPbDksw8BwrINJhBxIMpHPbDtQxSOQQ65fzDwykLUEOk39DrJYbOWbSjG3MEgwSPERreZZs2HPusAQbTxqxfjmffPDBj7I6CX72w0SGGBywkah+FIyCUTAKRgE+AACZkihStcFMIQAAAABJRU5ErkJggg==","orcid":"","institution":"University of South Florida","correspondingAuthor":true,"prefix":"","firstName":"Hamad","middleName":"","lastName":"Alshammari","suffix":""},{"id":558488252,"identity":"3f5d248b-4ffd-41d0-8ade-5129ae65ed6a","order_by":1,"name":"Daniel Hess","email":"","orcid":"","institution":"University of South Florida","correspondingAuthor":false,"prefix":"","firstName":"Daniel","middleName":"","lastName":"Hess","suffix":""}],"badges":[],"createdAt":"2025-11-30 22:08:20","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8244599/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8244599/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":98205976,"identity":"fea432cc-aca0-46a5-9e39-c2125aaf0d0a","added_by":"auto","created_at":"2025-12-15 08:40:18","extension":"json","order_by":0,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":4374,"visible":true,"origin":"","legend":"","description":"","filename":"d6a5abb07072411cab1b704bcc0fdaff.json","url":"https://assets-eu.researchsquare.com/files/rs-8244599/v1/43b94765a77714eec7dbc5f8.json"},{"id":101770899,"identity":"b1428b74-4a5c-4669-8e26-00621ccc4124","added_by":"auto","created_at":"2026-02-03 13:10:57","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1040509,"visible":true,"origin":"","legend":"","description":"","filename":"snarticletemplate2.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8244599/v1_covered_336b59d6-8462-4463-993e-f2aa89a32171.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Analytical and numerical of contact edges under mixed-mode (Peel and Shear)","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Adhesive joints, Peel stress, Mixed-mode loading, Edge geometry, Asymptotic analysis, Finite element analysis","lastPublishedDoi":"10.21203/rs.3.rs-8244599/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8244599/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In most analyses of edge stresses, in-plane shear is prioritized, yet peel stresses at bonded edges frequently determine failure in structural adhesive joints. This work explicitly incorporates out-of-plane (Mode I) peel in mixed-mode loading of adhesive contacts into an Adhesive contact model based on asymptotic wedge-corner analysis. By connecting Mode I and Mode II contributions through the wedge eigenvalues and geometry, we provide an asymptotic description for the interfacial peel traction in a two-dimensional wedge and relate the resulting intensity to the contact area and applied loads. Finite-element simulations (COMSOL Multiphysics) of single-lap-like joints subjected to combined peel and shear with a bending moment are used to evaluate the analytical predictions. The local edge geometry is systematically varied sharp corner (2\\alpha = 270), intermediate (2\\alpha = 202.5), smoothed (2\\alpha = 180), and a manufacturable U-notch. Reducing the internal angle or adding a U-notch suppresses edge singularities and lowers peak peel, shear, and von Mises stresses in all cases, according to both analysis and simulation. The 180 transition produces the largest reductions, and the U-notch provides a useful compromise between stress reduction and manufacturability. The mixed-mode Adhesive contact model provides a concise, geometry-based view of adhesive-joint edge shaping. 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