A co-rotational finite element with embedded plastic discontinuities consistently accounting for distributed loads

A co-rotational finite element with embedded plastic discontinuities consistently accounting for distributed loads | 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 A co-rotational finite element with embedded plastic discontinuities consistently accounting for distributed loads Sergio Cordeiro, Rafael Isidoro Tasinaffo, Fra Correia Monteiro This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3928335/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 18 Feb, 2025 Read the published version in Journal of the Brazilian Society of Mechanical Sciences and Engineering → Version 1 posted 4 You are reading this latest preprint version Abstract A co-rotational model with distributed loads is employed to analyze planar frames considering plasticity effects lumped by means of embedded discontinuities. The model consistently accounts for the influence of distributed loads into the tangent stiffness matrix, which appears in the co-rotational description of motion. The element is locally formulated as the traditional linear Euler-Bernoulli element. The plastic embedded discontinuities are introduced into the generalized strains fields by Dirac deltas centered at the element ends, naturally resulting in the lumped plasticity local element formulation. The global nonlinear equilibrium equations are solved by either force- or displacement-control Newton based procedure, depending on the observed snaping phenomena. On the other hand, the plastic constrained nonlinear system of equations related to the local problems is solved with a Newton-Raphson approach, running through all feasible plastic possibilities. Both the stiffness and local problem tangent matrix are explicitly presented. Four examples are presented to demonstrate the robustness of the formulation to deal with elastoplastic nonlinear analysis of frames. co-rotational finite element plastic embedded discontinuities consistent distributed loads nonlinear analysis Full Text Cite Share Download PDF Status: Published Journal Publication published 18 Feb, 2025 Read the published version in Journal of the Brazilian Society of Mechanical Sciences and Engineering → Version 1 posted Reviewers agreed at journal 18 Apr, 2024 Reviewers invited by journal 15 Apr, 2024 Editor assigned by journal 09 Feb, 2024 First submitted to journal 03 Feb, 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-3928335","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":291334031,"identity":"ad9d423c-f60b-4bd8-919c-bf2b8667e51c","order_by":0,"name":"Sergio Cordeiro","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAq0lEQVRIiWNgGAWjYJACCQYDBgZ+ZiCLsYEULZLNzCRpAQKDA8Rq4W/vfXjjQ8E9OePj/Ac/MO64R4QNZ44bW84wKDY2O8zMLMF4ppiwFgOJNDZpHoOExG2HmRkkGNsSiNTyB6hlczMz8w/itTAAtWxgZmYjzhaJM8eYLXsMEowlDjObWSSeIUILf3sb440ffxLk+PsPPr7xcQcRWlAByRpGwSgYBaNgFGAHALUtMMbQXLx5AAAAAElFTkSuQmCC","orcid":"","institution":"Instituto Tecnologico de Aeronautica","correspondingAuthor":true,"prefix":"","firstName":"Sergio","middleName":"","lastName":"Cordeiro","suffix":""},{"id":291334032,"identity":"ba7f7261-26ca-4b77-b6a8-435f1165ce31","order_by":1,"name":"Rafael Isidoro Tasinaffo","email":"","orcid":"","institution":"Instituto Tecnologico de Aeronautica","correspondingAuthor":false,"prefix":"","firstName":"Rafael","middleName":"Isidoro","lastName":"Tasinaffo","suffix":""},{"id":291334033,"identity":"1c1e028d-fe0c-4aea-9d19-72e38ba488e0","order_by":2,"name":"Fra Correia Monteiro","email":"","orcid":"","institution":"Instituto Tecnologico de Aeronautica","correspondingAuthor":false,"prefix":"","firstName":"Fra","middleName":"Correia","lastName":"Monteiro","suffix":""}],"badges":[],"createdAt":"2024-02-04 17:39:47","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3928335/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3928335/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s40430-024-05339-2","type":"published","date":"2025-02-18T15:57:28+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":77053882,"identity":"af8f3671-16d9-48bc-86a6-0a898262edca","added_by":"auto","created_at":"2025-02-24 16:30:38","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":927035,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3928335/v1_covered_296654ed-dbcf-4845-98de-6ea9d4afe679.pdf"}],"financialInterests":"","formattedTitle":"A co-rotational finite element with embedded plastic discontinuities consistently accounting for distributed loads","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":true,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"journal-of-the-brazilian-society-of-mechanical-sciences-and-engineering","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"bmse","sideBox":"Learn more about [Journal of the Brazilian Society of Mechanical Sciences and Engineering](http://link.springer.com/journal/40430)","snPcode":"40430","submissionUrl":"https://www.editorialmanager.com/bmse/default2.aspx","title":"Journal of the Brazilian Society of Mechanical Sciences and Engineering","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"co-rotational finite element, plastic embedded discontinuities, consistent distributed loads, nonlinear analysis","lastPublishedDoi":"10.21203/rs.3.rs-3928335/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3928335/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eA co-rotational model with distributed loads is employed to analyze planar frames considering plasticity effects lumped by means of embedded discontinuities. 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