An unforeseen phenomenon in post-buckling enforced at deviated wavelength: a dive into model complixity and implications for future buckling analysis

An unforeseen phenomenon in post-buckling enforced at deviated wavelength: a dive into model complixity and implications for future buckling analysis | 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 Short Report An unforeseen phenomenon in post-buckling enforced at deviated wavelength: a dive into model complixity and implications for future buckling analysis Qi Yao This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7359803/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 This letter investigates an unforeseen phenomenon in post-buckling laminate models when the enforced buckling wavelength deviates from the theoretical value. Through dispersion analysis, we identify the emergence of zero frequencies at post-buckling stretches, which serve as practical diagnostics for detecting significant mismatches in wavelength. Our results demonstrate that these zero modes shift based on the ratio between enforced and theoretical wavelength and disappear at the Brillouin zone edges when the correct wavelength is applied. We further discuss the sensitivity of post-buckling behavior to the accuracy of imposed wavelengths and discuss the association of zero frequencies with model complexity embedded in these nonlinear models simulating the ideal buckling process. These findings provide new insights and considerations for future studies of buckling behavior in soft composites. Soft materials Laminates Post-buckling analysis Dispersion relations Acoustic waves Full Text Additional Declarations The authors declare no competing interests. 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. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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-7359803","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Short Report","associatedPublications":[],"authors":[{"id":499656302,"identity":"15432823-732c-4ac5-9885-fcd01b0b179d","order_by":0,"name":"Qi Yao","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAv0lEQVRIiWNgGAWjYJACxg88NgxsYCYbkVqYJWTSSNTCwGNzGMoiRgvfjeSHDyRyzif28R9+wPCh7DBhLZI30owNCs7cTmyTSDNgnHGOCC0GNxLMJCR7bue2SfAwMPO2EaUl/ZsE779zuW38ZxiY/xKnJcdMgofnQG4bQw4DMyMxWiTPvCk2luBJrgf55WDPuXTCWviOp298+IHHzli+//DDBz/KrAlrYbiQgGAfIEI9EJwnUt0oGAWjYBSMYAAAbQI62C4DaywAAAAASUVORK5CYII=","orcid":"","institution":"University of Wisconsin– Madison","correspondingAuthor":true,"prefix":"","firstName":"Qi","middleName":"","lastName":"Yao","suffix":""}],"badges":[],"createdAt":"2025-08-13 01:42:23","currentVersionCode":1,"declarations":{"humanSubjects":false,"vertebrateSubjects":false,"conflictsOfInterestStatement":false,"humanSubjectEthicalGuidelines":false,"humanSubjectConsent":false,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":false},"doi":"10.21203/rs.3.rs-7359803/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7359803/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":89049884,"identity":"6bf54a02-214b-43e8-9341-c780d1a5fba7","added_by":"auto","created_at":"2025-08-14 07:27:54","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":3747531,"visible":true,"origin":"","legend":"","description":"","filename":"MOSMD2500003.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7359803/v1_covered_cd27279c-bf56-4835-9dbe-20966e9991f0.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"\u003cp\u003eAn unforeseen phenomenon in post-buckling enforced at deviated wavelength: a dive into model complixity and implications for future buckling analysis\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"University of Wisconsin–Madison","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":"Soft materials, Laminates, Post-buckling analysis, Dispersion relations, Acoustic waves","lastPublishedDoi":"10.21203/rs.3.rs-7359803/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7359803/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis letter investigates an unforeseen phenomenon in post-buckling laminate models when the enforced buckling wavelength deviates from the theoretical value. 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