Size-Dependent Bending and Buckling Analysis of Piezoelectric Semiconductor Nanobeam Based on Two-Phase Local/Nonlocal Integral Models

Size-Dependent Bending and Buckling Analysis of Piezoelectric Semiconductor Nanobeam Based on Two-Phase Local/Nonlocal Integral Models | 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 Size-Dependent Bending and Buckling Analysis of Piezoelectric Semiconductor Nanobeam Based on Two-Phase Local/Nonlocal Integral Models Huidiao Song, Hai Qing, Cheng Li This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7688250/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 14 You are reading this latest preprint version Abstract In this paper, the size-dependent bending and buckling behaviors of a piezoelectric semiconductor nanobeam are investigated using both strain-driven and stress-driven two-phase local/nonlocal integral models. The governing equations are derived based on a linearized one-dimensional phenomenological theory of piezoelectric semiconductors. The two-phase local/nonlocal integral formulation is implemented, and the integral equations are transformed into differential forms with corresponding constitutive constraints. Several dimensionless variables are introduced to simplify the formulations. The general differential quadrature method is employed to obtain numerical solutions. Based on the results, the influence of nonlocal parameters on the bending deflection, electric potential, and buckling loads of the piezoelectric semiconductor nanobeam is examined under various boundary and loading conditions. Critical comparisons between strain-driven and stress-driven modeling paradigms are highlighted to elucidate their distinct predictive capabilities in nanoscale electromechanical coupling phenomena. size-dependent piezoelectric semiconductor two-phase local/nonlocal integral models general differential quadrature method Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 20 Nov, 2025 Reviews received at journal 18 Nov, 2025 Reviews received at journal 17 Nov, 2025 Reviews received at journal 15 Nov, 2025 Reviews received at journal 15 Nov, 2025 Reviewers agreed at journal 30 Oct, 2025 Reviewers agreed at journal 29 Oct, 2025 Reviewers agreed at journal 28 Oct, 2025 Reviewers agreed at journal 28 Oct, 2025 Reviewers agreed at journal 27 Oct, 2025 Reviewers invited by journal 27 Oct, 2025 Editor assigned by journal 23 Sep, 2025 Submission checks completed at journal 23 Sep, 2025 First submitted to journal 22 Sep, 2025 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-7688250","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":538770450,"identity":"127c1264-34d5-44cb-bead-19b7a983b75e","order_by":0,"name":"Huidiao Song","email":"","orcid":"","institution":"Nanjing University of Aeronautics and Astronautics","correspondingAuthor":false,"prefix":"","firstName":"Huidiao","middleName":"","lastName":"Song","suffix":""},{"id":538770451,"identity":"6eed0f3b-e48e-464b-b676-ca0538a065f7","order_by":1,"name":"Hai 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The governing equations are derived based on a linearized one-dimensional phenomenological theory of piezoelectric semiconductors. The two-phase local/nonlocal integral formulation is implemented, and the integral equations are transformed into differential forms with corresponding constitutive constraints. Several dimensionless variables are introduced to simplify the formulations. The general differential quadrature method is employed to obtain numerical solutions. Based on the results, the influence of nonlocal parameters on the bending deflection, electric potential, and buckling loads of the piezoelectric semiconductor nanobeam is examined under various boundary and loading conditions. Critical comparisons between strain-driven and stress-driven modeling paradigms are highlighted to elucidate their distinct predictive capabilities in nanoscale electromechanical coupling phenomena.\u003c/p\u003e","manuscriptTitle":"Size-Dependent Bending and Buckling Analysis of Piezoelectric Semiconductor Nanobeam Based on Two-Phase Local/Nonlocal Integral Models","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-11-06 19:14:59","doi":"10.21203/rs.3.rs-7688250/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2025-11-20T20:47:06+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-11-18T11:55:37+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-11-17T09:17:45+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-11-15T09:51:37+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-11-15T08:00:02+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"172633551195093913422164682622360364613","date":"2025-10-30T07:23:45+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"331783639557140692879894442834001746077","date":"2025-10-29T18:35:28+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"174972378534017026815632572245401444395","date":"2025-10-28T19:13:04+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"35489351537865714960348413178122000133","date":"2025-10-28T05:00:05+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"59690535928859105217075884947463183186","date":"2025-10-27T23:21:38+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-10-27T22:57:41+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-09-23T08:26:37+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-09-23T08:25:20+00:00","index":"","fulltext":""},{"type":"submitted","content":"International Journal of Mechanics and Materials in Design","date":"2025-09-22T23:42:41+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"international-journal-of-mechanics-and-materials-in-design","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"","sideBox":"Learn more about [International Journal of Mechanics and Materials in Design](https://link.springer.com/journal/10999)","snPcode":"10999","submissionUrl":"https://submission.springernature.com/new-submission/10999/3","title":"International Journal of Mechanics and Materials in Design","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"1211f2ad-903d-4149-9340-fc4a565d048c","owner":[],"postedDate":"November 6th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2026-01-14T01:54:06+00:00","versionOfRecord":[],"versionCreatedAt":"2025-11-06 19:14:59","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7688250","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7688250","identity":"rs-7688250","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}