Phase field fracture modelling of flexible piezoelectric materials considering different electrical boundary conditions

Phase field fracture modelling of flexible piezoelectric materials considering different electrical boundary conditions | 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 Phase field fracture modelling of flexible piezoelectric materials considering different electrical boundary conditions Shihao Lv, Bingyang Li, Yan Shi, Cunfa Gao This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4246230/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 Flexible piezoelectric materials have gained considerable attention due to their remarkable properties, including electromechanical coupling and high stretchability. These materials have found extensive applications in the field of flexible electronic devices. However, the issue of fracture in flexible piezoelectrics cannot be ignored. In general, these flexible/stretchable materials experience fractures when subjected to significant deformation. While previous studies have primarily focused on fracture problems of brittle piezoelectric materials with low failure strain. There is a need to investigate the fracture behavior of flexible piezoelectrics with finite deformation. Within the framework of the phase field method, this work addresses the fracture of flexible piezoelectrics utilizing a nonlinear electromechanical material model. To solve the coupled governing equations, a residual controlled staggered algorithm (RCSA) is employed in the user element subroutine of commercial software ABAQUS. By utilizing the phase field method and a nonlinear electromechanical material model, this study provides insights into the fracture mechanisms and the effects of various factors on the fracture behavior of these materials. Specifically, the effects of external electric fields, displacements, and various electrical boundary conditions across the crack are investigated. This research contributes to a better understanding of flexible piezoelectric materials and can aid in the development of strategies to enhance their fracture resistance and durability in practical applications. Flexible piezoelectric Finite deformation Electromechanical Fracture 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. 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-4246230","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":290515685,"identity":"1dabd6a8-e00e-4204-9442-74f8a3fbbddc","order_by":0,"name":"Shihao Lv","email":"","orcid":"","institution":"Nanjing University of Aeronautics \u0026 Astronautics","correspondingAuthor":false,"prefix":"","firstName":"Shihao","middleName":"","lastName":"Lv","suffix":""},{"id":290515687,"identity":"d69a668a-a8d0-4343-b170-1794a8181734","order_by":1,"name":"Bingyang Li","email":"","orcid":"","institution":"China Academy of Aerospace Science and Innovation","correspondingAuthor":false,"prefix":"","firstName":"Bingyang","middleName":"","lastName":"Li","suffix":""},{"id":290515688,"identity":"d3a2f01c-557b-4964-83c1-d6b646046d5b","order_by":2,"name":"Yan Shi","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAuklEQVRIiWNgGAWjYFACHoYDH6BMCaK1HJxBshZmHpK0GJw/e/Cw7Y7D8vwNzAdv8zDY5RHWciMv4XDumcOGMw6wJVvzMCQXE6GFx+BwbtthxoYDPGbSwKBIbCDssDMGhy3bDtvPP8D/jUgtB3IMDjO2HU7ccICHjTgtkjdyDA72tqUnbzzMZmw5xyCZsBa+82eMP/xss7add7z54Y03FXaEtSgcgLGYwe4kpB4I5AkaOgpGwSgYBaMAAI77PufIt+zcAAAAAElFTkSuQmCC","orcid":"","institution":"Nanjing University of Aeronautics \u0026 Astronautics","correspondingAuthor":true,"prefix":"","firstName":"Yan","middleName":"","lastName":"Shi","suffix":""},{"id":290515689,"identity":"316eb02d-3609-4c95-9177-c1c685ba551f","order_by":3,"name":"Cunfa Gao","email":"","orcid":"","institution":"Nanjing University of Aeronautics \u0026 Astronautics","correspondingAuthor":false,"prefix":"","firstName":"Cunfa","middleName":"","lastName":"Gao","suffix":""}],"badges":[],"createdAt":"2024-04-10 08:43:09","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4246230/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4246230/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":55265631,"identity":"283b8c7f-8c9d-4b6a-8230-6c0b164beb83","added_by":"auto","created_at":"2024-04-25 02:11:05","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1067051,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4246230/v1_covered_c7dcfe28-a8f1-4f1f-a7a4-0c7e33d50f2f.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Phase field fracture modelling of flexible piezoelectric materials considering different electrical boundary conditions","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":"Flexible piezoelectric, Finite deformation, Electromechanical, Fracture","lastPublishedDoi":"10.21203/rs.3.rs-4246230/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4246230/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eFlexible piezoelectric materials have gained considerable attention due to their remarkable properties, including electromechanical coupling and high stretchability. These materials have found extensive applications in the field of flexible electronic devices. However, the issue of fracture in flexible piezoelectrics cannot be ignored. In general, these flexible/stretchable materials experience fractures when subjected to significant deformation. While previous studies have primarily focused on fracture problems of brittle piezoelectric materials with low failure strain. There is a need to investigate the fracture behavior of flexible piezoelectrics with finite deformation. Within the framework of the phase field method, this work addresses the fracture of flexible piezoelectrics utilizing a nonlinear electromechanical material model. To solve the coupled governing equations, a residual controlled staggered algorithm (RCSA) is employed in the user element subroutine of commercial software ABAQUS. By utilizing the phase field method and a nonlinear electromechanical material model, this study provides insights into the fracture mechanisms and the effects of various factors on the fracture behavior of these materials. Specifically, the effects of external electric fields, displacements, and various electrical boundary conditions across the crack are investigated. This research contributes to a better understanding of flexible piezoelectric materials and can aid in the development of strategies to enhance their fracture resistance and durability in practical applications.\u003c/p\u003e","manuscriptTitle":"Phase field fracture modelling of flexible piezoelectric materials considering different electrical boundary conditions","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-04-16 17:04:48","doi":"10.21203/rs.3.rs-4246230/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","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}}],"origin":"","ownerIdentity":"f70e3db4-b01a-4416-887e-558a9e0a84fd","owner":[],"postedDate":"April 16th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2024-04-23T18:33:21+00:00","versionOfRecord":[],"versionCreatedAt":"2024-04-16 17:04:48","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-4246230","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-4246230","identity":"rs-4246230","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}