Comparison of Numerical Methods for Geometric Warpage Compensation

Comparison of Numerical Methods for Geometric Warpage Compensation | 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 Comparison of Numerical Methods for Geometric Warpage Compensation Steffen Tillmann, Stefan Basermann, Stefanie Elgeti This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3959260/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 injection molding processes, shrinkage and warpage often cause deviations in the shape of produced parts compared to the cavity shape. These deviations arise due to uneven cooling and internal stresses within the part. One approach to mitigate these effects is by adjusting the cavity shape to anticipate the deformation. This can be achieved by simulating the expected deformation using suitable models, which then inform the optimization of the cavity shape for injection molded parts with minimal deformation. \\In this study, we evaluate various numerical algorithms from existing literature to identify the optimal cavity shape. Each method is briefly outlined regarding how it adapts the geometry, and we discuss their respective strengths and weaknesses for different scenarios. We conduct comparisons using 3D geometries of varying complexity. Our findings demonstrate that, for geometric warpage compensation, the node-based reverse geometry method yields the least warpage and is computationally cost-effective. Furthermore, it is straightforward to implement and consistently performs well across different geometries. Injection molding Warpage compensation Numerical methods Cavity shape adaption Algorithm comparison Full Text 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-3959260","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":273431527,"identity":"04ff2334-f47e-4a87-8c5d-891a29afbbb2","order_by":0,"name":"Steffen Tillmann","email":"data:image/png;base64,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","orcid":"https://orcid.org/0009-0006-5895-0406","institution":"RWTH Aachen University: Rheinisch-Westfalische Technische Hochschule Aachen","correspondingAuthor":true,"prefix":"","firstName":"Steffen","middleName":"","lastName":"Tillmann","suffix":""},{"id":273431528,"identity":"e98927ca-996c-437a-9c16-cab7e15b33f5","order_by":1,"name":"Stefan Basermann","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Stefan","middleName":"","lastName":"Basermann","suffix":""},{"id":273431529,"identity":"5660448b-5c92-4206-8afa-ec53d3ee8cf3","order_by":2,"name":"Stefanie Elgeti","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Stefanie","middleName":"","lastName":"Elgeti","suffix":""}],"badges":[],"createdAt":"2024-02-15 17:11:21","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3959260/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3959260/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":53760811,"identity":"51b9c98c-3939-459a-9232-4289368dd25e","added_by":"auto","created_at":"2024-03-29 20:22:44","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":401610,"visible":true,"origin":"","legend":"","description":"","filename":"ComparisonofNumericalMethodsforCompensation.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3959260/v1_covered_3260a625-dac6-455f-8e0e-a0a360f6186c.pdf"}],"financialInterests":"","formattedTitle":"Comparison of Numerical Methods for Geometric Warpage Compensation","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":"Injection molding, Warpage compensation, Numerical methods, Cavity shape adaption, Algorithm comparison","lastPublishedDoi":"10.21203/rs.3.rs-3959260/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3959260/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn injection molding processes, shrinkage and warpage often cause deviations in the shape of produced parts compared to the cavity shape. 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