Optimizing Computational Efficiency in TPMS Structural Design through Surrogate Modeling

Optimizing Computational Efficiency in TPMS Structural Design through Surrogate Modeling | 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 Optimizing Computational Efficiency in TPMS Structural Design through Surrogate Modeling Thitichai Janpheng, Joerg Lienhard, Timo Schweiger This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6210868/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 29 Aug, 2025 Read the published version in Progress in Additive Manufacturing → Version 1 posted You are reading this latest preprint version Abstract This paper introduces a surrogate modeling approach for simulating Triply Periodic Minimal Surfaces (TPMS), which can be used in various engineering applications due to their unique geometric, mechanical properties and light weight properties as a second hierarchy level below the component design level. The detailed finite element analysis of theses structure in components, require inten- sive computational resources due to the complex geometries of TPMS. To address these challenges, we propose a surrogate model that simplifies the geometric and mechanical representation of TPMS, enabling more effcient simulations without compromising accuracy. This model was validated against experimental data from bending tests performed on TPMS structures fabricated using additive manufac- turing techniques. The surrogate model demonstrated excellent agreement with experimental results, offering a promising tool for the rapid and effcient design of TPMS-based components. The model’s utility is underscored by its application in predicting the mechanical behavior of TPMS structures under various loading conditions, confirming its potential for broader adoption in engineering design processes. TPMS Surogate modelling Compression test Additive manufacturing Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 29 Aug, 2025 Read the published version in Progress in Additive Manufacturing → 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-6210868","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":432317502,"identity":"845bf76f-3079-440e-a01e-dd3fcdb66b37","order_by":0,"name":"Thitichai Janpheng","email":"","orcid":"","institution":"Offenburg University of Applied Sciences","correspondingAuthor":false,"prefix":"","firstName":"Thitichai","middleName":"","lastName":"Janpheng","suffix":""},{"id":432317503,"identity":"a651473e-5809-4cc2-af90-e8fd18a103bb","order_by":1,"name":"Joerg Lienhard","email":"data:image/png;base64,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","orcid":"","institution":"Offenburg University of Applied Sciences","correspondingAuthor":true,"prefix":"","firstName":"Joerg","middleName":"","lastName":"Lienhard","suffix":""},{"id":432317504,"identity":"529d2d8b-64b0-4d46-8615-3091e4b6c4ab","order_by":2,"name":"Timo Schweiger","email":"","orcid":"","institution":"Fraunhofer Institute for Mechanics of Materials","correspondingAuthor":false,"prefix":"","firstName":"Timo","middleName":"","lastName":"Schweiger","suffix":""}],"badges":[],"createdAt":"2025-03-12 09:53:09","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6210868/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6210868/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s40964-025-01297-w","type":"published","date":"2025-08-29T15:57:22+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":90345112,"identity":"f8507c1b-50ae-42a3-b9c3-ccba278760fc","added_by":"auto","created_at":"2025-09-01 16:10:01","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":10606137,"visible":true,"origin":"","legend":"","description":"","filename":"TPMSSourrogateSimualtionPIAM.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6210868/v1_covered_21d0411a-7cf3-423b-aec6-61e7f7da0519.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Optimizing Computational Efficiency in TPMS Structural Design through Surrogate Modeling","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":true,"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":"TPMS, Surogate modelling, Compression test, Additive manufacturing","lastPublishedDoi":"10.21203/rs.3.rs-6210868/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6210868/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis paper introduces a surrogate modeling approach for simulating Triply Periodic Minimal Surfaces (TPMS), which can be used in various engineering applications due to their unique geometric, mechanical properties and light weight properties as a second hierarchy level below the component design level. The detailed finite element analysis of theses structure in components, require inten- sive computational resources due to the complex geometries of TPMS. To address these challenges, we propose a surrogate model that simplifies the geometric and mechanical representation of TPMS, enabling more effcient simulations without compromising accuracy. This model was validated against experimental data from bending tests performed on TPMS structures fabricated using additive manufac- turing techniques. The surrogate model demonstrated excellent agreement with experimental results, offering a promising tool for the rapid and effcient design of TPMS-based components. 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