A Stable Meshfree Method for Simulations of Munition Penetration into Earth

A Stable Meshfree Method for Simulations of Munition Penetration into Earth | 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 A Stable Meshfree Method for Simulations of Munition Penetration into Earth Mohammed Mujtaba Atif, Sheng-Wei Chi, Xuejun Li, Jianfei Tian This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4351978/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 29 Jul, 2024 Read the published version in Engineering with Computers → Version 1 posted 9 You are reading this latest preprint version Abstract Mesh-free methods, such as the Reproducing Kernel Particle Method, have been proven advantageous in modeling excessive deformation problems involving material separation, fracture, impact, etc. However, the domain integration in the RKPM remains challenging due to instability and sub-optimal convergence for high strain rate events. Although some novel developments alleviate the above issue, they are either computationally expensive or require evaluating the contour integral, which is not straightforward to obtain in contact and material separation problems using meshfree discretization. This work develops a simple and stable integration method based on the extension of modified Simpson’s rule. The method is free from conforming subdomains and can straightforwardly be applied to the meshfree formulation with updated configuration. To model penetration into the earth, a standard viscous boundary is introduced to address the issue of reflecting waves from the truncated computational domain for the ground target. proposed semi-Lagrangian RK framework to mimic the earth domain. The numerical results are validated with experimental data for various geo-materials and experimental setups. reproducing kernel particle method penetration soil-structure interaction domain integration Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 29 Jul, 2024 Read the published version in Engineering with Computers → Version 1 posted Editorial decision: Revision requested 22 May, 2024 Reviews received at journal 17 May, 2024 Reviews received at journal 10 May, 2024 Reviewers agreed at journal 04 May, 2024 Reviewers agreed at journal 02 May, 2024 Reviewers invited by journal 02 May, 2024 Editor assigned by journal 02 May, 2024 Submission checks completed at journal 02 May, 2024 First submitted to journal 30 Apr, 2024 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. 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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-4351978","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":299859872,"identity":"8622e654-5b2e-4191-8d8e-d384c5f59a10","order_by":0,"name":"Mohammed Mujtaba Atif","email":"","orcid":"","institution":"University of Illinois Chicago","correspondingAuthor":false,"prefix":"","firstName":"Mohammed","middleName":"Mujtaba","lastName":"Atif","suffix":""},{"id":299859874,"identity":"9524149d-a379-462a-a5ad-1355a217c715","order_by":1,"name":"Sheng-Wei Chi","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAnUlEQVRIiWNgGAWjYHACNoaECgYeEEuCBC1nSNbC2AZhEadFfkbyswcP5x2W4W9gPnibhxgtBjfSzA0Stx3mkTjAlmxNnBbpHDYJkBYDBh4zaaK0yM8GaZkD0sL/jTgtDLdBWhrAtrARp8Xg/jMziYRj6TwSh9mMLecQ5bCew88kf9RY2/O3Nz+88YYoh8EBM2nKR8EoGAWjYBTgAwBksijYD3ZipgAAAABJRU5ErkJggg==","orcid":"","institution":"University of Illinois Chicago","correspondingAuthor":true,"prefix":"","firstName":"Sheng-Wei","middleName":"","lastName":"Chi","suffix":""},{"id":299859876,"identity":"943e2796-1432-4289-8df4-68d6f6f29769","order_by":2,"name":"Xuejun Li","email":"","orcid":"","institution":"University of Illinois Chicago","correspondingAuthor":false,"prefix":"","firstName":"Xuejun","middleName":"","lastName":"Li","suffix":""},{"id":299859878,"identity":"7f2a84b2-78fe-4143-bd26-4edd319d55e3","order_by":3,"name":"Jianfei Tian","email":"","orcid":"","institution":"University of Illinois Chicago","correspondingAuthor":false,"prefix":"","firstName":"Jianfei","middleName":"","lastName":"Tian","suffix":""}],"badges":[],"createdAt":"2024-05-01 01:54:29","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4351978/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4351978/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s00366-024-02028-5","type":"published","date":"2024-07-29T15:57:16+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":61794129,"identity":"99e08427-a419-43d7-88bd-5f0eb01f2f02","added_by":"auto","created_at":"2024-08-05 16:17:51","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":2064904,"visible":true,"origin":"","legend":"","description":"","filename":"PenetrationPaperfinal.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4351978/v1_covered_ec568a55-a131-4a05-a29f-7d29f0dbf7fc.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"A Stable Meshfree Method for Simulations of Munition Penetration into Earth","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"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":"engineering-with-computers","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"ewco","sideBox":"Learn more about [Engineering with Computers](http://link.springer.com/journal/366)","snPcode":"366","submissionUrl":"https://submission.nature.com/new-submission/366/3","title":"Engineering with Computers","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"reproducing kernel particle method, penetration, soil-structure interaction, domain integration","lastPublishedDoi":"10.21203/rs.3.rs-4351978/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4351978/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eMesh-free methods, such as the Reproducing Kernel Particle Method, have been proven advantageous in modeling excessive deformation problems involving material separation, fracture, impact, etc. However, the domain integration in the RKPM remains challenging due to instability and sub-optimal convergence for high strain rate events. 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