Drained cavity expansion analysis with a unified hardening (UH) model for clays and sands

Drained cavity expansion analysis with a unified hardening (UH) model for clays and sands | 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 Drained cavity expansion analysis with a unified hardening (UH) model for clays and sands Jia-Bin Li, Ming-Guang Li, Jin-Jian Chen, Xiao Candidate This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4268179/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 This study presents a novel semi-analytical solution for the drained expansion of cylindrical and spherical cavities with a unified hardening model for both clays and sands (CSUH). The three-dimensional strength of soils is considered using the stress transformation method. Large-strain analyses are incorporated into the developed cavity expansion solution to obtain the entire stress-strain histories of soils in the plastic regions. By formulating the problem as an initial value problem in the Lagrangian scheme using an auxiliary independent variable, the present study solves the problem numerically. A thorough parameter analysis is conducted for both cylindrical-spherical and clay-sand scenarios, and the results are compared with other existing solutions to demonstrate the distinctive attributes of the present solution. It is found that the present solution can effectively capture the evolution processes of both strength and overconsolidation characteristics of soils, as well as the contracting and dilating behaviors of soils. Three key advantages of the present solution are its sufficient accuracy, less and easily determined parameters, and broad applicability in both clays and sands, resulting in extensive application in engineering, including tunneling, pile foundation construction, and cone penetration tests in clay-sand scenarios under drained conditions. Cylindrical cavity expansion Spherical cavity expansion Drained Sand Clay Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Figure 9 Figure 10 Figure 11 Figure 12 Figure 13 Figure 14 Figure 15 Figure 16 Figure 17 Figure 18 Full Text Additional Declarations No competing interests reported. Tables 1 and 2 are available in the Supplementary Files section. Supplementary Files Tab.1.docx Tab. 1Parameters of Shanghai clay [13]. Tab.2.docx Tab. 2Parameters of Cambria sands [1, 43]. 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-4268179","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":291928890,"identity":"6e67751f-1d35-4054-9015-b41d6ffc07a4","order_by":0,"name":"Jia-Bin Li","email":"","orcid":"","institution":"Shanghai Jiao Tong University","correspondingAuthor":false,"prefix":"","firstName":"Jia-Bin","middleName":"","lastName":"Li","suffix":""},{"id":291928891,"identity":"e5f51be9-e3c3-44af-82a6-82c426b284c4","order_by":1,"name":"Ming-Guang 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sands","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":"Cylindrical cavity expansion, Spherical cavity expansion, Drained, Sand, Clay","lastPublishedDoi":"10.21203/rs.3.rs-4268179/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4268179/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis study presents a novel semi-analytical solution for the drained expansion of cylindrical and spherical cavities with a unified hardening model for both clays and sands (CSUH). The three-dimensional strength of soils is considered using the stress transformation method. Large-strain analyses are incorporated into the developed cavity expansion solution to obtain the entire stress-strain histories of soils in the plastic regions. By formulating the problem as an initial value problem in the Lagrangian scheme using an auxiliary independent variable, the present study solves the problem numerically. A thorough parameter analysis is conducted for both cylindrical-spherical and clay-sand scenarios, and the results are compared with other existing solutions to demonstrate the distinctive attributes of the present solution. It is found that the present solution can effectively capture the evolution processes of both strength and overconsolidation characteristics of soils, as well as the contracting and dilating behaviors of soils. 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