Energy dissipation law and damage constitutive relationship of low-temperature fine sandstone under impact loading

Energy dissipation law and damage constitutive relationship of low-temperature fine sandstone under impact loading | 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 Article Energy dissipation law and damage constitutive relationship of low-temperature fine sandstone under impact loading Fan Yang, Chuanxin Rong, Bin Wang, Shicheng Sun This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5516424/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 To investigate the energy dissipation law and damage constitutive relationship of low-temperature fine sandstone under impact loading, impact compression tests were conducted on Jurassic Cretaceous fine sandstone at different temperatures by using the SHPB test system, and the stress-strain curves of fine sandstone at different temperatures were recorded. The relationship between the dynamic peak stress and temperature and the energy dissipation law of the sample in the test was analyzed, and the relationship between the fractal dimension of fragmentation and temperature was explored by introducing the fractal dimension, D. A constitutive model of the statistical damage model for dynamic strength damage of fine sandstone based on the Weibull statistical distribution and D-P failure criterion was established. The results show that the stress-strain curve of fine sandstone under impact loading can be divided into four stages: compaction, linear deformation, plastic deformation and rapid unloading. The dynamic peak stress increases with decreasing temperature. The fractal dimension of fine sandstone after crushing under impact loading gradually increases with decreasing temperature, and the correlation coefficient between the fractal dimension and temperature of the sample is 0.936, demonstrating a good exponential relationship. Because the microelement strength of the experimental fine sandstone obeys the Weibull statistical distribution and the parameters F 0 and m are calibrated, a dynamic strength statistical damage constitutive model of the fine sandstone at different temperatures is established, compared with the experimental results, verifying the rationality of the model. Earth and environmental sciences/Solid earth sciences/Petrology Physical sciences/Engineering/Civil engineering cryogenic freezing SHPB fractal dimension dynamic mechanical properties constitutive model 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. 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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-5516424","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":434912750,"identity":"8c99d6a6-1b02-4774-9430-dd136beb2169","order_by":0,"name":"Fan Yang","email":"","orcid":"","institution":"1、School of Civil Engineering and Architecture, Anhui University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Fan","middleName":"","lastName":"Yang","suffix":""},{"id":434912751,"identity":"d65e4cec-ddc2-416b-ad35-2d1ff5135a58","order_by":1,"name":"Chuanxin Rong","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA0klEQVRIiWNgGAWjYDACCQglB+UyE6/FGIgZG0jSkthAtBb+2T1mHz7uqE3vn5H+/AFDhXViA/vZA/gtuXMseebMM8dzZ9zIMWxgOJOe2MCTl4BXi4FE8mFm3rZjuQ03chgbGNsOJzZI8BgQ0JLYDNKSLn8j/WED4z+itIBtqUkwuJFg2MDYQIQWiRtpyYwz2w4YbjzzxnBGwrF04zaeHPxa+GfkGDN8bKuTlzue/uDDhxpr2X72M/i1QMFhCJUAxGzEqAeCOiLVjYJRMApGwYgEADcIRiVqU41fAAAAAElFTkSuQmCC","orcid":"","institution":"1、School of Civil Engineering and Architecture, Anhui University of Science and Technology","correspondingAuthor":true,"prefix":"","firstName":"Chuanxin","middleName":"","lastName":"Rong","suffix":""},{"id":434912752,"identity":"ef722160-1997-437a-b97d-f7f5d13f962d","order_by":2,"name":"Bin Wang","email":"","orcid":"","institution":"1、School of Civil Engineering and Architecture, Anhui University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Bin","middleName":"","lastName":"Wang","suffix":""},{"id":434912753,"identity":"3bd307bb-f2c5-4cdc-b1d2-834c862ce1b1","order_by":3,"name":"Shicheng Sun","email":"","orcid":"","institution":"1、School of Civil Engineering and Architecture, Anhui University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Shicheng","middleName":"","lastName":"Sun","suffix":""}],"badges":[],"createdAt":"2024-11-25 03:08:21","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5516424/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5516424/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":83089873,"identity":"d9e2616a-26f3-405f-8596-e4188c56d0b2","added_by":"auto","created_at":"2025-05-20 01:31:25","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":694164,"visible":true,"origin":"","legend":"","description":"","filename":"Energydissipationlawanddamageconstitutiverelationshipoflowtemperaturefinesandstoneunderimpactloading.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5516424/v1_covered_ea33442e-8bc8-4146-b536-c70988d10ee6.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Energy dissipation law and damage constitutive relationship of low-temperature fine sandstone under impact loading","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":"cryogenic freezing, SHPB, fractal dimension, dynamic mechanical properties, constitutive model","lastPublishedDoi":"10.21203/rs.3.rs-5516424/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5516424/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eTo investigate the energy dissipation law and damage constitutive relationship of low-temperature fine sandstone under impact loading, impact compression tests were conducted on Jurassic Cretaceous fine sandstone at different temperatures by using the SHPB test system, and the stress-strain curves of fine sandstone at different temperatures were recorded. The relationship between the dynamic peak stress and temperature and the energy dissipation law of the sample in the test was analyzed, and the relationship between the fractal dimension of fragmentation and temperature was explored by introducing the fractal dimension, D. A constitutive model of the statistical damage model for dynamic strength damage of fine sandstone based on the Weibull statistical distribution and D-P failure criterion was established. The results show that the stress-strain curve of fine sandstone under impact loading can be divided into four stages: compaction, linear deformation, plastic deformation and rapid unloading. The dynamic peak stress increases with decreasing temperature. The fractal dimension of fine sandstone after crushing under impact loading gradually increases with decreasing temperature, and the correlation coefficient between the fractal dimension and temperature of the sample is 0.936, demonstrating a good exponential relationship. Because the microelement strength of the experimental fine sandstone obeys the Weibull statistical distribution and the parameters F\u003csub\u003e0\u003c/sub\u003e and m are calibrated, a dynamic strength statistical damage constitutive model of the fine sandstone at different temperatures is established, compared with the experimental results, verifying the rationality of the model.\u003c/p\u003e","manuscriptTitle":"Energy dissipation law and damage constitutive relationship of low-temperature fine sandstone under impact loading","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-03-28 06:01:58","doi":"10.21203/rs.3.rs-5516424/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":"66ca0cd8-b075-427a-b97d-9ba6ad7ea35c","owner":[],"postedDate":"March 28th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":46310298,"name":"Earth and environmental sciences/Solid earth sciences/Petrology"},{"id":46310299,"name":"Physical sciences/Engineering/Civil engineering"}],"tags":[],"updatedAt":"2025-05-20T01:23:15+00:00","versionOfRecord":[],"versionCreatedAt":"2025-03-28 06:01:58","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-5516424","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-5516424","identity":"rs-5516424","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}