Fracture mechanism and constitutive model considering post-peak plastic deformation of marble under thermal-mechanical action

Fracture mechanism and constitutive model considering post-peak plastic deformation of marble under thermal-mechanical action | 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 Fracture mechanism and constitutive model considering post-peak plastic deformation of marble under thermal-mechanical action Meiben Gao, Tianbin B. Li, Liang Zhang, Yang Gao, Zhihao He, Yuyi Zhong This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4321188/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 16 Oct, 2024 Read the published version in Geomechanics and Geophysics for Geo-Energy and Geo-Resources → Version 1 posted 6 You are reading this latest preprint version Abstract Temperature plays an important impact on rock mechanical properties. In this paper, the mechanical properties, fracture mechanism and constitutive model of marble under thermal-mechanical action are studied by experimental and theoretical methods. The results show that the deformation of marble under the condition of 20-120 ℃ and 15 MPa can be divided into four progressive failure stages: compaction, linear elasticity, crack propagation and post-peak failure. The stress-strain curve is not obviously affected by temperature, characterized by strain softening and plastic deformation. The macroscopic fracture characteristics change from shear failure to tensile mixed failure with the increase of temperature. With the increase of temperature, the strength of marble tends to decrease, indicating that temperature increase has a weakening effect on marble, and there are temperature-sensitive areas of 20-60℃ and temperature sub-sensitive areas of 60-120℃. The elastic modulus of marble decreases and Poisson's ratio increases with increasing temperature. The energy evolution law of marble under different temperature is basically the same, which shows that before crack initiation, the energy dissipation is less, and after the damage and yielding occurs, the energy dissipation increases quickly. The energy dissipation in the failure process is mainly used for crack initiation-connection-penetration, as well as plastic deformation caused by friction and slip of cracks, and the plastic deformation and energy dissipation have good linear characteristics. The statistical damage constitutive model based on three-parameter Weibull distribution function can effectively reflect the characteristics of post-peak plastic deformation and strain softening. The weakening effect of marble at 20-120℃ is related to its internal moisture excitation. With the increase of temperature, water is stimulated to absorb and attach to the original relatively dry interface, which plays a role in lubrication. The relative motion friction resistance between solid particles or crack surfaces decreases, which leads to crack initiation and friction energy consumption reduction, changes the specific surface energy of rocks and weakens the strength of marble. The results provide a theoretical basis for predicting and evaluating the long-term stability and safety of surrounding rock of underground deep engineering in complex environment with high ground temperature and high geo-stress. Marble Temperature Fracture mechanism Post-peak characteristics Constitutive model Dissipation energy Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Figure 9 Figure 10 Full Text Additional Declarations No competing interests reported. Tables are available in the Supplementary Files section. Supplementary Files Tables.doc Cite Share Download PDF Status: Published Journal Publication published 16 Oct, 2024 Read the published version in Geomechanics and Geophysics for Geo-Energy and Geo-Resources → Version 1 posted Reviewers agreed at journal 10 May, 2024 Reviewers agreed at journal 10 May, 2024 Reviewers invited by journal 10 May, 2024 Editor assigned by journal 10 May, 2024 Submission checks completed at journal 06 May, 2024 First submitted to journal 24 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-4321188","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":299165652,"identity":"6e0fd363-cec0-4580-91fc-0a36adbf2f13","order_by":0,"name":"Meiben Gao","email":"","orcid":"","institution":"Xihua University","correspondingAuthor":false,"prefix":"","firstName":"Meiben","middleName":"","lastName":"Gao","suffix":""},{"id":299165653,"identity":"b878bb4f-d09a-43d9-a44b-a3e434e773c1","order_by":1,"name":"Tianbin B. 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In this paper, the mechanical properties, fracture mechanism and constitutive model of marble under thermal-mechanical action are studied by experimental and theoretical methods. The results show that the deformation of marble under the condition of 20-120 ℃ and 15 MPa can be divided into four progressive failure stages: compaction, linear elasticity, crack propagation and post-peak failure. The stress-strain curve is not obviously affected by temperature, characterized by strain softening and plastic deformation. The macroscopic fracture characteristics change from shear failure to tensile mixed failure with the increase of temperature. With the increase of temperature, the strength of marble tends to decrease, indicating that temperature increase has a weakening effect on marble, and there are temperature-sensitive areas of 20-60℃ and temperature sub-sensitive areas of 60-120℃. The elastic modulus of marble decreases and Poisson's ratio increases with increasing temperature. The energy evolution law of marble under different temperature is basically the same, which shows that before crack initiation, the energy dissipation is less, and after the damage and yielding occurs, the energy dissipation increases quickly. The energy dissipation in the failure process is mainly used for crack initiation-connection-penetration, as well as plastic deformation caused by friction and slip of cracks, and the plastic deformation and energy dissipation have good linear characteristics. The statistical damage constitutive model based on three-parameter Weibull distribution function can effectively reflect the characteristics of post-peak plastic deformation and strain softening. The weakening effect of marble at 20-120℃ is related to its internal moisture excitation. With the increase of temperature, water is stimulated to absorb and attach to the original relatively dry interface, which plays a role in lubrication. The relative motion friction resistance between solid particles or crack surfaces decreases, which leads to crack initiation and friction energy consumption reduction, changes the specific surface energy of rocks and weakens the strength of marble. The results provide a theoretical basis for predicting and evaluating the long-term stability and safety of surrounding rock of underground deep engineering in complex environment with high ground temperature and high geo-stress.\u003c/p\u003e","manuscriptTitle":"Fracture mechanism and constitutive model considering post-peak plastic deformation of marble under thermal-mechanical action","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-05-10 18:39:46","doi":"10.21203/rs.3.rs-4321188/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"reviewerAgreed","content":"98280884553871576558302122766852744936","date":"2024-05-10T05:05:40+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"269405581388197386640489280560696020884","date":"2024-05-10T05:03:48+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2024-05-10T05:00:36+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2024-05-10T04:59:25+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2024-05-06T09:23:34+00:00","index":"","fulltext":""},{"type":"submitted","content":"Geomechanics and Geophysics for Geo-Energy and Geo-Resources","date":"2024-04-25T03:07:31+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"geomechanics-and-geophysics-for-geo-energy-and-geo-resources","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"gggg","sideBox":"Learn more about [Geomechanics and Geophysics for Geo-Energy and Geo-Resources](http://link.springer.com/journal/40948)","snPcode":"40948","submissionUrl":"https://submission.nature.com/new-submission/40948/3","title":"Geomechanics and Geophysics for Geo-Energy and Geo-Resources","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"0317c29b-c1fb-41a1-9da9-89c9a5b056cd","owner":[],"postedDate":"May 10th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[],"tags":[],"updatedAt":"2024-10-21T16:00:54+00:00","versionOfRecord":{"articleIdentity":"rs-4321188","link":"https://doi.org/10.1007/s40948-024-00881-8","journal":{"identity":"geomechanics-and-geophysics-for-geo-energy-and-geo-resources","isVorOnly":false,"title":"Geomechanics and Geophysics for Geo-Energy and Geo-Resources"},"publishedOn":"2024-10-16 15:57:15","publishedOnDateReadable":"October 16th, 2024"},"versionCreatedAt":"2024-05-10 18:39:46","video":"","vorDoi":"10.1007/s40948-024-00881-8","vorDoiUrl":"https://doi.org/10.1007/s40948-024-00881-8","workflowStages":[]},"version":"v1","identity":"rs-4321188","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-4321188","identity":"rs-4321188","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}