Improved damage constitutive modeling of post-peak random failure behavior in quasi-brittle rocks

Improved damage constitutive modeling of post-peak random failure behavior in quasi-brittle rocks | 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 Improved damage constitutive modeling of post-peak random failure behavior in quasi-brittle rocks Chao Zhang, Shixun Ren, Jin Yu, Guoshao Su, Xiaocheng Huang, Wengui Cao This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4687561/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 paper captures the frequently encountered post-peak random failure behaviour of quasi-brittle rocks in conventional triaxial compression. The post-peak theoretical curve of the classic statistical damage constitutive model is essentially regulated by the Weibull distribution parameters m and F 0 . There exists a one-to-one mapping relationship between the array sets of parameters m and F 0 and the confining pressure. However, the peak point method i s unable to effectively constrain the post-peak theoretical curve of the model, resulting in the situation that under specific confining pressure, the post-peak theoretical curve of the classic model is unique and stochastic. In order to address this issue, this paper considers the influence of the degradation effect of damaged micro-elements on heterogeneity and proposes a modified damage model based on the classic damage model. A functional hypothesis expression integrating the effects of heterogeneity and stress level is constructed, and an improved statistical damage constitutive model considering the influence of damage threshold is derived. Through case verification and sensitivity analysis of model parameters, the results indicate that compared with the classic model, the model proposed in this paper, with only one additional parameter, can effectively simulate the post-peak random failure behaviour of heterogeneous quasi-brittle rocks under specific confining pressure. A comparison between predictions and published experimental data is claimed to be satisfactory, and it is revealed that the stress drop in the post-peak region of rocks is not completely random but exhibits stochastic characteristics within a certain range. Quasi-brittle rocks Damage model Post-peak random failure Modified coefficient Stress-strain relations 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. 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-4687561","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":328614264,"identity":"dc7f1eb7-22d1-4096-a71d-08f0512b6cb4","order_by":0,"name":"Chao Zhang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA8ElEQVRIiWNgGAWjYBAC9nYGNiiT+RhM0ACvFp7DEC0SDAxsaVAG8Vp4zIjUwsxj9uBDzb06+fYz3x4XttXVMbA3b5NgqLmDT4u54YxjxRKMPbnbjWe2HZZg4DlWJsFw7BlOLfZAW6R52BIkmCV4t0nzth2QYJDIMZNgbDiM12HSf/4lSLBJ8DwDaqmTYJB/Q4QWxrYECR4JHjagFmagLTyEtLCVSfb2JUjO4EkDuvDcYck2nrRii4RjeLSAwufHtwR++fbDz6R5yur4+dkPb7zxoQa3FgYGDrRYAEdTAh4NwCTzAK/0KBgFo2AUjAIGAB2tQZqa9/LuAAAAAElFTkSuQmCC","orcid":"","institution":"Hunan University of Science and Technology","correspondingAuthor":true,"prefix":"","firstName":"Chao","middleName":"","lastName":"Zhang","suffix":""},{"id":328614265,"identity":"3230fe2f-3911-4740-adcd-506c1043a252","order_by":1,"name":"Shixun Ren","email":"","orcid":"","institution":"Hunan University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Shixun","middleName":"","lastName":"Ren","suffix":""},{"id":328614266,"identity":"dcb0ee49-cac4-419f-abcd-8c1ee3255fe4","order_by":2,"name":"Jin Yu","email":"","orcid":"","institution":"Huaqiao University","correspondingAuthor":false,"prefix":"","firstName":"Jin","middleName":"","lastName":"Yu","suffix":""},{"id":328614268,"identity":"e88f9179-6ebe-41df-82d8-1551c753b156","order_by":3,"name":"Guoshao Su","email":"","orcid":"","institution":"Guangxi University","correspondingAuthor":false,"prefix":"","firstName":"Guoshao","middleName":"","lastName":"Su","suffix":""},{"id":328614270,"identity":"cf56f695-6769-411b-81e5-8d92d5ff2227","order_by":4,"name":"Xiaocheng Huang","email":"","orcid":"","institution":"Hunan University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Xiaocheng","middleName":"","lastName":"Huang","suffix":""},{"id":328614271,"identity":"17e062f8-2e5e-497b-b611-aaaaede9a129","order_by":5,"name":"Wengui Cao","email":"","orcid":"","institution":"Hunan University","correspondingAuthor":false,"prefix":"","firstName":"Wengui","middleName":"","lastName":"Cao","suffix":""}],"badges":[],"createdAt":"2024-07-04 15:24:08","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4687561/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4687561/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":64053466,"identity":"7f699681-6bf3-431f-acfa-83b50f7bdb7f","added_by":"auto","created_at":"2024-09-05 17:17:06","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1269868,"visible":true,"origin":"","legend":"","description":"","filename":"ActaGeotechnica.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4687561/v1_covered_8bb11908-1302-48b4-9f53-2dbc47b7e82c.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Improved damage constitutive modeling of post-peak random failure behavior in quasi-brittle rocks","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":"Quasi-brittle rocks, Damage model, Post-peak random failure, Modified coefficient, Stress-strain relations","lastPublishedDoi":"10.21203/rs.3.rs-4687561/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4687561/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis paper captures the frequently encountered post-peak random failure behaviour of quasi-brittle rocks in conventional triaxial compression. The post-peak theoretical curve of the classic statistical damage constitutive model is essentially regulated by the Weibull distribution parameters \u003cem\u003em\u003c/em\u003e and \u003cem\u003eF\u003c/em\u003e\u003csub\u003e0\u003c/sub\u003e. There exists a one-to-one mapping relationship between the array sets of parameters \u003cem\u003em\u003c/em\u003e and \u003cem\u003eF\u003c/em\u003e\u003csub\u003e0\u003c/sub\u003e and the confining pressure. However, the peak point method \u003cspan type=\"Underline\" class=\"Underline\" name=\"Emphasis\"\u003ei\u003c/span\u003es unable to effectively constrain the post-peak theoretical curve of the model, resulting in the situation that under specific confining pressure, the post-peak theoretical curve of the classic model is unique and stochastic. In order to address this issue, this paper considers the influence of the degradation effect of damaged micro-elements on heterogeneity and proposes a modified damage model based on the classic damage model. A functional hypothesis expression integrating the effects of heterogeneity and stress level is constructed, and an improved statistical damage constitutive model considering the influence of damage threshold is derived. Through case verification and sensitivity analysis of model parameters, the results indicate that compared with the classic model, the model proposed in this paper, with only one additional parameter, can effectively simulate the post-peak random failure behaviour of heterogeneous quasi-brittle rocks under specific confining pressure. A comparison between predictions and published experimental data is claimed to be satisfactory, and it is revealed that the stress drop in the post-peak region of rocks is not completely random but exhibits stochastic characteristics within a certain range.\u003c/p\u003e","manuscriptTitle":"Improved damage constitutive modeling of post-peak random failure behavior in quasi-brittle rocks","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-07-31 09:20:51","doi":"10.21203/rs.3.rs-4687561/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":"223cd759-9de0-479e-bd9a-10d5332f56b1","owner":[],"postedDate":"July 31st, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2024-09-05T17:08:58+00:00","versionOfRecord":[],"versionCreatedAt":"2024-07-31 09:20:51","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-4687561","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-4687561","identity":"rs-4687561","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}