Statistical damage constitutive model of MICP-treated specimens based on Lognormal Distribution

Statistical damage constitutive model of MICP-treated specimens based on Lognormal Distribution | 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 Statistical damage constitutive model of MICP-treated specimens based on Lognormal Distribution Qiwu Jiang, Ming Huang, Kai Xu, Mingjuan Cui, Shuang Li, Guixiao Jin This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3865808/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 04 Jan, 2025 Read the published version in Acta Geotechnica → Version 1 posted 4 You are reading this latest preprint version Abstract Microbial-induced carbonate precipitation (MICP) technique have the potential to be an eco-friendly and sustainable solution for engineering problems that has presented promise in various geotechnical applications. Despite the extensive amounts of studies about the MICP technique has been conducted recently, there are few studies on the constitutive model of MICP-treated specimens. In this study, the statistical damage constitutive model of MICP-treated specimens was established based on the statistical theory and damage mechanics theory. The model assumed that the microelement strength of bio-cemented sand obeys the log-normal random distribution and the D-P criterion. The parameters S 0 and F 0 in the constitutive model were determined and the physical significance of parameters were discussed accordingly. The reasonableness of the proposed model were verified by comparing the theoretical results and the experimental results. The evolution of the damage variable ( D ), parameter S 0 and parameter F 0 with different calcium carbonate content ( CCC ) were analyzed. The statistical damage models based on log-normal distributions was then compared with that based on Weibull distributions. The results show that the parameter F 0 and S 0 can reflect the limiting strength and brittleness of MICP-treated specimens, respectively. The damage rate accelerates with increase in cementation level, leading to larger damage values. The damage variables eventually reaches a stable value as the axial deformation increases. The proposed model can reflect the strain softening and strain hardening phenomena well, which can also represent the shear expansion and shear contraction characteristics of the volume strain curve. Overall, the research in this study provide some theoretical support for the engineering application of MICP-treated specimens. Microbial-induced carbonate precipitation (MICP) D-P criterion Log-normal distribution Damage intrinsic model Calcium carbonate content Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 04 Jan, 2025 Read the published version in Acta Geotechnica → Version 1 posted Editorial decision: Revision requested 24 Jan, 2024 Editor assigned by journal 24 Jan, 2024 Submission checks completed at journal 17 Jan, 2024 First submitted to journal 15 Jan, 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. 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-3865808","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":267569740,"identity":"8afe9964-5901-400d-ac1d-23dd958a754a","order_by":0,"name":"Qiwu Jiang","email":"","orcid":"","institution":"Fuzhou University","correspondingAuthor":false,"prefix":"","firstName":"Qiwu","middleName":"","lastName":"Jiang","suffix":""},{"id":267569741,"identity":"f078f9e2-6735-443f-9627-2600f6fbbcd5","order_by":1,"name":"Ming 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Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Microbial-induced carbonate precipitation (MICP), D-P criterion, Log-normal distribution, Damage intrinsic model, Calcium carbonate content","lastPublishedDoi":"10.21203/rs.3.rs-3865808/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3865808/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eMicrobial-induced carbonate precipitation (MICP) technique have the potential to be an eco-friendly and sustainable solution for engineering problems that has presented promise in various geotechnical applications. Despite the extensive amounts of studies about the MICP technique has been conducted recently, there are few studies on the constitutive model of MICP-treated specimens. In this study, the statistical damage constitutive model of MICP-treated specimens was established based on the statistical theory and damage mechanics theory. The model assumed that the microelement strength of bio-cemented sand obeys the log-normal random distribution and the D-P criterion. The parameters \u003cem\u003eS\u003c/em\u003e\u003csub\u003e\u003cem\u003e0\u003c/em\u003e\u003c/sub\u003e and \u003cem\u003eF\u003c/em\u003e\u003csub\u003e\u003cem\u003e0\u003c/em\u003e\u003c/sub\u003e in the constitutive model were determined and the physical significance of parameters were discussed accordingly. The reasonableness of the proposed model were verified by comparing the theoretical results and the experimental results. The evolution of the damage variable (\u003cem\u003eD\u003c/em\u003e), parameter \u003cem\u003eS\u003c/em\u003e\u003csub\u003e\u003cem\u003e0\u003c/em\u003e\u003c/sub\u003e and parameter \u003cem\u003eF\u003c/em\u003e\u003csub\u003e\u003cem\u003e0\u003c/em\u003e\u003c/sub\u003e with different calcium carbonate content (\u003cem\u003eCCC\u003c/em\u003e) were analyzed. The statistical damage models based on log-normal distributions was then compared with that based on Weibull distributions. The results show that the parameter \u003cem\u003eF\u003c/em\u003e\u003csub\u003e\u003cem\u003e0\u003c/em\u003e\u003c/sub\u003e and \u003cem\u003eS\u003c/em\u003e\u003csub\u003e\u003cem\u003e0\u003c/em\u003e\u003c/sub\u003e can reflect the limiting strength and brittleness of MICP-treated specimens, respectively. The damage rate accelerates with increase in cementation level, leading to larger damage values. The damage variables eventually reaches a stable value as the axial deformation increases. The proposed model can reflect the strain softening and strain hardening phenomena well, which can also represent the shear expansion and shear contraction characteristics of the volume strain curve. Overall, the research in this study provide some theoretical support for the engineering application of MICP-treated specimens.\u003c/p\u003e","manuscriptTitle":"Statistical damage constitutive model of MICP-treated specimens based on Lognormal Distribution","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-01-18 16:16:52","doi":"10.21203/rs.3.rs-3865808/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2024-01-24T14:23:15+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2024-01-24T14:23:00+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2024-01-17T07:43:45+00:00","index":"","fulltext":""},{"type":"submitted","content":"Acta Geotechnica","date":"2024-01-15T08:07:57+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"acta-geotechnica","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"ageo","sideBox":"Learn more about [Acta Geotechnica](http://link.springer.com/journal/11440)","snPcode":"11440","submissionUrl":"https://submission.nature.com/new-submission/11440/3","title":"Acta Geotechnica","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"e71e4a0e-54a0-44a3-9eb5-5a4a7b8958aa","owner":[],"postedDate":"January 18th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[],"tags":[],"updatedAt":"2025-01-06T15:58:43+00:00","versionOfRecord":{"articleIdentity":"rs-3865808","link":"https://doi.org/10.1007/s11440-024-02509-3","journal":{"identity":"acta-geotechnica","isVorOnly":false,"title":"Acta Geotechnica"},"publishedOn":"2025-01-04 15:56:58","publishedOnDateReadable":"January 4th, 2025"},"versionCreatedAt":"2024-01-18 16:16:52","video":"","vorDoi":"10.1007/s11440-024-02509-3","vorDoiUrl":"https://doi.org/10.1007/s11440-024-02509-3","workflowStages":[]},"version":"v1","identity":"rs-3865808","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-3865808","identity":"rs-3865808","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}