Extended Finite Element Method Based on Cosserat (Micropolar) Elasticity Theory for the Computation of Stress Intensity Factors

Extended Finite Element Method Based on Cosserat (Micropolar) Elasticity Theory for the Computation of Stress Intensity Factors | 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 Extended Finite Element Method Based on Cosserat (Micropolar) Elasticity Theory for the Computation of Stress Intensity Factors Yanjun CHANG, Yiyuan CHEN, Jiaqi LIANG, Lin MO, Liqiang TANG, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6626593/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 An extended finite element method (XFEM) considering the Cosserat (micropolar) elasticity theory is developed using the ABAQUS finite element analysis platform. The method is about the two-dimensional (2D) simulation which accurately describes the discontinuity and strong nonlinearity of crack displacement in materials with size effects. The interaction integral (I-integral) is used to solve the stress intensity factors (SIFs) at the crack tip. The effects of the integration domain near the crack tip and the number of integration points of the crack tip element on the accuracy of the SIFs are discussed based on the simulation and analysis of strip specimens with edge and central cracks. The results demonstrate that, for the same integration domain, the solution accuracy of the micropolar elastic XFEM (XFEM/Cosserat) is higher than that of the finite element method and classical elastic XFEM. Additionally, for the same number of integration points of the crack tip element, the solution accuracy of XFEM/Cosserat is higher than that of the classical elastic XFEM. This verifies the feasibility and accuracy of XFEM/Cosserat in simulating mode-I, mode-II, and I-II mixed mode cracks. Cosserat (micropolar) elasticity interaction integration stress intensity factors extended finite element 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-6626593","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":468070249,"identity":"780fe29d-f96d-47f6-bdd6-f9c21b3f625e","order_by":0,"name":"Yanjun CHANG","email":"","orcid":"","institution":"Guangxi University College of Civil Engineering and Architecture","correspondingAuthor":false,"prefix":"","firstName":"Yanjun","middleName":"","lastName":"CHANG","suffix":""},{"id":468070250,"identity":"9b4ddbf2-4f90-43dd-8721-4812c8c7a934","order_by":1,"name":"Yiyuan CHEN","email":"","orcid":"","institution":"Guangxi University College of Civil Engineering and Architecture","correspondingAuthor":false,"prefix":"","firstName":"Yiyuan","middleName":"","lastName":"CHEN","suffix":""},{"id":468070251,"identity":"a54365ae-c3f1-45e5-a37c-0461562aa413","order_by":2,"name":"Jiaqi LIANG","email":"","orcid":"","institution":"Guangxi University College of Civil Engineering and Architecture","correspondingAuthor":false,"prefix":"","firstName":"Jiaqi","middleName":"","lastName":"LIANG","suffix":""},{"id":468070252,"identity":"7fb3d249-78c8-4b05-9b45-ca17295b6757","order_by":3,"name":"Lin MO","email":"","orcid":"","institution":"The First Construction Engineering Group Co. 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The method is about the two-dimensional (2D) simulation which accurately describes the discontinuity and strong nonlinearity of crack displacement in materials with size effects. The interaction integral (I-integral) is used to solve the stress intensity factors (SIFs) at the crack tip. The effects of the integration domain near the crack tip and the number of integration points of the crack tip element on the accuracy of the SIFs are discussed based on the simulation and analysis of strip specimens with edge and central cracks. The results demonstrate that, for the same integration domain, the solution accuracy of the micropolar elastic XFEM (XFEM/Cosserat) is higher than that of the finite element method and classical elastic XFEM. Additionally, for the same number of integration points of the crack tip element, the solution accuracy of XFEM/Cosserat is higher than that of the classical elastic XFEM. 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