An analytical evaluation of $T$-stress influence in the process zone modelling for the interface crack kinking

An analytical evaluation of $T$-stress influence in the process zone modelling for the interface crack kinking | 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 An analytical evaluation of $T$-stress influence in the process zone modelling for the interface crack kinking Anatoly Kaminsky, Mykhaylo Dudyk, Yuri Chornoivan This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7785815/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 06 Apr, 2026 Read the published version in International Journal of Fracture → Version 1 posted 10 You are reading this latest preprint version Abstract This study presents an analysis of the influence of T-stresses on the stress field near the tip of an interfacial crack under plane strain conditions, specifically examining the initial stage of crack kinking from the interface. The analysis focuses on the formation of a small-scale process zone within the less crack-resistant elastic material of a bimaterial joint. The process zone is modeled as a discontinuity line of normal displacement, where the normal stress is assumed to be equal to the failure stress of the respective material. T-stresses are incorporated into the model by including their contribution to the asymptotic stress field near the crack tip. This asymptotic field is subsequently used to formulate the condition at infinity for the corresponding boundary value problem within the theory of elasticity. The parameters of the process zone (its length and angle of inclination) are calculated by solving the boundary value problem using the Wiener-Hopf method. From the derived solution, an equation is obtained for calculating the length and angle of inclination of the process zone. This calculation is based on the criterion of maximum potential energy accumulated within the zone. Furthermore, the energy release rate and crack opening displacement are also determined, providing essential metrics for formulating crack initiation conditions based on energy or deformation criteria. A numerical analysis was conducted to investigate the dependence of the zone's parameters on the applied load and to specifically study the effect of T-stresses on its orientation. Finally, a comparative analysis of the model's predictions for the kinking angles was performed against values reported in extant theoretical and experimental literature. interface crack crack kinking T-stresses process zone. Wiener-Hopf method Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 06 Apr, 2026 Read the published version in International Journal of Fracture → Version 1 posted Editorial decision: Revision requested 16 Dec, 2025 Reviews received at journal 02 Nov, 2025 Reviews received at journal 01 Nov, 2025 Reviewers agreed at journal 08 Oct, 2025 Reviewers agreed at journal 07 Oct, 2025 Reviewers agreed at journal 06 Oct, 2025 Reviewers invited by journal 06 Oct, 2025 Editor assigned by journal 06 Oct, 2025 Submission checks completed at journal 06 Oct, 2025 First submitted to journal 05 Oct, 2025 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-7785815","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":526722762,"identity":"ca5d1fc0-487c-4212-a623-454823029fb9","order_by":0,"name":"Anatoly Kaminsky","email":"","orcid":"","institution":"S.P. 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