Exploration of higher-order Thermo-Elastic Responses in 2-D Functionally Graded Panels in Turbine Blades through Crank-Nicolson Method

Exploration of higher-order Thermo-Elastic Responses in 2-D Functionally Graded Panels in Turbine Blades through Crank-Nicolson Method | 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 Exploration of higher-order Thermo-Elastic Responses in 2-D Functionally Graded Panels in Turbine Blades through Crank-Nicolson Method Soumyajit Das This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8015500/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 study addresses the essential limitations of conventional functionally graded materials (FGMs) in justifying thermal distribution challenges employing the Crank-Nicolson heat conduction method. Conventional FGMs exhibit uniform composition on all outer surfaces, proving insufficient for machine elements with multidirectional temperature variations. To overcome this, the study introduces two-dimensional functionally graded materials (2D-FGM), characterized by material properties varying in two directions. The aim is to investigate and enhance the understanding of thermal stresses in panels, contributing to advancements in aerospace engineering for optimized structural performance and longevity. The research investigates FGMs in plate form with in-plane compositional variations for in-plane heat fluxes. The study focuses on challenges associated with thermal gradient problems in conventional FGMs and the potential of 2D-FGM as a solution. Numerical simulations reveal the effectiveness of 2D-FGM in reducing thermal stresses, with temperature variations in the range of \(\:300\:K\) to \(\:600\:K\). This study investigates thermo-mechanical behavior in functionally graded plates, revealing a reciprocal relationship between thermal conductivity and metallic content at \(\:n=0.5\). A thermal loading cycle (q max = \(\:400\:kW/{m}^{2}\) to q min \(\:=\:200\:kW/{m}^{2}\)) is employed, and Model Validation examines temperature variations (\(\:1000K\) to \(\:2000K\)). Transient temperature distribution is explored using Explicit and Crank-Nicolson methods. The research endeavors to offer valuable insights into advanced materials and their application in engineering, particularly in aerospace engineering, where precise thermal stress management is critical for the optimal structural performance of turbine blade panels. Two-dimensional turbine blade FGPs Crank Nicolson heat conduction method Higher-order Thermo-elastic responses Self-Consistent Model In-plane Heat Fluxes 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-8015500","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":538949014,"identity":"cf64b9d8-bfe4-4eb1-bfa9-df0e998906e2","order_by":0,"name":"Soumyajit 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Conventional FGMs exhibit uniform composition on all outer surfaces, proving insufficient for machine elements with multidirectional temperature variations. To overcome this, the study introduces two-dimensional functionally graded materials (2D-FGM), characterized by material properties varying in two directions. The aim is to investigate and enhance the understanding of thermal stresses in panels, contributing to advancements in aerospace engineering for optimized structural performance and longevity. The research investigates FGMs in plate form with in-plane compositional variations for in-plane heat fluxes. The study focuses on challenges associated with thermal gradient problems in conventional FGMs and the potential of 2D-FGM as a solution. Numerical simulations reveal the effectiveness of 2D-FGM in reducing thermal stresses, with temperature variations in the range of \\(\\:300\\:K\\) to \\(\\:600\\:K\\). This study investigates thermo-mechanical behavior in functionally graded plates, revealing a reciprocal relationship between thermal conductivity and metallic content at \\(\\:n=0.5\\). A thermal loading cycle (q\u003csub\u003emax\u003c/sub\u003e = \\(\\:400\\:kW/{m}^{2}\\) to q\u003csub\u003emin\u003c/sub\u003e \\(\\:=\\:200\\:kW/{m}^{2}\\)) is employed, and Model Validation examines temperature variations (\\(\\:1000K\\) to \\(\\:2000K\\)). Transient temperature distribution is explored using Explicit and Crank-Nicolson methods. 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