Numerical Characterization of Stress Distribution in Exponentially Graded Pressurized Cylinders Incorporating Metal-Ceramic Combinations

Numerical Characterization of Stress Distribution in Exponentially Graded Pressurized Cylinders Incorporating Metal-Ceramic Combinations | 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 Article Numerical Characterization of Stress Distribution in Exponentially Graded Pressurized Cylinders Incorporating Metal-Ceramic Combinations Sandeep Kumar Paul, Parth Mehta, Manoj Sahni, Ernesto Leon Castro, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7969443/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 In this study, we have developed a comprehensive model for computation of stresses in an axisymmetric cylinder graded with material properties in an exponential form, under a plain strain condition and subjected to compressive internal--external pressure. By integrating Navier's equilibrium equation together with Hooke's law and strain - displacement relation, the model investigates steady state elastic stress distribution in an axisymmetric pressurized functionally graded cylinder under three different material combinations, namely, $SUS304 - ZrO_{2}$, $CA - AlN$ and $HCS - MgO$. The material property, namely, stiffness, widely termed as Young's modulus is tailored exponentially at radial points across the cylinder, representing the functionally graded nature, used to optimize the stress distribution. Further, the numerical characterization of stress distribution in FG cylinder for all three above discussed materials is presented. The consequence of material property control parameter on the primary variable representing the field of displacement and the secondary variable representing stress field in the graded cylindrical body for three different material combinations is highlighted. The stability and convergence of solution obtained using Frobenius series solution method is presented with different number of terms considered in the series solution where it has been observed that the solution starts to converge after considering 10 terms. The outcome of error analysis for method of iteration, FEM and Frobenius series solution validates an excellent consistency between the obtained results. The implemented iterative technique shows an efficient convergence to the solution in just two iterations. Results of displacement and stresses are graphically presented and their appropriate contextual interpretation is discussed for understanding the efficacy of three methods for all the three material combinations. The obtained results are analysed thoroughly with critical viewpoint and the relative advantage of each solution method is presented. Physical sciences/Engineering Physical sciences/Materials science Physical sciences/Mathematics and computing Functionally graded materials (FGM) Young’s modulus internal-external pressure stress-strain pressure vessel finite element method (FEM) 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-7969443","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":545764470,"identity":"c7426b08-5742-41d1-8364-5e2d2fe069c9","order_by":0,"name":"Sandeep Kumar Paul","email":"","orcid":"","institution":"University of Petroleum and Energy Studies","correspondingAuthor":false,"prefix":"","firstName":"Sandeep","middleName":"Kumar","lastName":"Paul","suffix":""},{"id":545764471,"identity":"5d8796e6-209f-48a7-bd47-3abbda50ad63","order_by":1,"name":"Parth Mehta","email":"","orcid":"","institution":"Indian Institute of Management Ahmedabad","correspondingAuthor":false,"prefix":"","firstName":"Parth","middleName":"","lastName":"Mehta","suffix":""},{"id":545764472,"identity":"3391243d-a7e2-4e60-ace3-1222a0d1cf1e","order_by":2,"name":"Manoj Sahni","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABBElEQVRIie2PsWrDMBRFZQyeCl1fPqKQUhAdjP0hXfQQJEuSpWMDVSg0H1Fov6DQLp1lDO2SRqsgHRyyZkjGgCl51pTFdsZAdKZ34R4ujzGP51QBxgRjgdL4H1MMJvpYZaKLqMece8wQKSzMiih3qVG5mv5mxW2ZjC5fnpQWFyZ5n+a0Mo7v6hQ+G8lu51new19GCizk1wxJ+e4NVZ2iBxw6KkRlqSm6C8k1HYHK6xWz5gDlI745RcwlN8sWxdIKRDl+OEXrhNu2Fbu+oV9+8LNqopKCW1oRTb+YwfUKygd8tf3VdqeSlJv+stiM41qlIoSDgK4pGuoVweYgpC1lj8fjOUP26MRwAETz5BkAAAAASUVORK5CYII=","orcid":"","institution":"Pandit Deendayal Petroleum University","correspondingAuthor":true,"prefix":"","firstName":"Manoj","middleName":"","lastName":"Sahni","suffix":""},{"id":545764473,"identity":"c3fce3a0-336b-459d-8cad-08299bdebe3f","order_by":3,"name":"Ernesto Leon Castro","email":"","orcid":"","institution":"Universidad Católica de la Santísima Concepción","correspondingAuthor":false,"prefix":"","firstName":"Ernesto","middleName":"Leon","lastName":"Castro","suffix":""},{"id":545764474,"identity":"fab0c911-e45e-4c05-8b98-60cac40c4cee","order_by":4,"name":"Luis F. 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