A Moore-Gibson-Thompson Thermoelastic Model for Spatio-Temporal Nonlocalized Porous Hollow Cylinders with Memory-Dependent Heat Conduction

A Moore-Gibson-Thompson Thermoelastic Model for Spatio-Temporal Nonlocalized Porous Hollow Cylinders with Memory-Dependent Heat Conduction | 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 A Moore-Gibson-Thompson Thermoelastic Model for Spatio-Temporal Nonlocalized Porous Hollow Cylinders with Memory-Dependent Heat Conduction Yixin Zhang, Yongbin Ma This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8252090/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 A generalized thermoelastic model has been developed for porous media by combining Moore-Gibson-Thompson (MGT) thermoelasticity with spatio-temporal nonlocality and memory-dependent heat conduction. The porous skeleton is described within a thermoelastic framework enriched by a Klein-Gordon-type operator in the constitutive relations to capture nonlocal interactions in space and time, while a memory-dependent derivative (MDD) is incorporated into the MGT heat conduction equation to represent finite-speed, history-dependent thermal transport. The resulting model is applied to a hollow, porous cylinder subjected to thermal shock. The coupled field equations for displacement, temperature, and volume fraction are formulated and solved in the Laplace domain, and the physical fields in the time domain are obtained by numerical inversion of the Laplace transforms. A series of parametric studies have been conducted with the objective of elucidating the roles of the time-delay factor, the kernel function, nonlocal parameters and porosity-related coefficients on the distributions of thermoelastic fields. The variations in the void volume fraction demonstrate the significant impact of spatio-temporal nonlocal effects on the interaction between local deformation and neighbouring regions in porous materials. In addition, transient responses predicted by the proposed model are systematically compared with those from classical thermoelastic theories that neglect memory and nonlocality. The findings demonstrate that incorporating MDD-based heat conduction and nonlocal effects results in significant alterations to the transient behaviour, thereby facilitating a more precise and accurate depiction of the dynamic response of porous thermoelastic structures. Moore-Gibson-Thompson heat conduction memory-dependent derivative porous materials spatio-temporal nonlocality hollow thermoelastic cylinder 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-8252090","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":554841641,"identity":"85827c7a-4b9c-495f-995d-4d694b058554","order_by":0,"name":"Yixin Zhang","email":"","orcid":"","institution":"Lanzhou University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Yixin","middleName":"","lastName":"Zhang","suffix":""},{"id":554841642,"identity":"f0647810-5fd6-4354-b11a-8f608c277f4a","order_by":1,"name":"Yongbin 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