A Novel Conformable Fractional Model for Micropolar Thermo-Viscoelastic Materials under Multi-Temperature Framework

A Novel Conformable Fractional Model for Micropolar Thermo-Viscoelastic Materials under Multi-Temperature Framework | 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 Novel Conformable Fractional Model for Micropolar Thermo-Viscoelastic Materials under Multi-Temperature Framework Emad K. Jaradat, Mohamed I. A. Othman, S. M. Abo-Dahab, Haitham M. Atef This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6675955/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 investigates fractional-order theory as applied to micropolar thermovisco-elastic materials within the framework of multi-temperature theory. Micro-polar model incorporates micro-rotations and scale-dependent effects, allowing for an advanced description of material's mechanical and thermal behavior. The multi-temperature approach further enhances the analysis by considering distinct temperature fields that may coexist within the material, accounting for non-equilibrium thermal processes. Normal mode analysis is utilized to obtain solutions for governing equations, enabling a systematic examination of wave propagation and dynamic responses. Additionally, numerical simulations are conducted using MATLAB to validate the analytical findings and illustrate the effects of fractional parameters, micropolar characteristics, and multi-temperature fields on stress, strain, and thermal distributions. The results reveal significant influences of these factors, providing valuable insights for advanced engineering applications, such as polymers, composites, and biological tissues, where complex thermal and mechanical interactions occur. Micropolar Conformable fractional order theory Viscoelastic material Thermoelasticity Multi-temperatures theory 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-6675955","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":464869462,"identity":"868a921f-22d4-4e1c-b0d9-1a0939cb9f36","order_by":0,"name":"Emad K. 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Micro-polar model incorporates micro-rotations and scale-dependent effects, allowing for an advanced description of material's mechanical and thermal behavior. The multi-temperature approach further enhances the analysis by considering distinct temperature fields that may coexist within the material, accounting for non-equilibrium thermal processes. Normal mode analysis is utilized to obtain solutions for governing equations, enabling a systematic examination of wave propagation and dynamic responses. Additionally, numerical simulations are conducted using MATLAB to validate the analytical findings and illustrate the effects of fractional parameters, micropolar characteristics, and multi-temperature fields on stress, strain, and thermal distributions. 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