Modeling Conformable Fractional Order Theory and Temperature–dependent Properties on a Non-local Thermoelastic Material with Multi-temperatures

Modeling Conformable Fractional Order Theory and Temperature–dependent Properties on a Non-local Thermoelastic Material with Multi-temperatures | 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 Modeling Conformable Fractional Order Theory and Temperature–dependent Properties on a Non-local Thermoelastic Material with Multi-temperatures Emad K. Jaradat, Mohamed I. A. Othman, S. M. Abo-Dahab, Haitham M. Atef This is a preprint; it has not been peer reviewed by a journal.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-6675748/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 paper presents a comprehensive study on the thermoelastic and visco-elastic behavior of fiber-reinforced materials, incorporating the effects of various parameters such as conformable fractional order, multi-temperature theory, non-local interactions, and temperature-dependent material properties. Normal-mode analysis is used to solve the system's governing equations, offering detailed insights into the material's thermal and mechanical behavior under dynamic loading. Conformable fractional parameter is introduced to capture the material's memory effects and long-range interactions. At the same time, the multi-temperature theory accounts for the influence of different temperature fields within the system. The non-local parameter is also incorporated to account for the impact of microstructural effects and long-range interactions. The temperature-dependent effect is modeled to reflect how variations in material properties with temperature affect the system's overall behavior. These factors are studied graphically to evaluate their impact on stress, strain, and temperature distribution, offering a deeper understanding of the material's performance under various thermal and mechanical conditions. The results contribute to designing and optimizing advanced composite materials, providing a more accurate prediction of their behavior in complex environments. Conformable fractional calculus multi-temperature theory non-local thermo- elasticity temperature-dependent properties normal mode approach 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-6675748","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":457995277,"identity":"86be1cf7-c70c-4460-b35e-1ec674f85647","order_by":0,"name":"Emad K. Jaradat","email":"","orcid":"","institution":"Imam Mohammad Ibn Saud Islamic University (IMSIU)","correspondingAuthor":false,"prefix":"","firstName":"Emad","middleName":"K.","lastName":"Jaradat","suffix":""},{"id":457995278,"identity":"4b5fa736-1484-4907-b2f1-a1554d389ee8","order_by":1,"name":"Mohamed I. A. 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