Wave Propagation in a Fiber-Reinforced Visco-Thermoelastic Medium with Voids under the Influence of Nonlocal and Memory-Dependent Derivatives using Lord-Shulman Theory

Wave Propagation in a Fiber-Reinforced Visco-Thermoelastic Medium with Voids under the Influence of Nonlocal and Memory-Dependent Derivatives using Lord-Shulman Theory | 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 Wave Propagation in a Fiber-Reinforced Visco-Thermoelastic Medium with Voids under the Influence of Nonlocal and Memory-Dependent Derivatives using Lord-Shulman Theory Mohamed I. A. Othman, Esraa M. Gamal This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8628434/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 13 You are reading this latest preprint version Abstract This research investigates how thermoelastic waves travel through a fiber-reinforced, viscous-thermoelastic material that contains voids. It considers the impact of both nonlocal interactions and memory-dependent derivatives on this wave propagation. The material model was built within the framework of the Lord–Shulman theory, which introduces a thermal relaxation time to overcome the limitations associated with classical thermoelasticity theories. The resulting system of partial differential equations was transformed using appropriate dimensionless variables, which helped generalize the analysis and simplify the study of the effects of physical parameters. The analytical solution was derived using the normal mode analysis method. This technique simplified the model into an algebraic system, enabling a thorough investigation of the wave's properties. The effects of fiber reinforcement, viscosity, and non-locality were illustrated through theoretical representation and graphical plots. The results provide deeper insight into the dynamic behavior of fiber-reinforced composite materials under coupled thermal and mechanical effects. Reinforcement porous thermoelastic solid viscosity nonlocal parameter Lord-Shulman theory memory-dependent derivative Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 15 Mar, 2026 Reviews received at journal 05 Mar, 2026 Reviews received at journal 28 Feb, 2026 Reviews received at journal 28 Feb, 2026 Reviewers agreed at journal 22 Feb, 2026 Reviewers agreed at journal 22 Feb, 2026 Reviewers agreed at journal 02 Feb, 2026 Reviewers agreed at journal 02 Feb, 2026 Reviewers agreed at journal 29 Jan, 2026 Reviewers invited by journal 27 Jan, 2026 Editor assigned by journal 20 Jan, 2026 Submission checks completed at journal 20 Jan, 2026 First submitted to journal 17 Jan, 2026 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-8628434","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":581361301,"identity":"79fe0589-af0f-4ca0-826c-ef49dcb8ce3f","order_by":0,"name":"Mohamed I. A. 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