Reflection of harmonic waves in a nonlocal rotating micropolar medium under three-phase-lag theory with temperature dependent elastic model

Reflection of harmonic waves in a nonlocal rotating micropolar medium under three-phase-lag theory with temperature dependent elastic model | 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 Reflection of harmonic waves in a nonlocal rotating micropolar medium under three-phase-lag theory with temperature dependent elastic model Ambreen A Khan, Sadiq M. Sait, R. Ellahi This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6366484/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 The reflection of harmonic waves, like sound or light, has diverse applications, including sonar for object location, understanding seismic waves in geophysics, and even in the human eye's ability to see. The reflection of plane waves with constant material properties are available in existing literature but a very little attention has been given to the temperature-dependent modulus of elasticity. A novel model is proposed to study the propagation of harmonic plane waves through a nonlocal micropolar medium which temperature dependent material properties. The influence of nonlocality and rotation effects are also taken into account. The precise formulations of the field quantities are presented and examined using the normal mode approach. Three phase lag (TPL) theory is applied to model and solve the governing equations. The effects of rotation, temperature-dependent constants, and the nonlocality parameter on the different physical quantities have been examined and displayed graphically. Energy ratios are also computed by using the amplitude ratios. It is concluded that in a nonlocal, rotating, micropolar medium, reflection of harmonic waves provides four coupled quasi-waves namely; quasitransverse; quasilongitudinal; quasimicrorotational; and quasithermal with different speeds and the energy ratios and reflection coefficients are affected by nonlocal parameters, rotation and micropolarity. Harmonic waves non-local micropolar medium rotations energy ratios temperature dependent elastic modulus three phase lag theory Full Text Additional Declarations No competing interests reported. Associated Publications 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-6366484","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[{"doi":"10.22059/jcamech.2025.395439.1478","date":"","title":"","authors":"","journal":"","logo":""}],"authors":[{"id":437769483,"identity":"fa447429-fafe-4982-96c4-18d25d9ac121","order_by":0,"name":"Ambreen A Khan","email":"","orcid":"","institution":"International Islamic University","correspondingAuthor":false,"prefix":"","firstName":"Ambreen","middleName":"A","lastName":"Khan","suffix":""},{"id":437769488,"identity":"6220e712-89d6-4c75-b6cf-2c246c8f26d4","order_by":1,"name":"Sadiq M. 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The reflection of plane waves with constant material properties are available in existing literature but a very little attention has been given to the temperature-dependent modulus of elasticity. A novel model is proposed to study the propagation of harmonic plane waves through a nonlocal micropolar medium which temperature dependent material properties. The influence of nonlocality and rotation effects are also taken into account. The precise formulations of the field quantities are presented and examined using the normal mode approach. Three phase lag (TPL) theory is applied to model and solve the governing equations. The effects of rotation, temperature-dependent constants, and the nonlocality parameter on the different physical quantities have been examined and displayed graphically. Energy ratios are also computed by using the amplitude ratios. 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