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IssuesArchive of Issues2025-8pp.6774-6795

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Rajneesh Kumar and Pooja Singhal, "Response of Temperature Dependent Properties on Kirchhoff Plate in Non-local Modified Couple Stress Thermoelastic model," Mech. Solids. 60 (8), 6774-6795 (2025)
Year 2025 Volume 60 Number 8 Pages 6774-6795
DOI 10.1134/S0025654425603994
Title Response of Temperature Dependent Properties on Kirchhoff Plate in Non-local Modified Couple Stress Thermoelastic model
Author(s) Rajneesh Kumar (Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, 136119 India, rajneesh_kuk@rediffmail.com)
Pooja Singhal (Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, 136119 India, poojaacad009@gmail.com)
Abstract The current study deals with thermoelastic damping (TD) and frequency shift (FS) of Kirchhoff plate resonator by considering modified couple stress thermoelastic model under non-local, phase leg, and temperature dependent properties (TDP). The governing equations and heat conduction equations are presented with Kirchhoff-Love plate theory in which material properties of the plate are taken to be temperature dependent. The plate is examined under different boundary conditions clamped-clamped (CC), simply supported (SS), clamped-supported (CC) and clamped free (CF) to explore TD and FS. A computer algorithm has been constructed to obtained the numerical result. The numerical results for TD and FS under different boundary restriction (CC, SS, CS, and CF) are presented in tabular form and also described graphically. Some unique cases are also deduced.
Keywords Thermoelastic, Kirchhoff-Love plate theory, Non-local Dual-phase-lag model, TDP model, Thermoelastic damping, Frequency shift, Temperature-Dependent Properties, Non-Local Modified Couple Stress Theory
Received 24 July 2025Revised 07 September 2025Accepted 03 October 2025
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