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Research Article | Open Access

On the time decay for a thermoelastic laminated beam with microtemperature effects, nonlinear weight, and nonlinear time-varying delay

Fatima Siham Djeradi1, Fares Yazid1, Svetlin G. Georgiev2, Zayd Hajjej3, Khaled Zennir4( )
Laboratory of Pure and Applied Mathematics, Amar Teledji University, Laghouat 03000, Algeria
Department of Mathematics, Sorbonne University, Paris, France
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Laboratoire de Mathématiques Appliquées et de Modélisation, Université 8 Mai 1945 Guelma. B.P. 401 Guelma 24000, Algeria
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Abstract

This article examines the joint impacts of microtemperature, nonlinear structural damping, along with nonlinear time-varying delay term, and time-varying coefficient on a thermoelastic laminated beam, where, the equation representing the dynamics of slip is affected by the last three mentioned terms. A general decay result was established regarding the system concerned given equal wave speeds and particular assumptions related to nonlinear terms.

Keywords

laminated beamnonlinear dampingmicrotemperature effectsgeneral decaynonlinear weighttime-varying delay
CLC number: 35B40, 35L56, 74F05, 93D15, 93D20

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 26096-26114
DOI: 10.3934/math.20231330

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Cite this article:
Djeradi FS, Yazid F, Georgiev SG, et al. On the time decay for a thermoelastic laminated beam with microtemperature effects, nonlinear weight, and nonlinear time-varying delay. AIMS Mathematics, 2023, 8(11): 26096-26114. https://doi.org/10.3934/math.20231330

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Received: 17 May 2023
Revised: 13 August 2023
Accepted: 20 August 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)