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Decay of a Thermoelastic Laminated Beam with Microtemperature Effects, Nonlinear Delay, and Nonlinear Structural Damping

Author

Listed:
  • Hicham Saber

    (Department of Mathematics, Faculty of Sciences, University of Ha’il, Ha’il 55425, Saudi Arabia)

  • Fares Yazid

    (Laboratory of Pure and Applied Mathematics, Amar Teledji University, Laghouat 03000, Algeria)

  • Djamel Ouchenane

    (Laboratory of Pure and Applied Mathematics, Amar Teledji University, Laghouat 03000, Algeria)

  • Fatima Siham Djeradi

    (Laboratory of Pure and Applied Mathematics, Amar Teledji University, Laghouat 03000, Algeria)

  • Keltoum Bouhali

    (Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass 51921, Saudi Arabia)

  • Abdelkader Moumen

    (Department of Mathematics, Faculty of Sciences, University of Ha’il, Ha’il 55425, Saudi Arabia)

  • Yousef Jawarneh

    (Department of Mathematics, Faculty of Sciences, University of Ha’il, Ha’il 55425, Saudi Arabia)

  • Tariq Alraqad

    (Department of Mathematics, Faculty of Sciences, University of Ha’il, Ha’il 55425, Saudi Arabia)

Abstract

This article deals with a non-classical model, namely a thermoelastic laminated beam along with microtemperature effects, nonlinear delay, and nonlinear structural damping, where the last two terms both affect the equation which depicts the dynamics of slip. With the help of convenient conditions in both weight delay and wave speeds, we demonstrate explicit and general energy decay rates of the solution. To attain our interests, we highlight useful properties regarding convex functions and apply a specific approach known as the multiplier technique, which enables us to prove the stability results. Our results here aim to show the impact of different types of damping by taking into account the interaction between them, which extends recent publications in the literature.

Suggested Citation

  • Hicham Saber & Fares Yazid & Djamel Ouchenane & Fatima Siham Djeradi & Keltoum Bouhali & Abdelkader Moumen & Yousef Jawarneh & Tariq Alraqad, 2023. "Decay of a Thermoelastic Laminated Beam with Microtemperature Effects, Nonlinear Delay, and Nonlinear Structural Damping," Mathematics, MDPI, vol. 11(19), pages 1-15, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4178-:d:1254371
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