AIMS Mathematics (Sep 2023)

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

  • Fatima Siham Djeradi ,
  • Fares Yazid,
  • Svetlin G. Georgiev,
  • Zayd Hajjej ,
  • Khaled Zennir

DOI
https://doi.org/10.3934/math.20231330
Journal volume & issue
Vol. 8, no. 11
pp. 26096 – 26114

Abstract

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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