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An Investigation into Thermal Vibrations Caused by a Moving Heat Supply on a Spinning Functionally Graded Isotropic Piezoelectric Bounded Rod

Author

Listed:
  • Ahmed E. Abouelregal

    (Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat 75911, Saudi Arabia
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Marin Marin

    (Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania)

  • Sahar M. Abusalim

    (Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat 75911, Saudi Arabia)

Abstract

By laminating piezoelectric and flexible materials, we can increase their performance. Therefore, the electrical and mechanical properties of layered piezoelectric materials subjected to electromechanical loads and heat sources must be analyzed theoretically and mechanically. Since the problem of infinite wave propagation cannot be addressed using classical thermoelasticity, extended thermoelasticity models have been derived. The thermo-mechanical response of a piezoelectric functionally graded (FG) rod due to a moveable axial heat source is considered in this paper, utilizing the dual-phase-lag (DPL) heat transfer model. It was supposed that the physical characteristics of the FG rod varied exponentially along the axis of the body. Both ends hold the rod, and there is no voltage across them. The Laplace transform and decoupling techniques were used to obtain the physical fields that have been analyzed. A range of heterogeneity, rotation, and heat source velocity measures were used to compare the results presented here and those in the previous literature.

Suggested Citation

  • Ahmed E. Abouelregal & Marin Marin & Sahar M. Abusalim, 2023. "An Investigation into Thermal Vibrations Caused by a Moving Heat Supply on a Spinning Functionally Graded Isotropic Piezoelectric Bounded Rod," Mathematics, MDPI, vol. 11(7), pages 1-17, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:7:p:1739-:d:1116414
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    References listed on IDEAS

    as
    1. Tareq Saeed, 2022. "Hybrid Finite Element Method to Thermo-Elastic Interactions in a Piezo-Thermo-Elastic Medium under a Fractional Time Derivative Model," Mathematics, MDPI, vol. 10(4), pages 1-13, February.
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