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Hygrothermal Buckling of Smart Graphene/Piezoelectric Nanocomposite Circular Plates on an Elastic Substrate via DQM

Author

Listed:
  • Mashhour A. Alazwari

    (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia)

  • Ashraf M. Zenkour

    (Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

  • Mohammed Sobhy

    (Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia
    Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt)

Abstract

This paper aims to study the hygrothermal buckling of smart graphene/piezoelectric circular nanoplates lying on an elastic medium and subjected to an external electric field. The circular nanoplates are made of piezoelectric polymer reinforced with graphene platelets that are uniformly distributed through the thickness of the nanoplate. The material properties of the nanocomposite plate are determined based on the modified Halpin-Tsai model. To capture the nanoscale effects, the nonlocal strain gradient theory is applied. Moreover, the principle of virtual work is employed to establish the nonlinear stability equations in the framework of classical theory. The differential quadrature method is utilized to solve the governing equations. Among the important aims of the paper is to study the influences of various parameters such as graphene weight fraction, elastic foundation parameters, external applied electric field, humid conditions, and boundary conditions on the thermal buckling of the smart nanocomposite circular nanoplates. It is found that the increase in graphene components and elastic foundation stiffness enhances the strength of the plates; therefore, the buckling temperature will increase.

Suggested Citation

  • Mashhour A. Alazwari & Ashraf M. Zenkour & Mohammed Sobhy, 2022. "Hygrothermal Buckling of Smart Graphene/Piezoelectric Nanocomposite Circular Plates on an Elastic Substrate via DQM," Mathematics, MDPI, vol. 10(15), pages 1-18, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2638-:d:873466
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    References listed on IDEAS

    as
    1. Cristian Napole & Oscar Barambones & Isidro Calvo & Mohamed Derbeli & Mohammed Yousri Silaa & Javier Velasco, 2020. "Advances in Tracking Control for Piezoelectric Actuators Using Fuzzy Logic and Hammerstein-Wiener Compensation," Mathematics, MDPI, vol. 8(11), pages 1-15, November.
    2. Tao Liu & Chaodong Li & Chao Wang & Joel Weijia Lai & Kang Hao Cheong, 2020. "A Simple-FSDT-Based Isogeometric Method for Piezoelectric Functionally Graded Plates," Mathematics, MDPI, vol. 8(12), pages 1-24, December.
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    Cited by:

    1. Fatemah Alsebai & Fatemah H. H. Al Mukahal & Mohammed Sobhy, 2022. "Semi-Analytical Solution for Thermo-Piezoelectric Bending of FG Porous Plates Reinforced with Graphene Platelets," Mathematics, MDPI, vol. 10(21), pages 1-30, November.
    2. Fatemah H. H. Al Mukahal, 2023. "Static Response of Nanocomposite Electromagnetic Sandwich Plates with Honeycomb Core via a Quasi 3-D Plate Theory," Mathematics, MDPI, vol. 11(9), pages 1-35, April.

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