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Wave Dispersion Analysis of Functionally Graded GPLs-Reinforced Sandwich Piezoelectromagnetic Plates with a Honeycomb Core

Author

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  • 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)

  • Fatemah H. H. Al Mukahal

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

Abstract

This paper studies wave propagation in a new structure composed of three layers. The upper and lower layers are made of a piezoelectromagnetic material reinforced with graphene platelets (GPLs) that may be uniformly disseminated or continuously varied throughout the thickness of the layers. To produce a lighter plate, the core layer is assumed to comprise honeycomb structures. The smart nanocomposite plate is exposed to external electric and magnetic potentials. The effective elastic modulus of the face layers of the sandwich plate is evaluated based on Halpin-Tsai model. Whereas, the mixture rule is utilized to calculate mass density, Poisson’s ratio and electric and magnetic properties of both upper and lower layers of the sandwich plate. The governing motion equations of the lightweight sandwich plate are obtained by refined higher-order shear deformation plate theory and Hamilton’s principle. These equations are solved analytically to obtain wave dispersion relations. Impacts of the geometry of plates, GPLs weight fraction, GPLs distribution patterns, piezoelectric properties, external electric voltage and external magnetic potential on the wave frequency and phase velocity of the GPLs lightweight plates are discussed in detail.

Suggested Citation

  • Mohammed Sobhy & Fatemah H. H. Al Mukahal, 2022. "Wave Dispersion Analysis of Functionally Graded GPLs-Reinforced Sandwich Piezoelectromagnetic Plates with a Honeycomb Core," Mathematics, MDPI, vol. 10(17), pages 1-22, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:17:p:3207-:d:907137
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    References listed on IDEAS

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    1. Wu, Shuai & Luk, P.C.K. & Li, Chunfang & Zhao, Xiangyu & Jiao, Zongxia & Shang, Yaoxing, 2017. "An electromagnetic wearable 3-DoF resonance human body motion energy harvester using ferrofluid as a lubricant," Applied Energy, Elsevier, vol. 197(C), pages 364-374.
    2. Siyu Liu & Aiwen Wang & Wei Li & Hongyan Chen & Yufen Xie & Dongmei Wang, 2022. "Nonlinear Transient Dynamics of Graphene Nanoplatelets Reinforced Pipes Conveying Fluid under Blast Loads and Thermal Environment," Mathematics, MDPI, vol. 10(13), pages 1-15, July.
    3. Junhua Zhang & Zhaochen Yan & Lili Xia, 2021. "Vibration and Flutter of a Honeycomb Sandwich Plate with Zero Poisson’s Ratio," Mathematics, MDPI, vol. 9(19), pages 1-16, October.
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    Cited by:

    1. 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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