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Bending and Buckling of FG-GRNC Laminated Plates via Quasi-3D Nonlocal Strain Gradient Theory

Author

Listed:
  • Emad E. Ghandourah

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

  • Ahmed A. Daikh

    (Department of Technology, University Centre of Naama, Naama 45000, Algeria
    Laboratoire d’Etude des Structures et de Mécanique des Matériaux, Département de Génie Civil, Faculté des Sciences et de la Technologie, Université Mustapha Stambouli, Mascara 29000, Algerie)

  • Abdulsalam M. Alhawsawi

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

  • Othman A. Fallatah

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

  • Mohamed A. Eltaher

    (Mechanical Design & Production Department, Faculty of Engineering, Zagazig University, Zagazig 44519, Egypt
    Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia)

Abstract

To improve the structural stiffness, strength and reduce the weight of nanoplate structure, functionally graded (FG) graphene-reinforced nanocomposite (GRNC) laminated plates are exploited in this paper. The bending and buckling behaviors of FG-GRNC laminated nanoplates are investigated by using novel quasi-3D hyperbolic higher order shear deformation plate theory in conjunction with modified continuum nonlocal strain gradient theory, which considered both length and material scale parameters. The modified model of Halpin–Tsai is employed to calculate the effective Young’s modulus of the GRNC plate along the thickness direction, and Poisson’s ratio and mass density are computed by using the rule of mixture. An analytical approach of the Galerkin method is developed to solve governing equilibrium equations of the GRNC nanoplate and obtain closed-form solutions for bending deflection, stress distributions and critical buckling loads. A detailed parametric analysis is carried out to highlight influences of length scale parameter (nonlocal), material scale parameter (gradient), distribution pattern, the GPL weight fraction, thickness stretching, geometry and size of GPLs, geometry of the plate and the total number of layers on the stresses, deformation and critical buckling loads. Some details are studied exclusively for the first time, such as stresses and nonlocality effect.

Suggested Citation

  • Emad E. Ghandourah & Ahmed A. Daikh & Abdulsalam M. Alhawsawi & Othman A. Fallatah & Mohamed A. Eltaher, 2022. "Bending and Buckling of FG-GRNC Laminated Plates via Quasi-3D Nonlocal Strain Gradient Theory," Mathematics, MDPI, vol. 10(8), pages 1-37, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:8:p:1321-:d:794892
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    References listed on IDEAS

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    1. Ammar Melaibari & Ahmed Amine Daikh & Muhammad Basha & Ahmed Wagih & Ramzi Othman & Khalid H. Almitani & Mostafa A. Hamed & Alaa Abdelrahman & Mohamed A. Eltaher, 2022. "A Dynamic Analysis of Randomly Oriented Functionally Graded Carbon Nanotubes/Fiber-Reinforced Composite Laminated Shells with Different Geometries," Mathematics, MDPI, vol. 10(3), pages 1-24, January.
    2. Eltaher, Mohamed A. & Mohamed, Nazira, 2020. "Nonlinear stability and vibration of imperfect CNTs by Doublet mechanics," Applied Mathematics and Computation, Elsevier, vol. 382(C).
    3. Mohammad Hossein Bayati Chaleshtari & Mohammad Jafari & Hadi Khoramishad & Eduard-Marius Craciun, 2021. "Mutual Influence of Geometric Parameters and Mechanical Properties on Thermal Stresses in Composite Laminated Plates with Rectangular Holes," Mathematics, MDPI, vol. 9(4), pages 1-15, February.
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    Cited by:

    1. Gamal S. Abdelhaffez & Ahmed Amine Daikh & Hussein A. Saleem & Mohamed A. Eltaher, 2023. "Buckling of Coated Functionally Graded Spherical Nanoshells Rested on Orthotropic Elastic Medium," Mathematics, MDPI, vol. 11(2), pages 1-25, January.

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