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Nonlinear Analysis of the Multi-Layered Nanoplates

Author

Listed:
  • Mostafa Sadeghian

    (Faculty of Mechanical Engineering and Design, Kaunas University of Technology, Studentu 56, 51424 Kaunas, Lithuania)

  • Arvydas Palevicius

    (Faculty of Mechanical Engineering and Design, Kaunas University of Technology, Studentu 56, 51424 Kaunas, Lithuania)

  • Paulius Griskevicius

    (Faculty of Mechanical Engineering and Design, Kaunas University of Technology, Studentu 56, 51424 Kaunas, Lithuania)

  • Giedrius Janusas

    (Faculty of Mechanical Engineering and Design, Kaunas University of Technology, Studentu 56, 51424 Kaunas, Lithuania)

Abstract

This text investigates the bending/buckling behavior of multi-layer asymmetric/symmetric annular and circular graphene plates through the application of the nonlocal strain gradient model. Additionally, the static analysis of multi-sector nanoplates is addressed. By considering the van der Waals interactions among the layers, the higher-order shear deformation theory (HSDT), and the nonlocal strain gradient theory, the equilibrium equations are formulated in terms of generalized displacements and rotations. The mathematical nonlinear equations are solved utilizing either the semi-analytical polynomial method (SAPM) and the differential quadrature method (DQM). Also, the available references are used to validate the results. Investigations are conducted to examine the effect of small-scale factors, the van der Waals interaction value among the layers, boundary conditions, and geometric factors.

Suggested Citation

  • Mostafa Sadeghian & Arvydas Palevicius & Paulius Griskevicius & Giedrius Janusas, 2024. "Nonlinear Analysis of the Multi-Layered Nanoplates," Mathematics, MDPI, vol. 12(22), pages 1-19, November.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:22:p:3545-:d:1520111
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    References listed on IDEAS

    as
    1. Yongjun Tian & Bo Xu & Dongli Yu & Yanming Ma & Yanbin Wang & Yingbing Jiang & Wentao Hu & Chengchun Tang & Yufei Gao & Kun Luo & Zhisheng Zhao & Li-Min Wang & Bin Wen & Julong He & Zhongyuan Liu, 2013. "Ultrahard nanotwinned cubic boron nitride," Nature, Nature, vol. 493(7432), pages 385-388, January.
    2. Mostafa Sadeghian & Asif Jamil & Arvydas Palevicius & Giedrius Janusas & Vytenis Naginevicius, 2024. "The Nonlinear Bending of Sector Nanoplate via Higher-Order Shear Deformation Theory and Nonlocal Strain Gradient Theory," Mathematics, MDPI, vol. 12(8), pages 1-16, April.
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