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Steel and Composite Structures
  Volume 48, Number 2, July 2023 , pages 191-206

Effects of micromechanical models on the dynamics of functionally graded nanoplate
Tao Hai, A. Yvaz, Mujahid Ali, Stanislav Strashnov, Mohamed Hechmi El Ouni, Mohammad Alkhedher and Arameh Eyvazian

    The present research investigates how micromechanical models affect the behavior of Functionally Graded (FG) plates under different boundary conditions. The study employs diverse micromechanical models to assess the effective material properties of a two-phase particle composite featuring a volume fraction of particles that continuously varies throughout the thickness of the plate. Specifically, the research examines the vibrational response of the plate on a Winkler-Pasternak elastic foundation, considering different boundary conditions. To achieve this, the governing differential equations and boundary conditions are derived using Hamilton's principle, which is based on a four-variable shear deformation refined plate theory. Additionally, the Galerkin method is utilized to compute the plate's natural frequencies. The study explores how the plate's natural frequencies are influenced by various micromechanical models, such as Voigt, Reuss, Hashin-Shtrikman bounds, and Tamura, as well as factors such as boundary conditions, elastic foundation parameters, length-to-thickness ratio, and aspect ratio. The research results can provide valuable insights for future analyses of FG plates with different boundaries, utilizing different micromechanical models.
Key Words
    boundary conditions; functionally graded plates; micromechanical modeling; natural frequency; WinklerPasternak foundation
Tao Hai: 1)School of Computer and Information, Qiannan Normal University for Nationalities, Duyun, Guizhou, 558000, China 2)State Key Laboratory of Public Big Data, Guizhou University, Guizhou Guiyang, 550025, China 3)Faculty of Computing, Universiti Teknologi Malaysia (UTM), UTM Skudai, Johor Bahru 81310, Johor, Malaysia

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