<p>This research paper presents a comprehensive study on the static, buckling, and free vibration behavior of carbon nanotube-reinforced composite (CNTRC) plates resting on Pasternak’s elastic foundation. The composite plates are fabricated with functionally and uniformly distributed carbon nanotubes (FG-X, FG-O, FG-V, and UD), aiming to explore their influence on the mechanical properties of the CNTRC plate. To accurately model the deformation behavior of the plates, a nonpolynomial shear deformation theory based on the secant function is adopted. The finite element method (FEM) is employed as a numerical solution methodology for analyzing CNTRC plates, providing a rigorous approach to investigate the complex behavior of these plates. To enhance computational efficiency without compromising accuracy, a modification is made to the continuity conditions, transitioning from C<sup>1</sup> to C<sup>0</sup>, by introducing additional degrees of freedom to the system. The study investigates the static response, buckling characteristics, and free vibration frequencies of the CNTRC plates under different parametric conditions. The influence of varying carbon nanotube distributions on the mechanical behavior of the plates is systematically analyzed and discussed. The findings of this research offer valuable insights into the design and optimization of CNT-reinforced composite structures for various engineering applications.</p>

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Exploring Mechanical Behavior of Carbon Nanotube-Reinforced Composite Plates on Pasternak’s Elastic Foundation: A Nonpolynomial Shear Deformation Approach

  • S. D. Singh,
  • R. Sahoo

摘要

This research paper presents a comprehensive study on the static, buckling, and free vibration behavior of carbon nanotube-reinforced composite (CNTRC) plates resting on Pasternak’s elastic foundation. The composite plates are fabricated with functionally and uniformly distributed carbon nanotubes (FG-X, FG-O, FG-V, and UD), aiming to explore their influence on the mechanical properties of the CNTRC plate. To accurately model the deformation behavior of the plates, a nonpolynomial shear deformation theory based on the secant function is adopted. The finite element method (FEM) is employed as a numerical solution methodology for analyzing CNTRC plates, providing a rigorous approach to investigate the complex behavior of these plates. To enhance computational efficiency without compromising accuracy, a modification is made to the continuity conditions, transitioning from C1 to C0, by introducing additional degrees of freedom to the system. The study investigates the static response, buckling characteristics, and free vibration frequencies of the CNTRC plates under different parametric conditions. The influence of varying carbon nanotube distributions on the mechanical behavior of the plates is systematically analyzed and discussed. The findings of this research offer valuable insights into the design and optimization of CNT-reinforced composite structures for various engineering applications.