Free vibration and buckling characteristics of temperature dependent FGCNT reinforced plates in finite element framework of a non-polynomial axiomatic approach

• Lalit Kumar Sharma ^[1] ; Neeraj Grover ^[1] ; Gagandeep Bhardwaj ^[1]
  1. [1] Thapar Institute of Engineering and Technology

     Thapar Institute of Engineering and Technology

     India

     
• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 53, Nº. 4, 2025, págs. 2920-2942
• Idioma: inglés
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• Resumen

  • In the present work, a generalized finite element formulation is established and implemented for the free vibration and buckling characteristics for temperature dependent carbon nanotube (CNT) reinforced plate. The uniform and functionally graded distribution of CNT is assumed in the plate and the plate is modeled in non-polynomial axiomatic framework. The extended rule of mixture is employed for computing the equivalent material parameters which are temperature dependent. Further, an eight-noded C0 continuous element with seven degree of freedom is adopted for discretization of the plate domain. The convergence and comparison studies are carried out to ensure the accuracy and effectiveness of the proposed formulation. As temperature conditions significantly influence structures integrity, on that account, thorough parametric studies are performed to examine the influence of volume fraction (VCNT), span to thickness ratio (�/ℎ), CNT distribution and boundary conditions on the FG-CNTR plate for the different temperature conditions. The results demonstrate that the efficient use of CNT distribution and boundary conditions can consequently improve free vibration and buckling characteristics of the temperature dependent FG-CNTR plates.