Mechanical instabilities of nano-composite plates using elasticity theories


  • Hafid Khetir
  • Abdelmoutalib Benfrid
  • Mohamed Bachir Bouiadjra
  • Rabie Zouaoui Harrat
  • Mohammed Chatbi



Mechanical Instability Analysis, Critical Buckling Loads, Carbon Nanotubes, Volume of CNT, Distribution of CNT, First Order Shear Theory (FSDT)


This study examines the mechanical buckling behavior of a simply supported rectangular polymer plate reinforced with carbon nanotubes (CNTs) using an efficient first-order shear deformation theory (FSDT). The Hamiltonian principle derives the equilibrium equations of the nano-composite plate, while Navier solutions define the boundary conditions, creating a model to determine the critical buckling load (λcr). Various volume fractions (Vcnt = 0.11, 0.14, 0.17) and CNT distributions [uniform (UD) and functionally graded (FG-X, FG-O, FG-V)] are considered in this analysis. Model validation occurs through comparison with established scientific literature. Furthermore, the model applies to various parametric changes, such as variations in plate geometry, changes in matrix or reinforcement properties, carbon nanotube orientations, loading types (uniaxial/biaxial), and buckling modes.


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How to Cite

Khetir, H., Benfrid , A., Bouiadjra, M. B., Harrat, R. Z., & Chatbi, M. (2024). Mechanical instabilities of nano-composite plates using elasticity theories. STUDIES IN ENGINEERING AND EXACT SCIENCES, 5(2), e5409.