Impact of Winkler-Pasternak foundation parameters on the buckling behavior of composite plates reinforced with FG-CNT in a parabolic distribution

The incorporation of carbon nanotubes (CNT) into a polymer matrix has opened up exciting possibilities for creating Nano-composite materials with exceptional mechanical properties. In this study, the buckling behavior of a reinforced polymer plate mixed with CNTs is investigated. Various factors, such as the plate’s shape and the elastic base, are examined for their effects on behavior. The investigation is grounded in scientific rigor, drawing upon several theories that address plate behavior. Specifically, the high-order theory, which accounts for transverse shear effects and the parabolic distribution of transverse shear stresses across the plate thickness, is employed. By analyzing the critical buckling load, the interaction between different types of carbon nanotubes within the polymer matrix and the elastic medium is explored. The model’s governing equations, derived from Hamilton’s principle, allow for the prediction of the critical loads associated with axial compression buckling. Notably, it is found that the parabolic distribution, coupled with the Winkler—Pasternak elastic foundation, renders the plate less flexible compared to scenarios without an elastic foundation. This insight leads to a crucial enhancement in the critical buckling load. The significance of incorporating carbon nanotubes in polymer matrices to achieve nanocomposite materials with exceptional properties is underscored. The scientific foundation upon which this study rests provides valuable insights for designing robust and efficient structures.