Mathematics, Journal Year: 2025, Volume and Issue: 13(9), P. 1518 - 1518

Published: May 5, 2025

Dynamic post-buckling behavior of microscale cylindrical shells reinforced with functionally graded carbon nanotubes (FG-CNTs) and conveying microfluid is discussed for the first time. The microshell embedded in a Kerr foundation subjected to an axial compressive load two-dimensional magnetic field effect. CNTs dispersion across shell thickness follows power law, five distribution types developed. modified couple stress theory applied incorporate small-size effect using single material parameter. Furthermore, Knudsen number used address on microfluid. external force between fluid modeled by applying Navier–Stokes equation depending velocity. Nonlinear motion equations present model are derived Hamilton’s principle, containing Lorentz force. According Galerkin method, transformed into algebraic system be solved, determining paths. Numerical results indicate that presence field, CNT reinforcement, flow improves load-bearing performance microshells. Also, many new parametric effects curves FG-CNT microshells have been discovered, including geometry, direction, length scale parameter, number, types.

Language: Английский