Mathematical Modeling and Analytical Solution of Thermoelastic Stability Problem of Functionally Graded Nanocomposite Cylinders within Different Theories

Revolutionary advances in technology have led to the use of functionally graded nanocomposite structural elements that operate at high temperatures and whose properties depend on position, such as cylindrical shells designed load-bearing elements. These require new mathematical modeling updated numerical calculations be performed using improved theories design time reliably apply The main goal this study is model, mathematically within an analytical solution, thermoelastic stability problem composite cylinders reinforced by carbon nanotubes (CNTs) under a uniform thermal loading shear deformation theory (ST). influence transverse deformations considered when forming fundamental relations CNT-patterned basic partial differential equations (PDEs) are derived modified Donnell-type shell theory. PDEs solved Galerkin method, formula found for eigenvalue (critical temperature) shells. influences CNT patterns, volume fraction, geometric parameters critical temperature ST estimated comparing results classical (CT).