Thermal stability analysis of cylindrical shell reinforced with GPL graphene sheets using differential squares method

In the current paper thermal buckling of cylindrical shells reinforced with GPL graphene sheets subjected to uniform temperature rise is investigated. Nanocomposite shell reinforced by graphene platelets (GPLs). It is assumed that the GPLs are randomly oriented and uniformly distributed along in each layer. Variation of volume fraction from each layer to other is based on the several functionally graded types. The effective material properties are obtained using the Halpin-Tsai rule. The equilibrium equations are obtained considering the first order shear deformation shell theory, Donnell assumption, and Von-karman type of geometrical nonlinearity. The linear obtained stability equations are discrete utilizing the generalized differential quadrature procedure along the shell domain. Then the eigenvalue problem is solved and critical buckling temperature is calculated. In the section of numerical results, after validation, the effects of geometric parameter, boundary conditions, mass fraction of GPL, and also type of functionally graded on the stability of structure are studied.