Nonlinear torsional buckling of functionally graded graphene‐reinforced composite (FG‐GRC) laminated cylindrical shells stiffened by FG‐GRC laminated stiffeners in thermal environment

Abstract

The main aim of this article is to establish an analytical approach on the torsional postbuckling for functionally graded graphene‐reinforced composite (FG‐GRC) laminated circular cylindrical shells stiffened by FG‐GRC laminated stiffener system in thermal environment and subjected to torsion loads. The polymer matrixes of shell skin and stiffeners are reinforced by graphene with two graphene reinforcement directions, namely, zigzag and armchair directions. The anisotropic smeared stiffener technique for FG‐GRC stiffener system is used, and the governing equations are established based on the Donnell shell theory with von Kármán–Donnell‐type geometrical nonlinearity and the Airy's stress function. A three‐state solution of deflection is chosen and Galerkin's method is applied, the explicit forms of critical buckling torsion and expression of load‐deflection postbuckling curves relation are obtained. The effects of graphene‐reinforced composite laminated stiffeners, uniformly distributed temperature, the volume fraction of graphene of stiffened shell on the nonlinear torsional buckling behavior are numerically investigated.

A new analytical approach to the nonlinear buckling and postbuckling behavior of functionally graded graphene reinforced composite laminated cylindrical, parabolic, and half‐sinusoid shallow imperfect panels

“…37,38 A homogeneous technique was developed for FG-GRC structures stiffened by FG-GRC higher-order shear deformable stiffeners, and the buckling and postbuckling behavior of plates, cylindrical panels, and cylindrical shells under axial compression, external pressure, and combined loads was studied. [39][40][41][42][43] Despite several investigations on FG-GRC laminated cylindrical panels subjected to various types of loads in a thermal environment, there has been no study on FG-GRC parabolic or half-sinusoid panels. Therefore, this paper presents and investigates three types of FG-GRC panels (parabolic panel, half-sinusoid panel, and cylindrical panel) on a nonlinear elastic foundation subjected to axial compressive loads in the thermal environment.…”

“…Based on the NURBS formulation, thermal buckling and vibration of FG‐GRC higher‐order shear deformable plates were studied 37,38 . A homogeneous technique was developed for FG‐GRC structures stiffened by FG‐GRC higher‐order shear deformable stiffeners, and the buckling and postbuckling behavior of plates, cylindrical panels, and cylindrical shells under axial compression, external pressure, and combined loads was studied 39–43 …”