Thermal buckling and postbuckling of CNT-reinforced composite cylindrical shell surrounded by an elastic medium with tangentially restrained edges

Abstract

Buckling and postbuckling behavior of thin composite cylindrical shells reinforced by carbon nanotubes (CNTs), surrounded by elastic media and exposed to uniform temperature rise, are investigated in this article. CNTs are reinforced into isotropic matrix phase through uniform distribution or functionally graded distributions across the thickness direction. Material properties are assumed to be temperature dependent, and effective elastic moduli of CNT-reinforced composite are determined according to extended rule of mixture. Formulations are based on the classical thin shell theory taking Von Karman–Donnell nonlinearity, surrounding elastic media and elastic constraints of boundary edges into consideration. Multi-term solutions of deflection and stress function are assumed to satisfy simply supported boundary condition, and Galerkin method is applied to obtain nonlinear relation of thermal load and deflection. An iteration algorithm is used to determine buckling temperatures and postbuckling paths. Numerical examples are given to analyze the effects of volume fraction and distribution type of CNTs, geometrical parameters, degree of tangential edge constraint, buckling mode, and surrounding elastic media on the buckling temperatures and postbuckling strength of thermally loaded nanocomposite cylindrical shells.

Nonlinear buckling behavior of functionally graded material sandwich cylindrical shells with tangentially restrained edges subjected to external pressure and thermal loadings

“…Previous investigations on FGM structures [25–29] indicated that tangential constraints of boundary edges have dramatic influences on type of buckling response and postbuckling load carrying capability of FGM plates and shells. Recent studies on FG-CNTRC structures [30–39] demonstrated impressive effects of tangential edge restraints on the nonlinear stability of nanocomposite plates and shells subjected to mechanical, thermal, and thermomechanical loads. In spite of numerous investigations on FGM structures, to the best of authors’ knowledge, there is an evident lack of studies on nonlinear stability of FGM sandwich cylindrical shells with tangentially restrained edges in the literature.…”

The recent progress of functionally graded CNT reinforced composites and structures

“…In addition, temperature dependency could be neglected for the thin plate. The thermal buckling responses of FG-CNTRC skew, quadrilateral, triangular, circular, sector, annular sector, elliptical plate [192,193], conical shells [194] and cylindrical shells [195,196] were also studied.…”

Buckling of shear deformable FG‐CNTRC cylindrical shells and toroidal shell segments under mechanical loads in thermal environments

“…Nonlinear stability of thin FG‐CNTRC CCSs under combined mechanical loads in thermal environments has been considered in work of Hieu and Tung [41] using Galerkin method. Recently, Hieu and Tung [42] analyzed the effects of tangential elasticity of edges on the buckling and post‐buckling behavior of thin FG‐CNTRC CCSs exposed to uniform temperature rise. Linear buckling analyses of FG‐CNTRC conical shells under pressure and thermal loads have been carried out in works of Kiani and coauthors [43, 44].…”

“…More recently, the combined influences of in‐plane boundary conditions and various temperature conditions on the nonlinear stability of pressure‐loaded thin FG‐CNTRC CCSs have been analyzed in work [53]. Three‐term form of the deflection and classical shell theory have been employed in the works [39, 41, 42, 52, 53] for thin shells in which transverse shear deformations are negligible. Thang et al.…”