Thermomechanical postbuckling of pressure‐loaded CNT‐reinforced composite cylindrical shells under tangential edge constraints and various temperature conditions

Abstract

Buckling and postbuckling behavior of carbon nanotube‐reinforced composite (CNTRC) cylindrical shells with tangentially restrained edges exposed to preexisting temperature conditions and subjected to uniform external pressure are presented in this analytical study. Three temperature conditions considered are that uniform temperature rise, through‐the‐thickness temperature gradient, and in‐plane linear temperature distribution. Carbon nanotubes (CNTs) are reinforced into matrix phase through uniform or functionally graded distributions. The properties of CNTs and matrix are assumed to be temperature‐dependent and effective moduli of CNTRC are determined according to extended rule of mixture. Governing equations are based on the classical shell theory taking into account Von Karman‐Donnell nonlinearity and elasticity of tangential constraints of edges. Multi‐term solutions of deflection and stress function are assumed to satisfy simply supported boundary conditions and Galerkin method is applied to derive closed‐form expression of nonlinear pressure‐deflection relation from which critical buckling pressures and postbuckling paths are determined. A variety of numerical examples are given and interesting remarks are achieved. Due to practical situations of boundary edges and various temperature conditions, this paper aims to analyze separate and combined influences of tangential edge constraints and preexisting temperatures on thermomechanical postbuckling behavior of pressure‐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.…”

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

“…The linear and nonlinear behavior of cylindrical shell made of other advanced composites has been published by many authors in recent years, however, the researches on the stiffened GRC cylindrical shells are still very limited. Thermomechanical postbuckling and vibration analysis of carbon nanotube‐reinforced composite cylindrical shells were studied by Hieu and Tung [ 29 ] and Baharali and Yazdi. [ 30 ] Additionally, the mechanical behavior of carbon nanotube‐reinforced composite and graphene‐reinforced composite conical shell was also studied by Hajmohammad.…”

An analytical approach to the nonlinear buckling behavior of axially compressed auxetic-core cylindrical shells with carbon nanotube-reinforced coatings

“…By using the Galerkin method, the buckling and postbuckling behavior of CNT-reinforced cylindrical shells under axial compression, external pressure and thermal load was investigated. [15][16][17][18] Vibration responses of CNTreinforced cylindrical shells were also investigated [19][20][21][22] by different methods with the temperature-dependent material properties, 19 with the uniformly distributed temperature, 20 with hybrid laminated structures, 21 and with viscoelastic foundation-shell interaction. 22 The dynamic seismic responses of CNT-reinforced cylindrical shells considering the viscoelastic effects in moisture 23 or hygrothermal 24 environments were performed.…”