Nonlinear stability of CNT-reinforced composite cylindrical panels with elastically restrained straight edges under combined thermomechanical loading conditions

Abstract

This article investigates the nonlinear stability of composite cylindrical panels (CPs) reinforced by carbon nanotubes (CNTs), resting on elastic foundations and subjected to combined thermomechanical loading conditions. CNTs are embedded into matrix phase through uniform distribution or functionally graded distribution. Material properties of constituents are assumed to be temperature dependent and effective elastic moduli of carbon nanotube–reinforced composite are estimated by the extended rule of mixture. Nonlinear governing equations of geometrically imperfect panels are based on first-order shear deformation theory accounting for elastic foundations and tangential constraint of straight edges. Analytical solutions are assumed to satisfy simply supported boundary conditions and closed-form expressions relating load and deflection are derived through Galerkin method. Numerical examples show the effects of preexisting nondestabilizing loads, distribution patterns, panel curvature, in-plane condition of unloaded edges, thermal environments, initial imperfection, and elastic foundations on the nonlinear stability of nanocomposite CPs under combined loading conditions.

Buckling and postbuckling of CNT-reinforced composite sandwich cylindrical panels subjected to axial compression in thermal environments

“…and α m have been given in many previous works on CNTRC structures, for examples [5,[10][11][12][13][14][15][23][24][25][26][27][28][29][30][31][32][33], and are omitted here for the sake of brevity.…”

“…Using asymptotic solutions and a perturbation technique, Shen and his collaborator [22][23][24][25] presented the results of postbuckling analyses for FG-CNTRC cylindrical panels subjected to mechanical and thermal loading conditions. Based on an analytical approach, Tung and Trang [26][27][28] examined the nonlinear stability of FG-CNTRC cylindrical panels under mechanical and thermomechanical loads.…”

“…where coefficients a i2 (i = 1 ÷ 7) can be found in the work [28]. The CNTRC sandwich cylindrical panel is assumed to be freely simply supported at all edges and subjected to axial compressive pressure P x uniformly distributed on curved edges.…”

“…2 are coefficients to be determined. By substituting solutions (16) into the compatibility equation (14) and two among five equilibrium equations, then following procedure described in the works [19,28,35], the coefficients A i , B j are determined as…”

“…where coefficients A * 3 , B * 1 and B * 2 have their forms as in the work [28]. Now, introduction of the solutions (16) into equilibrium equation (11) and applying Galerkin method to the resulting equation lead to the following relation…”