Thermal postbuckling of shear deformable CNT-reinforced composite plates with tangentially restrained edges and temperature-dependent properties

Abstract

Buckling and postbuckling behaviors of moderately thick composite plates reinforced by single-walled carbon nanotubes (SWCNTs), rested on elastic foundations and subjected to two types of thermal loading are investigated in this article. Carbon nanotubes (CNTs) are reinforced into isotropic polymer matrix according to functional rules in which volume fractions of constituents are graded in the thickness direction. Material properties of constituents are assumed to be temperature-dependent and effective properties of nanocomposite are estimated by extended rule of mixture. Formulations are based on first-order shear deformation theory taking von Karman nonlinearity, initial geometrical imperfection, tangential constraints of edges, and two-parameter elastic foundation into consideration. Approximate solutions are assumed to satisfy simply supported boundary conditions and Galerkin method is applied to derive nonlinear temperature–deflection relations from which buckling temperatures and postbuckling equilibrium paths are determined by an iteration algorithm. Novel findings of the present study are that deteriorative influences of temperature-dependent properties on the postbuckling behavior become more serious as plate edges are partially movable, CNT volume fraction is higher, elastic foundations are stiffer, plates are thicker, and/or temperature linearly changed across the thickness.

Thermal postbuckling analysis of FG-CNTRC doubly curved panels with elastically restrained edges using Reddy's higher order shear deformation theory

“…In numerical results, CNT efficiency parameters are chosen as those given in the works [5, 9, 11], specifically, (η 1 , η 2 , η 3 ) = (0.137, 1.022, 0.715) for the case of V * CNT = 0.12, (η 1 , η 2 , η 3 ) = (0.142, 1.626, 1.138) for the case of V * CNT = 0.17, and (η 1 , η 2 , η 3 ) = (0.141, 1.585, 1.109) for the case of V * CNT = 0.28. To measure degree of tangential edge constraints more conveniently, non-dimensional tangential stiffness parameters are defined as follows [16,17,26,32]…”

“…Following a similar approach, Kiani [14,15] also examined the postbuckling of FG-CNTRC plates and sandwich plates with FG-CNTRC face sheets under uniform temperature rise. Thermal buckling and postbuckling behaviors of thin and moderately thick FG-CNTRC plates have been treated in works [16,17] using an analytical method. Long and Tung [18,19] investigated thermal postbuckling of two sandwich plate models comprising isotropic and FG-CNTRC layers subjected to uniform temperature rise without and with preexisting axial compression.…”

Thermal postbuckling behavior of CNT-reinforced composite sandwich plate models resting on elastic foundations with tangentially restrained edges and temperature-dependent properties

“…Based on the first-order shear deformation theory (FSDT) and elementfree improved moving least-squares Ritz method, Zhang et al [67][68][69] presented results of geometrically nonlinear, free vibration, and compressive postbuckling analyses for FG-CNTRC plates with edges elastically restrained against translation and rotation. Recently, Tung and Trang 44,[70][71][72][73][74] considered the effects of tangential edge constraints on the nonlinear stability of FG-CNTRC plates and cylindrical panels resting on elastic foundations and subjected to thermal, mechanical, and thermomechanical loadings. More recently, Hieu and Tung 75 analyzed the effects of tangential edge constraints on the thermomechanical nonlinear buckling behavior of FG-CNTRC toroidal shell segments.…”

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

“…Linear buckling of FG-CNTRC plates under mechanical and thermal loads has been dealt with in works of Kiani and coauthor [10][11][12][13] employing Ritz method. Based on some approaches, postbuckling behavior of FG-CNTRC plates have been addressed in works [14][15][16][17][18][19].…”

“…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…”