Nonlinear Stability of Sandwich Functionally Graded Cylindrical Shells with Stiffeners Under Axial Compression in Thermal Environment

Abstract

The geometrically nonlinear response of sandwich functionally graded cylindrical shells reinforced by orthogonal and/or spiral stiffeners and subjected to axial compressive loads is investigated in this paper. Two types of sandwich functionally graded material models are considered. The formulations are based on the Donnell shell theory considering geometrical nonlinearity and Pasternak’s elastic foundation. The improved Lekhnitskii’s smeared stiffener technique is used to account for the stiffener effects with both mechanical and thermal stresses. The results obtained indicate that the spiral stiffeners have significantly beneficial influences in comparison with orthogonal stiffeners on the nonlinear buckling behavior of shells. The relatively large effects of temperature change, geometrical and material parameters are also demonstrated in the numerical investigations.

Dynamic Instability of Carbon Nanotubes/Fiber/Polymer Multiscale Composite Spherical Shells with Delamination Around a Cutout

“…The boundaries of the dynamic instability were presented using the solution having period T and 2T . The solution can be expressed in the trigonometric series as [28][29][30][31] ÁðtÞ ¼…”

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

“…The thermo-mechanical buckling and postbuckling responses and vibration of cylindrical shells made from functionally graded material (FGM) were presented by many publications. [1][2][3][4][5][6][7][8][9][10][11][12] The mechanical buckling behavior by using thin and moderately thick FGM cylindrical shells was mentioned with and without the geometrical nonlinearities. [1][2][3] The thermal buckling behavior of FGM and FGM coatings cylindrical shells was investigated by different methods.…”

“…[6][7][8][9] Effects of spiral and orthogonal stiffeners on the nonlinear large deflection buckling of FGM cylindrical thin shells were sufficiently investigated with uniformly distributed temperatures. [10][11][12] A new excellently reinforced material of composite technology is carbon nanotube (CNT) with dimensions in the nanometer range. Its outstanding thermo-mechanical properties are expected to be useful in the technology of material sciences.…”

Nonlinear Buckling Behavior of Spiral Corrugated Sandwich FGM Cylindrical Shells Surrounded by an Elastic Medium

“…Furthermore, Dung and Hoa [16] studied the nonlinear buckling of FGM cylindrical shells reinforced by FGM stiffeners in longitudinal and circumferential directions and subjected to radial loads. By improving the smeared stiffener technique for spiral stiffeners, the nonlinear thermomechanical buckling and postbuckling behavior of FGM, sandwich FGM, and multilayer FGM cylindrical shells stiffened by FGM or isotropic spiral stiffeners subjected to various loading conditions was studied by Nam et al [17][18][19] and Phuong et al [20,21]. Based on the FSDT, Esmaeili et al [22] discussed the nonlinear axisymmetric vibration behavior of shear deformable FGM cylindrical shells under rapid heating on the ceramic-rich surface, while a constant temperature was applied for the metal-rich surface.…”