Buckling Behavior of Sandwich Cylindrical Shells Covered by Functionally Graded Coatings with Clamped Boundary Conditions under Hydrostatic Pressure

Abstract

The buckling behavior of sandwich shells with functionally graded (FG) coatings operating under different external pressures was generally investigated under simply supported boundary conditions. Since it is very difficult to determine the approximation functions satisfying clamped boundary conditions and to solve the basic equations analytically within the framework of first order shear deformation theory (FOST), the number of publications on this subject is very limited. An analytical solution to the buckling problem of FG-coated cylindrical shells under clamped boundary conditions subjected to uniform hydrostatic pressure within the FOST framework is presented for the first time. By mathematical modeling of the FG coatings, the constitutive relations and basic equations of sandwich cylindrical shells within the FOST framework are obtained. Analytical solutions of the basic equations in the framework of the Donnell shell theory, obtained using the Galerkin method, is carried out using new approximation functions that satisfy clamped boundary conditions. Finally, the influences of FG models and volume fractions on the hydrostatic buckling pressure within the FOST and classical shell theory (CT) frameworks are investigated in detail.

Application of the Variational Method to the Large Deformation Problem of Thin Cylindrical Shells with Different Moduli in Tension and Compression

“…For a prestressed cylindrical shell with various structural parameters, the experimental work of the stress state was presented [ 28 ]. For sandwich shells with functionally graded coatings while operating under different external pressures, its buckling behavior was generally investigated under simply supported boundary conditions [ 29 ]. In the existing analyses of cylindrical shells, however, few works have been found on the large deformation problems of cylindrical shells, especially on the bimodular effect of materials mentioned in this study.…”

Stability Analysis of Shear Deformable Inhomogeneous Nanocomposite Cylindrical Shells under Hydrostatic Pressure in Thermal Environment

“…Shahmohammadi et al [ 35 ] studied the nonlinear thermo-mechanical static analysis of toroidal shells made of nanocomposite/fiber-reinforced composite plies surrounded by an elastic medium. Sofiyev et al [ 36 ] investigated the buckling behavior of sandwich cylindrical shells covered by functionally graded coatings with clamped boundary conditions under hydrostatic pressure. Sun et al [ 37 ] examined the postbuckling analysis of GPL-reinforced porous cylindrical shells under axial compression and hydrostatic pressure.…”