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

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 conditio...

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Bibliographic Details
Published in:Materials 2022-12, Vol.15 (23), p.8680
Main Authors: Sofiyev, Abdullah H, Fantuzzi, Nicholas, Ipek, Cengiz, Tekin, Gülçin
Format: Article
Language:English
Subjects:
Approximation
Boundary conditions
Buckling
Clamping
Coatings
Composite materials
Constitutive relationships
Cylindrical shells
Deformation
Eigenvalues
Exact solutions
External pressure
Functionally gradient materials
Galerkin method
Hydrostatic pressure
Investigations
Mathematical models
Microelectromechanical systems
Powder metallurgy
Shear deformation
Shell theory
Shells
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Summary: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.
ISSN:1996-1944
1996-1944
DOI:10.3390/ma15238680