STABILITY OF FUNCTIONALLY GRADED CYLINDERS UNDER HYDROSTATICPRESSURE WITH FIXED BOUNDARY CONDITIONS RESTING ON ELASTICFOUNDATIONS
DOI:
https://doi.org/10.58225/sw.2025.2-17-23Keywords:
functionally graded material, fixed boundary conditions, cylindrical shells, stability, critical hydrostatic pressure, elastic foundationsAbstract
In this study, the buckling problem of cylindrical shells composed of functionally graded materials (FGMs) under hydrostatic pressure and resting on a Pasternak-type elastic foundation is investigated. First, the
fundamental relations of functionally graded (FG) cylindrical shells and the Pasternak elastic foundation model are mathematically formulated, and then the governing equations are derived. By seeking appropriate shape
functions satisfying fixed boundary conditions, the Galerkin procedure is applied to solve the resulting partial differential equations. An analytical expression for the dimensionless critical hydrostatic pressure (DCHP) of
FG cylindrical shells with fixed edges on a Pasternak elastic foundation is obtained. This expression is minimized with respect to the buckling mode, and the minimum values of DCHP are calculated numerically
both in the presence and absence of the elastic foundation. Considering different volume fraction indices and foundation parameters, the minimum values of DCHP are determined, followed by numerical analyses, interpretations, and generalizations.
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Copyright (c) 2025 Abdullah Sofiyev, Salim Yüce (Author)
This work is licensed under a Creative Commons Attribution 4.0 International License.
