Buckling Analysis of Functionally Graded Shells under Mixed ‎Boundary ‎Conditions Subjected to Uniform Lateral Pressure

Abstract

In this study, the buckling problem of shells consisting of functionally graded ‎materials (FGMs) under uniform compressive lateral pressure is solved at mixed ‎boundary conditions. After creating the FGM models, the basic differential equations ‎of FGM shells under compressive lateral pressure are derived within the scope of ‎classical shell theory (CST). The basic differential equations are solved with the help ‎of Galerkin method and the formula for the lateral buckling pressure is obtained. The ‎minimum values of the lateral buckling pressure are found numerically by minimizing ‎the obtained expression according to the numbers of transverse and longitudinal ‎waves. The accuracy is confirmed by comparing the numerical values for the lateral ‎buckling pressure of homogeneous and FGM shells with the results in the literature. ‎The influences of FGM profiles and shell characteristics on the magnitudes of lateral ‎buckling pressure are investigated in detail by performing specific numerical analyzes.

Keywords

• functionally graded materials
• shells
• uniform lateral pressure
• buckling pressure
• ‎mixed boundary conditions