buckling analysis of functionally graded shells under mixed ‎boundary ‎conditions subjected to uniform lateral pressure

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.