Effect of Non-ideal Boundary Conditions on Buckling of Rectangular Functionally Graded Plates

Document Type : Research Paper


1 Department of Mechanical Engineering, Islamic Azad University, Arak Branch

2 Faculty of Engineering, Islamic Azad University, Khomein Branch


We have solved the governing equations for the buckling of rectangular functionally graded plates which one of its edges has small non-zero deflection and moment. For the case that the material properties obey a power law in the thickness direction, an analytical solution is obtained using the perturbation series. The applied in-plane load is assumed to be perpendicular to the edge which has non-ideal boundary conditions. Making use of the Linshtead-Poincare perturbation technique, the critical buckling loads are obtained. The results were then verified with the known data in the literature.


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