Effect of Exponential Stress Resultant on Buckling Response of Functionally Graded Rectangular Plates

Document Type : Original Research Paper


Mechanical Engineering Department, Faculty of Engineering, Arak University, Arak, Iran.


The effect of exponential stress resultant on buckling response of functionally graded rectangular plates based on exponential shear deformation theory is investigated in this paper. In exponential shear deformation theory, exponential functions are used in terms of thickness coordinate to include the effect of the transverse shear deformation and rotary inertia. The material properties of the functionally graded plate are assumed to vary according to a power low form according to the thickness direction. The equations of motions are derived based on Hamiltons principle. To validate the formulations, present results in specific cases are compared with available results in literature and good agreement could be seen. Finally, the influence of different parameters like power law indexes, aspect ratio, and the thickness ratio on the non-dimensional critical buckling load of rectangular FG plates are presented and discussed in detail.


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