Bending Behaviour Of Exponentially Graded Material Plates Using New Higher Order Shear Deformation Theory with Stretching Effect

In the present paper, a new shear strain shape function is proposed to study the static analysis of exponentially graded material plates (EGMPs). This theory satisfies the zero transverse shear stress conditions on the top and bottom surface of the plates. The modulus of elasticity is assumed to vary exponentially through the thickness direction. The governing differential equations and boundary conditions are derived by employing the Hamilton's principle. Navier type closed-form solutions are obtained for EGMPs subjected to bi-sinusoidal mechanical loads for simply supported boundary conditions. The accuracy of the present results is established by comparing those with 3-D elasticity solutions and with well known trigonometric shear deformation theory. From the present results, it can be concluded that the proposed theory is accurate and efficient in predicting the static bending behaviour of exponentially graded material plates.