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Publications
Li, MZ., Guedes Soares, C. and Yan, RJ. (2020), “A novel shear deformation theory for static analysis of functionally graded plates”, Composite Structures, Vol. 250, pp. 112559 (12 pages)
A new generalized 5-variable shear deformation theory is proposed to calculate the static response of functionally graded plates. A small exponential perturbation based on shape parameter m is added to the classical trigonometric shear strain shape function, which makes a better optimum-closed distribution of the transverse shear stress in thickness direction. The present shear strain shape function satisfies stress-free condition at top and bottom surfaces without using any transverse shear correction factors. The governing equations and boundary conditions are derived from the Hamilton principle, and the closed form solutions of Navier-type under simply supported boundary conditions are obtained. The accuracy of the proposed theory is verified by comparing the results of numerical examples with the other existing 2D and quasi-3D solutions. The effect of gradient index, side-to-thickness ratio and aspect ratio on the static response is also studied.
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