An Analytical Shear Factor for FGM Circular Plates with Non-uniform Elastic Foundations and Normal and Shear Tractions

Document Type : Research Paper


1 Associate Professor, Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, IRAN

2 Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Pardis Street, MolaSadra Avenue, Vanak Square, Tehran, Iran


The available shear correction factors have mainly been developed for homogeneous isotropic plates and/or assuming that no shear tractions are imposed on the top and bottom surfaces of the plate. In the present research, a more general case of a circular functionally graded plate subjected to non-uniform normal and shear tractions at the top and bottom surfaces is considered. These non-uniform tractions may stem from the imposed non-uniform inclined tractions at the top surface and resting on the non-uniform Winkler-Pasternak elastic foundations. Instead of using the approximate numerical methods, the solutions are derived using a pure analytical method. In this regard, influences of the proposed analytical correction factor are evaluated on results of both the modal and the stress analyses. 


Main Subjects

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