%0 Journal Article %T An Analytical Shear Factor for FGM Circular Plates with Non-uniform Elastic Foundations and Normal and Shear Tractions %J Iranian Journal of Mechanical Engineering Transactions of the ISME %I Iranian Society of Mechanical Engineering %Z 1605-9727 %A Shariyat, M. %A Alipour, M. M. %D 2013 %\ 09/01/2013 %V 14 %N 2 %P 50-72 %! An Analytical Shear Factor for FGM Circular Plates with Non-uniform Elastic Foundations and Normal and Shear Tractions %K shear correction factor %K circular functionally graded plate %K non-uniform tractions %K Vibration %K Stress %K non-uniform elastic foundation %R %X 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.  %U https://jmee.isme.ir/article_15005_27ba410b138801300b78207974b9d698.pdf