an analytical shear factor for fgm circular plates with non-uniform elastic foundations and normal and shear tractions

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.