Abstract
A bending theory, including the effects of transverse shear deformation, was developed by Reissner and Mindlin. Reissner's and Mindlin's theories are utilized to formulate finite elements in consideration of transverse shear deformation. In this paper, a triangular finite element for thin and thick plate bending is developed, based on Mindlin plate theory. We suggest a method to obtain an element stiffness matrix under the condition where the transverse shear deformation is constant within an element, and based on non-conforming elements. Several numerical experiments are performed and show that the present element gives excellent results for both thin and thick plates.
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