Abstract
An expression for the strain energy of plates, which includes a term for transverse shear deformation and which is expressed in terms of the total transverse displacement and the displacement due to bending alone, is presented. Use of this expression in the construction of finite element representations requires independent descriptions of both these displacements. A triangular plate element is formulated in this manner, using the shape functions of the “discrete-Kirchoff” model. Numerical results for a range of finite element meshes and thickness-to-plate length ratios, for rectangular plates with different support and loading conditions, demonstrate the effectiveness of the proposed approach.
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