A three-node triangular plate bending element based on mindlin/reissner plate theory and mixed interpolation
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A new three-node triangular plate bending element, MT3, is presented for linear elastic analysis. MT3 is obtained by separate interpolation of transverse displacements and section rotations, and also of the transverse shear strains. The key to the MITC family element is a proper assumption of strain fields, and in this paper the torsional shear mode present in a standard displacement-based element by one-point reduced integration is exactly incorporated to form the stiffness matrix with two other constant shear modes. The procedure renders the element free of any locking phenomena. Low-order MITC family elements are also compared to the proposed element. A detailed formulation of the plate elemenet is given, and several example solutions are presented that demonstrate the superior predictive capabilities of the element.
Key WordsMindlin Plate Shear Locking Mixed Formulation
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