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Equilibrium-Based Finite Element Analysis of the Reissner-Mindlin Plate Bending Problem
Zdzisław Więckowski1, Paulina Świątkiewicz2
1Independent Researcher, 90-001 Łódź, Poland.
None:
A stress-based finite element approach to the Reissner-Mindlin plate bending problem is proposed. The rectangular Bogner-Fox-Schmit and triangular Hsieh-Clough-Tocher elements are applied to approximate the Southwell stress function describing the statically admissible stress field in a plate. To have some reference for the numerical results and estimate errors of the approximate solutions, two displacement-based elements with 12 and 22 degrees of freedom are also utilised. The variant of boundary conditions-known in the literature as 2D or hard BC-is analysed in the present study.
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