Abstract
A stress optimization condition for hybrid stress finite elements is applied to develop a Mindlin-Reissner plate element. A modified Hellinger-Reissner energy functional, derived from a stress optimization condition, is employed to relax the patch test constraint of incompatible displacements. An eight-node serendipity thin and moderately thick plate element, which is stable and free from shear locking, is formulated from the optimized stress distribution and the use of incompatible displacements. Numerical results indicate that the resulting element is accurate in both displacements and stresses, and insensitive to mesh distortion.
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