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It is known that the 3-node hybrid triangular element MiSP3 and 4-node hybridquadrilateral element MiSP4 presented by Ayad, Dhatt and Batoz (Int. J. Numer.Meth. Engng 1998, 42: 1149-1179) for Reissner-Mindlin plates behave robustly innumerical benchmark tests. These two elements are based on Hellinger-Reissnervariational principle, where continuous piecewise linear/isoparametric bilinearinterpolations, as well as the mixed shear interpolation/projection techniqueof MITC family, are used for the approximations of displacements, andpiecewise-independent equilibrium modes are used for the approximation ofbending moments/shear stresses. We show that the MiSP3 and MiSP4 elements areuniformly stable with respect to the plate thickness and thus free fromshear-locking.

Analysis of hybrid methods of mixed-shear-projected triangular and quadrilateral elements for Reissner-Mindlin plates