Combined hybrid method applied in the Reissner–Mindlin plate model

In this paper, the combined hybrid method is applied to the Reissner–Mindlin plate model and a corresponding variational formulation is presented. Based on this combined hybrid variational formulation, we introduce the Wilson incompatible displacement mode, assumed moment modes and two types of assumed shear stress to design two quadrilateral finite elements. A series of standard numerical tests show that two new elements are free of locking and yield high performance on the coarse mesh.