The Reissner-Mindlin plate model is one of the most commonly used models of a moderately thick to thin linearly elastic plate. However, a direct and seemingly reasonable finite element discretization usually yields very poor results, which is referred to LOCKING phenomenon.

 In the past two decades, many efforts have been devoted to the design of locking free finite elements to resolve this 

model, most of these work focus on triangular or rectangular elements, the latter may be extended to parallelograms, but 

very few on quadrilaterals.

   In this talk wewill  give an overview of the recent development of low order quadrilateral elements and present our new results.