任意四边形Reissner-Mindlin板元

A quadrilteral Reissner-Mindlin plate element

提出一种任意四边形Ｒｅｉｓｓｎｅｒ－Ｍｉｎｄｌｉｎ板元，挠度和转角均采用分片双线性函数。但剪切应变用它的线性扦值所代替，当板厚趋于零时这对应于Ｋｉｒｃｈｈｏｆｆ条件，因而避免了Ｌｏｃｋｉｎｇ现象。给出数值结果表明该单元的有效性。

In this paper we present a quadrilateral element for Reissner-Mindlin plate. The usual piece- wise bilinear functions are applied to both the deflection and the rotations , but the shear strainsare replaced by their linear interpolations , which correspond to the Kirchhoff conditions as the thickness of the plate t→0 , so the element is locking free. Numerical results are qiven.