A UNIFORMLY ACCURATE FINITE-ELEMENT METHOD FOR THE REISSNER-MINDLIN PLATE
A UNIFORMLY ACCURATE FINITE-ELEMENT METHOD FOR THE REISSNER-MINDLIN PLATE
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DOI：
10.1137/0726074
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发表时间：
1989-12-01
影响因子：
2.9
通讯作者：
FALK, RS
中科院分区：
文献类型：
--
作者：
ARNOLD, DN;FALK, RS
提出并分析了Reissner-Mindlin板模型在主变量下的一种简单有限元方法。该方法对横向位移采用非协调线性有限元，对旋转采用协调线性有限元，单元刚度矩阵的计算采用简单的单元平均。证明了该方法是关于厚度以最优阶一致收敛的。
A simple finite element method for the Reissner–Mindlin plate model in the prim-itive variables is presented and analyzed. The method uses nonconforming linear finite elements for the transverse displacement and conforming linear finite elements enriched by bubbles for the rotation, with the computation of the element stiffness matrix modified by the inclusion of a simple elementwise averaging. It is proved that the method converges with optimal order uniformly with respect to thickness.