一个改进的Reissner-Mindlin矩形元  

AN IMPROVED REISSNER-MINDLIN RECTANGULAR NONCONFORMING ELEMENT

作　　者：段火元[1] 陈星[1] 李韶友 梁国平 

机构地区：[1]中国科学院数学与系统科学研究院,北京100080 [2]湘潭大学应用数学系,湘潭420002 [3]飞箭公司,北京100080

出　　处：《应用数学学报》2003年第4期629-637,共9页Acta Mathematicae Applicatae Sinica

摘　　要：本文提出了一个改进的Reissner-Mindlin矩形非协调元方法:旋度用连续双线性元逼近,横向位移用旋转矩形非协调元逼近,而作为中间变量的剪切力用增广的分片常数元逼近。我们证明:该方法具有关于板厚一致稳定性和一致最优收敛性。For the Reissner-Mindlin plate problem, an improved rectangular nonconform-ing mixed finite element method is analyzed. Conforming bilinear element is used for the rotation, and nonconforming rotated Q1rot for the transverse displacement, and constant element enriched by given functions is used for the shear stress. It is shown that this method has a uniform stability and a uniform optimal error bound, with respect to the plate-thickness.

关 键 词：Reissner-Mindlin矩形元 一致稳定性 收敛性 混合有限元法 插值函数 

分 类 号：O34[理学—固体力学] O241.82[理学—力学]