NONCONFORMING ROTATED ${\mathcal Q}_1$ ELEMENT FOR REISSNER–MINDLIN PLATE
NONCONFORMING ROTATED ${\mathcal Q}_1$ ELEMENT FOR REISSNER–MINDLIN PLATE
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DOI：
10.1142/s0218202501001343
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发表时间：
2001-11
影响因子：
3.5
通讯作者：
P. Ming;Zhongci Shi
中科院分区：
文献类型：
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作者：
P. Ming;Zhongci Shi
针对Reissner-Mindlin板，提出了一种新的无锁紧低阶非协调矩形有限元。它由其中一个旋转部件的不符合旋转单元和另一个部件的符合旋转单元以及挠度的符合旋转单元组成。该单元给出了关于能量范数和l2范数的板厚t均匀的所有变量的最佳误差边界。此外，我们还导出了另一种非协调矩形单元，其最优误差界在t条件下一致。
A new locking-free low order nonconforming rectangular finite element for the Reissner–Mindlin plate is presented. It consists of the nonconforming rotated element for one of the rotation components and the conforming element for the other component together with the conforming for the deflection. This element gives optimal error bounds for all variables uniform in the plate thickness t with respect to the energy norm as well as the L2-norm. Moreover, we have derived another nonconforming rectangular element with optimal error bounds uniform in t provided .