A STABLE BILINEAR ELEMENT FOR THE REISSNER-MINDLIN PLATE MODEL
A STABLE BILINEAR ELEMENT FOR THE REISSNER-MINDLIN PLATE MODEL
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DOI：
10.1016/0045-7825(93)90214-i
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发表时间：
1993-12-01
影响因子：
7.2
通讯作者：
VIHINEN, T
中科院分区：
文献类型：
--
作者：
LYLY, M;STENBERG, R;VIHINEN, T
在本文中，我们介绍了一种新的四边形单元使用等参双线性基函数的旋转矢量和偏转的两个分量。该元件是MITC 4元件的稳定修饰。我们报告的计算与这个新的元素，原来的MITC 4和双线性元素，选择性减少整合。结果表明：（1）简化积分法不可靠，不宜推荐;（2）MITC 4法性能较好，但其不稳定性会导致挠度计算精度下降，特别是剪力值不准确且振荡;（iii）改进的方法中不存在MITC 4的缺点。
In this paper, we introduce a new quadrilateral element using isoparametric bilinear basis functions for both components of the rotation vector and the deflection. The element is a stable modification of the MITC4 element. We report on calculations with this new element, the original MITC4 and also the bilinear element, with selective reduced integration. The numerical results are in accordance with the results of the numerical analysis and they show that (i) the method with reduced integration is highly unreliable and cannot be recommended; (ii) the MITC4 performs rather well, but its instability can lead to a decrease in accuracy for the deflection and especially to an inaccurate and oscillating shear force; (iii) the drawbacks of the MITC4 are not present in the modified method.