A Locking-free Mixed Triangular Element for the Reissner-Mindlin Plates

A Locking-free Mixed Triangular Element for the Reissner-Mindlin Plates
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Reissner-Mindlin板的无锁混合三角形单元

DOI:
10.1007/978-3-642-79654-8_261
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发表时间:
1995
影响因子:
2.1
通讯作者:
K. Ishii
K. Ishii
中科院分区:
数学2区
文献类型:
--
作者:
F. Kikuchi;K. Ishii

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人们已经针对Reissner-Mindlin板提出了多种有限元[1]、[2],但我们还没有完全合理的有限元,主要是因为难以避免剪切锁定。作为克服这一困难的尝试,我们提出了一种基于混合方法且无锁定的Reissner-Mindlin型三角形单元。因此,该元件在包括薄板极限(即基尔霍夫范围)在内的宽范围内表现良好。
There have been proposed a variety of finite elements for the Reissner- Mindlin plates [1], [2], but we do not yet have fully reasonable ones mainly due to the difficulty of avoiding shear locking. As a trial to overcome such difficulty, we propose a Reissner-Mindlin type triangular element, which is based on the mixed method and free from locking. Thus, the element behaves nicely for wide ranges including the thin plate limit (i.e., the Kirchhoff range).