A new discrete Kirchhoff-Mindlin element based on Mindlin-Reissner plate theory and assumed shear strain fields. I - An extended DKT element for thick-plate bending analysis. II - An extended DKQ element for thick-plate bending analysis
A new discrete Kirchhoff-Mindlin element based on Mindlin-Reissner plate theory and assumed shear strain fields. I - An extended DKT element for thick-plate bending analysis. II - An extended DKQ element for thick-plate bending analysis
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DOI：
10.1002/nme.1620361106
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发表时间：
1993-06
影响因子：
2.9
通讯作者：
I. Katili
中科院分区：
文献类型：
--
作者：
I. Katili
这是一篇关于考虑剪切效应的板弯曲单元的两篇论文的第一篇。本文提出了一种新的三结点--九点法。三角形板弯曲单元适用于厚板到薄板的分析。这种单元被称为DKMT，具有适当的秩次(不含伪零能模式)，通过了任意网格中薄板和厚板的补丁测试，并且没有剪切锁定。用该单元对薄板和厚板的计算都取得了很好的结果。第二部分对厚板弯曲分析的扩展DKQ单元进行了评价
This is the first of a two‐part paper on plate bending elements with shear effects included. This paper presents a new three‐node, nine‐d.o.f. triangular plate bending element valid for the analysis of thick to thin plates. The element, called DKMT, has a proper rank (contains no spurious zero‐energy modes), passes the patch test for thin and thick plates in an arbitrary mesh and is free of shear locking. Very good results have been obtained for thin and thick plates' by the element. An extended DKQ element for thick‐plate bending analysis is evaluated in Part II.24