IMPROVED ENHANCED STRAIN FOUR-NODE ELEMENT WITH TAYLOR EXPANSION OF THE SHAPE FUNCTIONS
IMPROVED ENHANCED STRAIN FOUR-NODE ELEMENT WITH TAYLOR EXPANSION OF THE SHAPE FUNCTIONS
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形状函数泰勒展开改进的增强型应变四节点单元
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
P. Wriggers
中科院分区：
文献类型：
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作者：
J. Korelc;P. Wriggers
本文提出了一类带形函数导数泰勒展开的增强应变四节点单元。基于Hu-Washizu原理，提出了一种新的强化概念，即在“标准”强化应变场的基础上，再引入两种强化应变场。对于一阶泰勒展开，增强模式变得解耦，因此仅需要用于增强模式的静态凝聚的可忽略的计算量。此外，制定允许一个符号积分，这导致一个封闭形式的解决方案的元素正切矩阵。几个数值算例表明，该单元是稳定的，不变的，通过补丁测试，并产生良好的效果，特别是在高失真的区域。© 1997年由John Wiley & Sons，Ltd.
A class of enhanced strain four-node elements with Taylor expansion of the shape function derivatives is presented. A new concept of enhancement using besides the ‘standard’ enhanced strain fields also two other enhanced fields is developed on the basis of the Hu–Washizu principle. For first-order Taylor expansion enhanced modes become uncoupled, thus only a negligible amount of computing effort for the static condensation of enhanced modes is needed. Furthermore, the formulation permits a symbolic integration, which leads to a closed-form solution for the element tangent matrix. Several numerical examples show that the element is stable, invariant, passes the patch test and yields good results especially in the highly distorted regime. © 1997 by John Wiley & Sons, Ltd.