A four-node quadrilateral element fitted to numerical manifold method with continuous nodal stress for crack analysis
A four-node quadrilateral element fitted to numerical manifold method with continuous nodal stress for crack analysis
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适合裂纹分析的连续节点应力数值流形方法的四节点四边形单元
DOI：
10.1016/j.compstruc.2016.08.008
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发表时间：
2016-12
期刊：
影响因子：
--
通讯作者：
Fu Xiaodong
中科院分区：
文献类型：
--
作者：
Yang Yongtao;Sun Guanhua;Zheng Hong;Fu Xiaodong
本文提出了一种适合于数值流形方法的四边形四节点连续应力单元--四边形CNS（Quad 4-CNS）单元。这种四边形单元可以看作是最近发表的四节点四边形连续节点应力单元（Quad 4-CNS）的发展。与四节点等参四边形单元（Quad 4）相比，Quad 4-CNS单元具有更高阶的全局逼近、更好的精度和连续的节点应力。此外，它是免费的“线性相关性”，否则削弱了许多分区的单位（PU）为基础的方法与高阶全球近似。由于采用了数学覆盖和物理覆盖两种覆盖体系，新流形方法能够统一求解连续和不连续问题。本文的目的是协同Quad 4-CNS单元和NMM的优点，精确地模拟线弹性断裂问题。大量的数值算例表明了本文提出的Quad 4-CNS（NMM）单元的精度和鲁棒性。
Formulations of a four-node quadrilateral element fitted to numerical manifold method (NMM) with continuous nodal stress called Quad4-CNS (NMM) element for two-dimensional (2D) crack analysis are presented. This Quad4-CNS (NMM) element can be considered as a development of the recently published four-node quadrilateral element with continuous nodal stress (Quad4-CNS). In contrast to the four-node iso-parametric quadrilateral element (Quad4), the Quad4-CNS element has higher order of global approximations, much better accuracy and continuous nodal stress. Moreover, it is free from the “linear dependence” which otherwise cripples many of the partition of unity (PU) based methods with high order global approximations. Due to the adoption of two cover systems, namely, the mathematical cover and physical cover, the NMM is capable of solving continuous and discontinuous problems in a unified way. The purpose of this paper is to synergize the advantages of both the Quad4-CNS element and the NMM to precisely model linear elastic fracture problems. A number of numerical examples indicate the accuracy and robustness of the present Quad4-CNS (NMM) element.
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DOI：
10.1007/978-1-4612-0575-3_12
发表时间：
1998
期刊：
--
影响因子：
--
作者：
B. Reddy
通讯作者：
B. Reddy
DOI：
10.1007/978-1-4613-4277-9_4
发表时间：
1976
期刊：
--
影响因子：
--
作者：
T. Dawson
通讯作者：
T. Dawson
影响因子：
4.7
作者：
B. Karihaloo;Q. Xiao
通讯作者：
B. Karihaloo;Q. Xiao
影响因子：
3.1
作者：
T. Bui;Dam Quang Vo;Chuanzeng Zhang;D. Nguyen
通讯作者：
T. Bui;Dam Quang Vo;Chuanzeng Zhang;D. Nguyen
影响因子：
5.4
作者：
S. Bordas;T. Rabczuk;G. Zi
通讯作者：
S. Bordas;T. Rabczuk;G. Zi