A "FE-meshfree" QUAD4 element based on partition of unity
A "FE-meshfree" QUAD4 element based on partition of unity
复制标题
DOI：
10.1016/j.cma.2007.07.010
复制
发表时间：
2007-01-01
影响因子：
7.2
通讯作者：
Zhang, B. R.
中科院分区：
文献类型：
--
作者：
Rajendran, S.;Zhang, B. R.
将有限元形函数与无网格法相结合，构造了一种新的四边形四节点单元。我们的目标是协同有限元和无网格形状功能的吸引力的特点，使用单位分割（PU）方法的概念。采用QUAD4单元的形函数进行PU，并采用最小二乘点插值进行局部逼近。这使得所提出的单元继承了有限元法的相容性和无网格法的二次多项式完备性。数值算例表明，该单元具有良好的网格畸变容限。该元素似乎也不受线性相关问题的影响，该问题已知困扰着一些基于PU的元素。(c)2007 Elsevier B.V.保留所有权利。
A new 4-node quadrilateral element is developed by combining the shape functions of finite element and meshfree methods. The objective is to synergise the attractive features of finite element and meshfree shape functions using the concepts of partition of unity (PU) methods. The shape functions of the well known QUAD4 element are used for PU and the least-square point interpolation for local approximation. This enables the proposed element inherit the compatibility properties of finite element method and the quadratic polynomial completeness properties of meshfree methods. Numerical results for the bench mark problems show that the proposed element has a good tolerance to distorted meshes. The element also seems to be free from the linear dependence problem which is known to plague some of the PU-based elements. (c) 2007 Elsevier B.V. All rights reserved.