A family of spline finite elements
A family of spline finite elements
复制标题
DOI：
10.1016/j.compstruc.2010.02.011
复制
发表时间：
2010-06
影响因子：
4.7
通讯作者：
Juan Chen;Chong-Jun Li;Wan-ji Chen
中科院分区：
文献类型：
--
作者：
Juan Chen;Chong-Jun Li;Wan-ji Chen
本文提出了一类新的平面四边形样条元。构造了4个节点数分别为4，8，12和17的四边形单元，它们在直角坐标系下分别具有1、2、3和4阶完备性。8、12和17节点单元的位移插值函数比相应的四边形等参单元具有更高的阶次完备性，且所得应力在单元内是连续的。给出了一些数值算例，并与文献中已知的单元进行了比较，结果表明所提出的单元是有竞争力的。
In this paper, a new family of plane quadrilateral spline elements is proposed. Four quadrilateral elements with 4,8,12 and 17 nodes are constructed, which possess completeness of orders 1,2,3 and 4 in the Cartesian coordinates, respectively. The displacement interpolation functions of the 8,12 and 17-node elements possess higher order completeness than the corresponding quadrilateral isoparametric elements with the same nodes, and the resulting stresses are continuous within the element. Some numerical examples are given, in comparison with other known elements from the literatures, and the results show that the proposed elements are competitive.