可变节点三维不协调等参元收敛性研究

A Study of Convergence of Variable-number-nodes Three-dimensional Incompatible Isoparametric Elements

摘要: 本文提出一个保证收敛的可变节点三维不协调等参元。该单元精度高,收敛快,使用可靠,适用性广。它已在静力动力结构分析程序SAP5中实现,从而解决了原程序中三维单元的精度与收敛问题。

Abstract: This paper presents a variable-number-nodes three-dimensional incompatible isoparametric element. The element passes the patch test. The deduction and the respective formula of the algorithm are given in the paper. Numerical examples are presented to demonstrate the reliability, the accuracy and the applicability.