克服“Locking”发散性的有限元研究进展

从克服Locking发散性到高性能格式的研究发展是过去十年有限元法研究的一个重要方面.本文认为所谓高性能有限元方法是一种特别的低阶位移格式,它具有如下的理论和计算优点:(1)保持物理力学问题固有的数学物理特征;(2)因此,应用于工程数值模拟,它是“鲁棒'的、高效的.按此立场,评论介绍了在计算结构力学和计算流体力学中发展的克服两类Locking发散性的有限元方法. 

ADVANCES IN FINITE ELEMENT STUDY ON SUPPRESSION OF "LOCKING" DIVERGENCE

The study on suppression of "Locking" divergence, and the progress achieved in developing high performance schemes, are an important aspect in the last ten years' research & development on the finite element methods. The so called finite element method of high performance is a particular lower-order displacement scheme that offers the following theoretical and computational advantages: 1 Approximately preserving all mathematical and physical characteristics of the original problem; 2 As a result, it is robust and highly efficient for the applications to based on engineering numerical simulations. From this view, two kinds of locking-free methods, developed in computational structure mechanics and CFD, are reviewed in the paper.