摘要
本文就弹性力学问题,给出了有限元方法的最一般的加权残数方程,并以此为基础导出了协调、平衡和混合-杂交等有限元模型.在方程建立中,处理了单元交界连续性问题并对目前有限元方法一些问题进行了讨论.指出,适当选择权函数,可以由加权残数法导出现有的、以变分原理为基础的各种有限元模型.揭示了加权残数法更加广泛应用的可能性.
The most general equation of weighted residuals for finite element method a presented and based on that the compatibility, equilibrium and mixed/hybrid models are deduced. It is pointed out that with the weight functions being appropriately chosen those models will reduce to the well-known ones which are based on the variational principles. The problem about the conditions of continuity of some variables acrossing the interface of elemeats and some other substantial problems in current finite element method are discussed.
出处
《力学学报》
EI
CSCD
北大核心
1989年第1期84-88,共5页
Chinese Journal of Theoretical and Applied Mechanics
基金
中国科学院科学基金
关键词
加权残数法
有限元
弹性力学
变分
Method of weighted residuals, Finite element, Variational principles.
