摘要
本文提出两种结构弹塑性分析的有限元方法——杂交/混合非协调元法。该法采用场变量分解,文[1]对增量形式的杂交应力元能量泛函进行修正,简化了高阶矩阵的求逆运算,从而提高了多变量非线性有限元分析的计算效率和收敛精度。文中按文[2]给出的第二种能量泛函的修正形式建立了弹塑性平面问题中的杂交/混合非协调四边形单元。最后给出算例,并与实验解及文[3]解进行比较。表明该方法分解弹塑性问题是十分有效的。
This paper presents two new finite element methods for the elastic-plastic analysis of structures, hybrid/mixed non-conforming finite element methods. The assumed-stress hybrid functionals with incremental forms are modified by using the experience of field functional separation for reference, so the inversing of a high matrix is simple to handle and the computing efficiency and the convergent exactitude for the non-linear finite element analysis of variables are increased.This paper also presents a hybrid/mixed non-conforming quadrilateral for the elastic-plastic plane problem. At last, numerical results are given by comparison 'of experiment results and Rcfs [3]. The results show that the methods in the paper are very efficient in the elastic-plastic analysis.
