弹塑性有限元分析的自动分块顺序——逆序修正法

ON THE POSITIVE-NEGATIVE SEQUENCE MODIFICATION METHOD OF AUTOMATIC PARTITIONING BLOCKS IN ELASTO-PLASTIC FINITE ELEMENT ANALYSIS

在利用切线刚度法进行结构弹塑性有限元分析时,对于每一载荷增量,须求解一系数矩阵有所变化的线性代数方程组。本文提出的自动分块顺序——逆序修正法,既保持了顺序——逆序修正法效率较高的优点,又能在充分利用内存的前提下自动地分块,使解题规模不受机器内存容量的限制。这是在微机上进行弹塑性有限元分析的一种有效解法。该方法对于接触问题、优化设计等结构的局部再分析也同样有效。文中介绍了自动分块顺序——逆序修正法的原理、实施要点和程序框图。

In this paper is proposed an algorithm suitable for elasto-plastic finite element analysis——the positive-negative sequence modification method of automatic partitioning blocks. In general cases, this algorithm avoids the necessity of reformation and factorization of coefficients in elastic region of the stiffness matrix completely, ahd is not restricted by the immediate access storage of the computer, based on automatic partitioning blocks. It may also be efficiently applied to the local re-analyses of structures such as in contact problems, optimum design etc. In the paper are described the principle involved, chief steps in implementation and the program flow charts of this algorithm.