非线性方程组的解法:局部弧长法

描述了一个新的非线性方程组的求解方法——局部弧长法．该方法是在弧长法的基础上发展起来的适合于材料非线性有限元分析的数值解法．其约束方程充分利用了结构中破坏区域内的非线性变形信息，有效地解决了材料非线性分析中的稳定性与收敛性问题．数值计算表明，该方法不仅适合于求解结构的极限承载能力，也适合于求解结构达到极限承载参力以后的荷载－变形的全过程

LOCAL ARC-LENGTH METHOD——A SOLUTION PROCEDURE FOR NON-LINEAR FINITE ELEMENT METHOD

This paper describes a new solution procedure, the local arc-length method that is a development of the arc-length method and can be used for structures with strain-softening materials. The new procedure is based on using a constraint equation which uses displacement parameters associated with the localized failure zone in such structures. Numerical examples show that this new procedure is more reliable than current versions of the arc-length method. By using this method, not only the ultimate load of the structure can be obtained, but also the structure response beyond the ultimate load.