考虑材料应变软化的弹塑性有限元解法研究

指出了已有初应力法多种加速方案在对考虑材料应变软化特性的非线性有限元进行求解时，并不能保证求解过程的收敛性。借鉴整体割线刚度送代法的思想，提出了一种新的初应力加速方案，该方案不仅可以有效地提高初应力法的求解效率，而且即使考虑材料的应变软化，也可以保证在结构达到最大承载能力前的求解过程是收敛的。

Solving-method of elastic-plastic FEM considering the material's strain-softening

Because all existing accelerated initial stiffness schemes of the non linear FEM considering material's strain\|softening can not make sure of the convergence of iteration , based on the idea of secant stiffness method, a new accele rated initial stiffness scheme is put forward in this paper. It can be proved that the new method not only accelerates the iteration , but also assures the convergence of iteration even if the material's strain-softening is took into account.