下限极限分析的子迭代路径跟踪内点算法

采用路径跟踪内点法求解有限元下限极限分析所对应的非线性规划问题。在非线性方程组的Newton算法中引入子迭代过程,能够直接采用位移型有限元的数据存储格式和求解工具,并且大量计算可以在单元一级完成。改进的算法可直接利用现有的位移型有限元程序,实现过程简单。算例表明,该算法的效率和精度均可以得到保证。

Subiterative interior point path-following algorithm for lower bound limit analysis

The interior point path-following method was applied to lower bound finite element limit analysis of the nonlinear programming problem. By applying the subiterative process in the Newton algorithm to solving nonlinear equations, the data storage format and solver of the displacement-based finite element method can be used directly, and large amounts of calculation can be performed element by element. The improved algorithm can be simply implemented with the existing displacement-based finite element program. An example shows that the subiteration algorithm can obtain high efficiency and precision.