极限分析下限有限元法及其应用

Lower Bound Limit Analysis with Finite Elements and Its Applications

针对极限分析下限法中静力许可应力场建立困难这一问题 ,在下限定理的基础上 ,引入有限元的思想来建立静力许可应力场 ,运用最优化理论中的内点法对问题进行求解。据此建立了极限分析下限有限元数学模型 ,编制了有限元程序 ,通过对经典算例进行求解 。

Based on the lower bound theorem of limit analysis theory, the admissible stress field is modeled using finite elements. The interior point optimization approach is applied to search the maximum lower bound solution. It proved that the presented method is reasonable and practicable by its comparison with classical solutions.