损伤和软化计算的有限元实施策略

Finite Element Analysis and Solution Techniques for Damaged and Strain Softening Structures

研究了粘塑性损伤软化本构模型的有限元计算方法和实施策略．提出了粘塑性损伤本构关系的矩阵公式，在引进有效损伤矩阵的基础上，得出损伤弹性矩阵和局部损伤软化矩阵，分别用于计算粘塑性硬化阶段和局部软化阶段的有限元系统刚度矩阵．同时，对弧长法的约束方程加以适当的改进，以适合软化问题的局部性特征．最后，对两个简单算例作了数值计算和分析，讨论了结构中的局部软化效应以及追踪应力应变响应曲线的软化下降段路径．

finite element analysis of the viscoplastic-softening damage model is presented, in which an effective damage matrix is introduced to consider the influence of isotropic damage on different type of micro-cracking by different state of stresses. The computational techniques are improved for tracing softening deformational path of the solid with viscoplastic damage properties. Two examples are discussed to illustrate the technique for tracing the post failure path of the softening response.