弹塑性材料的结构拓扑优化  

STRUCTURAL TOPOLOGY OPTIMIZATION OF ELASTO-PLASTIC MATERIAL

作　　者：豆麟龙[1] 尹益辉[1] 张元章[1] 刘远东[1] 

机构地区：[1]中国工程物理研究院总体工程研究所,绵阳621900

出　　处：《机械强度》2014年第6期966-970,共5页Journal of Mechanical Strength

基　　金：中国工程物理研究院科学技术发展基金资助项目(No.2012B0302042);中国工程物理研究院总体所创新与发展基金资助项目(No.13CXJ06)资助~~

摘　　要：将渐近结构优化法(ESO法)从弹性材料拓展到弹塑性材料的结构拓扑优化,建立了考虑应力约束和材料弹塑性变形的结构拓扑优化模型。采用Ansys软件的APDL功能编程实现了相应的优化设计,给出了弹性优化和弹塑性优化的对比算例。基于算例结果对比分析表明:在相同设计域和载荷条件下,弹塑性材料的结构拓扑优化构型与线弹性材料的明显不同;无论是弹性还是弹塑性结构拓扑优化,材料用量W都随优化结构的应力约束系数β增大而减少,且在W-β曲线上存在一个对应于结构弹性极限状态的转折点,在该点临近,右侧曲线变化率(取绝对值)比左侧的大很多,充分显示了进行考虑材料弹塑性性质的结构拓扑优化对于节约材料非常有意义。The evolutionary structural optimization （ESO） method is extended to the structural topology optimization of elasto-plastic material from elastic material, and the topology optimization model considering stress constraint and material＇ s elasto-plastic deformation is established. Corresponding optimization designs are implemented by employing Ansys＇ s APDL language to program, and the comparison examples of elastic optimization and elasto-plastic optimization are shown. The comparison analysis based numerical examples＇ results show that ：Under the circumstances of the same design domain and load, the optimized topology configuration of elasto-plastic material＇ s structures are obviously different from linear elastic material; For linear elastic and elasto-plastic structural topology optimization, the material＇ s usage quantity Wboth gradually decreases with the increasing of the optimized structural stress constraint coefficientfl, and a turning point exists on theW -flcurve corresponding to the structural elastic limit, and near this point the rate of change of the right curve （taking the absolute value） is greater than the left, which sufficiently shows that the structural topology optimization considering material＇ s elasto-plastie character is fairly significant for saving material＇s usage quantity.

关 键 词：ESO法 弹塑性材料 结构拓扑优化 应力约束 

分 类 号：TB125[理学—工程力学]