受应力约束的平面弹性体的拓扑优化

Topological optimization of plane elastic continuum with stress constraints

研究在给定外载和支承的条件下平面弹性体的拓朴优化，要求得到厚度均匀、使用材料最省且每一点都满足应力约束的弹性膜．在分析拓扑优化的特殊困难后，提出修改的满应力方法求解这一问题，使得设计空间在迭代过程中不变．文中的数值结果说明这个方法是有效的算法．

The paper studies the topology optimization of plane elastic continuum with stressconstraints.The external loads and supports are given.The optimum continuum to be designedhas uniform thickness distribution and minimizes material volume.By analyzing the specialdifficulty of topology optimization with truss example,the authors present a revised fully stressmethod which avoids continuous modification of design space and provides the mechanism toenable the element once deleted to reenter the structure.Numerical results illustrate thepromising performance of the method.