ABSTRACT

Topology optimization with classical mechanics has already made tremendous advances for macroscopic structure in the last few decades. However, size effects are detected from small-scale structures when the structure's feature size is reduced to the micro or nano level. To tackle this problem, the Solid Isotropic Material with Penalization method (SIMP) is merged with the modified couple stress theory to explore the size effect on the topology optimization. Furthermore, temperature effect and buckling requirement are taken into consideration in this framework. Finally, several examples are provided to illustrate the size effects on the topology optimization and mechanical behavior.

摘要

在过去的几十年里，经典力学的拓扑优化已经在宏观结构方面取得了巨大的进步。然而，当结构的特征尺寸减小到微米或纳米水平时，可以从小尺寸结构中检测到尺寸效应。为了解决这个问题，将固体各向同性材料惩罚方法（SIMP）与修正偶应力理论相结合，探讨尺寸对拓扑优化的影响。此外，该框架还考虑了温度效应和屈曲要求。最后，提供了几个例子来说明尺寸对拓扑优化和机械行为的影响。