文献类型：期刊文献

英文题名：An explicit topology and thickness control approach in SIMP-based topology optimization

作者：Zuo, Tongxing Han, Haitao Wang, Qianglong Zhao, Qiangwei Liu, Zhenyu

第一作者：Zuo, Tongxing

通信作者：Liu, ZY[1];Liu, ZY[2]

机构：[1]Chinese Acad Sci, Changchun Inst Opt Fine Mech & Phys CIOMP, Changchun 130033, Peoples R China;[2]Univ Chinese Acad Sci, Sch Optoelect, Beijing 100049, Peoples R China;[3]Nanyang Technol Univ, Coll Comp & Data Sci, Singapore 639798, Singapore;[4]Guizhou Inst Technol, Sch Mech Engn, Guiyang 550003, Peoples R China

第一机构：Chinese Acad Sci, Changchun Inst Opt Fine Mech & Phys CIOMP, Changchun 130033, Peoples R China

通信机构：corresponding author), Chinese Acad Sci, Changchun Inst Opt Fine Mech & Phys CIOMP, Changchun 130033, Peoples R China;corresponding author), Univ Chinese Acad Sci, Sch Optoelect, Beijing 100049, Peoples R China.

年份：2025

卷号：307

外文期刊名：COMPUTERS & STRUCTURES

收录：;EI(收录号：20245117549210);WOS:【SCI-EXPANDED(收录号:WOS:001413901500001)】；

基金：The authors gratefully acknowledge the financial support to this work by the China Scholarship Council (202304910435) .

语种：英文

外文关键词：Topology optimization; Topology control; Thickness control; Topological invariants; SIMP

摘要：In order to improve the topology optimization results for the requirements such as manufacturability and functionality, and to strengthen the link between structural topology optimization and computational topology, this paper measures the topology and thickness of the structure using topological invariants (i.e., Euler characteristic and Betti numbers) in the computational topology. Based on set theory, explicit relationships between structural topology/thickness and design variables are established, leading to the construction of solid and void constraints. These two constraints are then integrated into the SIMP-based topology optimization framework to control the minimum/maximum solid thickness and minimum void thickness while keeping the structural topology unchanged during topology optimization process. 2D and 3D numerical examples demonstrate that the new approach does have the capability to give a complete control of the topology and thickness of the optimal structure in an explicit way.