Browse > Article
http://dx.doi.org/10.7734/COSEIK.2022.35.2.65

Improvement of the Phase Section Method for Multi-material Topology Optimization  

Kang, Min-sung (Graduate School of Mechanical Engineering, Yonsei University)
Kim, Cheolwoong (Graduate School of Mechanical Engineering, Yonsei University)
Yoo, Jeonghoon (Department of Mechanical Engineering, Yonsei University)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.35, no.2, 2022 , pp. 65-71 More about this Journal
Abstract
Recently, multi-material structural topology optimization is more critical because it provides reasonable solution to weight reduction challenges and can as well provide effective conceptual design. For conventional multi-material topology optimization (MMTO), the number of design variable increases when the number of candidate materials increases, and accordingly, a significant increase in computational time occurs. Therefore, MMTO with a single design variable, such as the phase section method (PSM) was proposed. This research is focused on improving the PSM, considering three major limitations: the composition ratio does not represent the area or volume ratio, design variables are not sufficiently concentrated to target values, and certain materials are created less than they are required. To address such limitations, the redefined composition ratio and adjusted parameters for better convergence are proposed. The validation of proposed modifications is verified via two- and three-dimensional numerical examples.
Keywords
topology optimization; multi-material; phase section method; single variable; composition ratio;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Bendsoe, M.P., Sigmund, O. (1999) Material Interpolation Schemes in Topology Optimization, Arch, Appl. Mech., 69(9), pp.635~654.   DOI
2 Go, J., Seong, H.K., Kim, H., Park, J., Yoo, J. (2018) RF Collimator Design Having Multi-Dielectric Structure Using the Phase Field Design Method, J. Comput Struct. Eng. Inst. Korea, 31(1), pp.47~52.   DOI
3 Bendsoe, M.P., Kikuchi, N. (1988) Generating Optimal Topologies in Structural Design using a Homogenization Method, Comput. Methods Appl. Mech. Eng., 71(2), pp.197~224.   DOI
4 Sigmund, O. (2001) A 99 Line Topology Optimization Code Written in Matlab, Struct. Multidisc. Optim., 21(2), pp.120~127.   DOI
5 Seong, H.K., Kim, C.W., Yoo, J., Lee, J. (2019) Multiphase Topology Optimization with a Single Variable Using the Phase-Field Design Method, Int. J. Numer. Methods Eng., 119(5), pp.334~360.   DOI
6 Takezawa, A., Nishiwaki, S., Kitamura, M. (2010) Shape and Topology Optimization based on the Phase Field Method and Sensitivity Analysis, J. Comput. Phys., 229(7), pp.2697~2718.   DOI
7 Zuo, W., Saitou, K. (2017) Multi-Material Topology Optimization using Ordered SIMP Interpolation, Struct. Multidisc. Optim., 55(2), pp.477~491.   DOI
8 Choi, J.S., Yamada, T., Izui, K., Nishiwaki, S., Yoo, J. (2011) Topology Optimization using a Reaction-Diffusion Equation, Comput. Methods Appl. Mech. Eng., 200(29-32), pp.2407~2420.   DOI