Multiple level set method for multi-material shape optimization in electromagnetic system

被引：2
作者：
Lee, Kang Hyouk [1 ]
Seo, Kyung Sik [1 ]
Choi, Hong Soon [2 ]
Park, Il Han [1 ]
机构：
[1] Sungkyunkwan Univ, Sch Elect & Elect Engn, Suwon 16419, South Korea
[2] Kyungpook Natl Univ, Dept Elect Engn, Daegu 41566, South Korea
来源：
INTERNATIONAL JOURNAL OF APPLIED ELECTROMAGNETICS AND MECHANICS | 2018年 / 56卷
关键词：
Multiple level set method; continuum shape sensitivity; electromagnetic system; finite element method; shape optimization; STRUCTURAL TOPOLOGY OPTIMIZATION; DESIGN;
D O I：
10.3233/JAE-172290
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper proposes a multiple level set method for multi-material shape optimization in an electromagnetic system. This method enables the handling of multi-material interfaces simultaneously. The sign combination of the level set functions is used for identifying the different material regions and their interfaces. The continuum sensitivity formula for the multi-material interfaces is adopted for the velocity field in the multiple level set equations. Numerical examples are tested to show the usefulness of the proposed method.
引用
收藏
页码：S183 / S193
页数：11
相关论文
共 50 条
  • [31] Topological Shape Optimization of Electromagnetic Problems using Level Set Method and Radial Basis Function
    Shim, Hokyung
    Ho, Vinh Thuy Tran
    Wang, Semyung
    Tortorelli, Daniel A.
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2008, 37 (02): : 175 - 202
  • [32] Level set method with topological derivatives in shape optimization
    Fulmanski, Piotr
    Laurain, Antoine
    Scheid, Jean-Francois
    Sokolowski, Jan
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2008, 85 (10) : 1491 - 1514
  • [33] An extended level set method for shape and topology optimization
    Wang, S. Y.
    Lim, K. M.
    Khoo, B. C.
    Wang, M. Y.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 221 (01) : 395 - 421
  • [34] A level-set-based shape optimization method for thermoelectric materials
    Furuta, Kozo
    Sato, Ayami
    Izui, Kazuhiro
    Nishiwaki, Shinji
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2022, 123 (10) : 2338 - 2356
  • [35] A multi-material topology optimization method based on the material-field series-expansion model
    Wang, Yaguang
    Luo, Yangjun
    Yan, Yi
    STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2022, 65 (01)
  • [36] Material interface control in multi-material topology optimization using pseudo-cost domain method
    Shah, Vishrut
    Pamwar, Manish
    Sangha, Balbir
    Kim, Il Yong
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 122 (02) : 455 - 482
  • [37] An unconditionally time-stable level set method and its application to shape and topology optimization
    Wang, S. Y.
    Lim, K. M.
    Khoo, B. C.
    Wang, M. Y.
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2007, 21 (01): : 1 - 40
  • [38] An incremental form interpolation model together with the Smolyak method for multi-material topology optimization
    Liao, Haitao
    APPLIED MATHEMATICAL MODELLING, 2021, 90 : 955 - 976
  • [39] Sensitivity-Based Topology Optimization of Squirrel-Cage Induction Motor in Time Domain Using Multi-Material Level-Set Method
    Yamano, M.
    Katayama, K.
    Okamoto, Y.
    IEEE TRANSACTIONS ON MAGNETICS, 2022, 58 (09)
  • [40] Stress constrained multi-material topology optimization with the ordered SIMP method
    Xu, Shuzhi
    Liu, Jikai
    Zou, Bin
    Li, Quhao
    Ma, Yongsheng
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2021, 373
12345