Topology optimization considering the distortion in additive manufacturing

被引:29
作者
Miki, Takao [1 ]
Yamada, Takayuki [2 ]
机构
[1] Osaka Res Inst Ind Sci & Technol, 7-1,Ayumino 2, Izumi, Osaka 5941157, Japan
[2] Univ Tokyo, Dept Strateg Studies, Inst Engn Innovat, Bunkyo Ku, 11-16,Yayoi 2, Tokyo 1138656, Japan
关键词
Topology optimization; Level set method; Metal additive manufacturing; Inherent strain method; INHERENT STRAIN METHOD; RESIDUAL-STRESSES; STRUCTURAL OPTIMIZATION; EXPERIMENTAL VALIDATION; THERMOMECHANICAL MODEL; PART DISTORTION; LASER; PREDICTION; DEFORMATION;
D O I
10.1016/j.finel.2021.103558
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Additive manufacturing is a free-form manufacturing technique in which parts are built in a layer-by-layer manner. Laser powder bed fusion is one of the popular techniques used to fabricate metal parts. However, it induces residual stress and distortion during fabrication that adversely affects the mechanical properties and dimensional accuracy of the manufactured parts. Therefore, predicting and avoiding the residual stress and distortion are critical issues. In this study, we propose a topology optimization method that accounts for the distortion. First, we propose a computationally inexpensive analytical model for additive manufacturing that uses laser powder bed fusion and formulated an optimization problem. Next, we approximate the topological derivative of the objective function using an adjoint variable method that is then utilized to update the level set function via a time evolutionary reaction-diffusion equation. Finally, the validity and effectiveness of the proposed optimization method was established using two-dimensional design examples.
引用
收藏
页数:12
相关论文
共 46 条
  • [1] Structural optimization under overhang constraints imposed by additive manufacturing technologies
    Allaire, G.
    Dapogny, C.
    Estevez, R.
    Faure, A.
    Michailidis, G.
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 351 : 295 - 328
  • [2] Thickness control in structural optimization via a level set method
    Allaire, G.
    Jouve, F.
    Michailidis, G.
    [J]. STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2016, 53 (06) : 1349 - 1382
  • [3] Structural optimization using sensitivity analysis and a level-set method
    Allaire, G
    Jouve, F
    Toader, AM
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2004, 194 (01) : 363 - 393
  • [4] Allaire G., 2002, SHAPE OPTIMIZATION H, V146
  • [5] Molding Direction Constraints in Structural Optimization via a Level-Set Method
    Allaire, Gregoire
    Jouve, Francois
    Michailidis, Georgios
    [J]. VARIATIONAL ANALYSIS AND AEROSPACE ENGINEERING: MATHEMATICAL CHALLENGES FOR THE AEROSPACE OF THE FUTURE, 2016, 116 : 1 - 39
  • [6] Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing
    Allaire, Gregoire
    Jakabcin, Lukas
    [J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2018, 28 (12) : 2313 - 2366
  • [7] A new algorithm for topology optimization using a level-set method
    Amstutz, Samuel
    Andrae, Heiko
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 216 (02) : 573 - 588
  • [8] [Anonymous], 2005, APPL COMPUT MECH STR
  • [9] Bendsoe M.P., 1989, STRUCT OPTIMIZATION, V1, P193, DOI [DOI 10.1007/BF01650949, 10.1007/bf01650949]
  • [10] GENERATING OPTIMAL TOPOLOGIES IN STRUCTURAL DESIGN USING A HOMOGENIZATION METHOD
    BENDSOE, MP
    KIKUCHI, N
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 71 (02) : 197 - 224