Steel and Composite Structures

  • 제44권5호
  • /
  • Pages.633-649
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  • 2022
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

The level set-based topology optimization for three-dimensional functionally graded plate using thin-plate spline

  • Banh, Thanh T. (Department of Architectural Engineering, Sejong University) ;
  • Luu, Nam G. (Department of Architectural Engineering, Sejong University) ;
  • Lee, Dongkyu (Department of Architectural Engineering, Sejong University)
  • 투고 : 2021.08.02
  • 심사 : 2022.08.30
  • 발행 : 2022.09.10
⟨ 이전 논문 다음 논문 ⟩

초록

This paper is first implemented with the bending behavior of three-dimensional functionally graded (3DFG) plates in the framework of level set-based topology optimization (LS-based TO). Besides, due to the suitable properties of the current design domain, the thin-plate spline (TPS) is recognized as a RBF to construct the LS function. The overall mechanical properties of the 3DFG plate are assessed using a power-law distribution scheme via Mori-Tanaka micromechanical material model. The bending response is obtained using the first-order shear deformation theory (FSDT). The mixed interpolation of four elements of tensorial components (MITC4) is also implemented to overcome a well-known shear locking problem when the thickness becomes thinner. The Hamilton-Jacobi method is utilized in each iteration to enforce the necessary boundary conditions. The mathematical formulas are expressed in great detail for the LS-based TO using 3DFG materials. Several numerical examples are exhibited to verify the efficiency and reliability of the current methodology with the previously reported literature. Finally, the influences of FG materials in the optimized design are explained in detail to illustrate the behaviors of optimized structures.

키워드

과제정보

This research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2022R1A2C1003776).

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