Structural Engineering and Mechanics

  • 제25권1호
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  • Pages.91-106
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  • 2007
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

(4+n)-noded Moving Least Square(MLS)-based finite elements for mesh gradation

  • Lim, Jae Hyuk (Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology (KAIST)) ;
  • Im, Seyoung (Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology (KAIST))
  • 투고 : 2006.05.23
  • 심사 : 2006.08.16
  • 발행 : 2007.01.10
⟨ 이전 논문 다음 논문 ⟩

초록

A new class of finite elements is described for dealing with mesh gradation. The approach employs the moving least square (MLS) scheme to devise a class of elements with an arbitrary number of nodal points on the parental domain. This approach generally leads to elements with rational shape functions, which significantly extends the function space of the conventional finite element method. With a special choice of the nodal points and the base functions, the method results in useful elements with polynomial shape functions for which the $C^1$ continuity breaks down across the boundaries between the subdomains comprising one element. Among those, (4 + n)-noded MLS based finite elements possess the generality to be connected with an arbitrary number of linear elements at a side of a given element. It enables us to connect one finite element with a few finite elements without complex remeshing. The effectiveness of the new elements is demonstrated via appropriate numerical examples.

키워드

과제정보

연구 과제 주관 기관 : Ministry of Science and Technology

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  6. A node-to-node scheme with the aid of variable-node elements for elasto-plastic contact analysis vol.102, pp.12, 2015, https://doi.org/10.1002/nme.4862
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  9. MULTISCALE FINITE ELEMENT METHOD FOR HETEROGENEOUS MEDIA WITH MICROSTRUCTURES: CRACK PROPAGATION IN A POROUS MEDIUM vol.01, pp.01, 2009, https://doi.org/10.1142/S1756973709000086
  10. Variable-node element families for mesh connection and adaptive mesh computation vol.43, pp.3, 2012, https://doi.org/10.12989/sem.2012.43.3.349