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MLS-Based Finite Elements and a Proposal for Their Applications  

Cho, Young-Sam (원광대학교 기계자동차공학부)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.22, no.4, 2009 , pp. 335-341 More about this Journal
Abstract
In this paper, review of developed MLS-based finite elements and a proposal for their applications are described. The shape functions and their derivatives of MLS-based finite elements are constructed using Moving-Least Square approximation. In MLS-based finite element, using the adequate influence domain of weight function used in MLS approximation, kronecker delta condition could be satisfied at the element boundary. Moreover, because of the characteristics of MLS approximation, we could easily add extra nodes at an arbitrary position in MLS-based finite elements. For these reasons, until now, several variable-node elements(2D variable element for linear case and quadratic case and 3D variable-node elements) and finite crack elements are developed using MLS-based finite elements concept. MLS-based finite elements could be extended to 2D variable-node triangle element, 2D finite crack triangle element, variable-node shell element, finite crack shell element, and 3D polyhedron element. In this paper, we showed the feasibility of 3D polyhedron element at the case of femur meshing.
Keywords
MLS-based finite element; MLS-based variable-node element; finite crack element; polyhedron element; discontinuity problem; complex mesh;
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