• Title/Summary/Keyword: super convergent patch recovery

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Buckling Analysis of Box-typed Structures using Adaptive Finite Elements (적응적 유한요소를 이용한 박스형 구조물의 좌굴해석)

  • Song, Myung-Kwan;Kim, Sun-Hoon
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.271-274
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    • 2007
  • The finite element linear buckling analysis of folded plate structures using adaptive h-refinement methods is presented in this paper. The variable-node flat shell element used in this study possesses the drilling D.O.F. which, in addition to improvement of the element behavior, permits an easy connection to other elements with six degrees of freedom per node. The Box-typed structures can be analyzed using these developed flat shell elements. By introducing the variable node elements some difficulties associated with connecting the different layer patterns, which are common in the adaptive h-refinement on quadrilateral mesh, can be overcome. To obtain better stress field for the error estimation, the super-convergent patch recovery is used. The convergent buckling modes and the critical loads associated with these modes can be obtained.

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Buckling Analysis of Box-typed Structures using Adaptive Shell Finite Elements (적응적 쉘유한요소를 이용한 박스형 구조물의 좌굴해석)

  • Song, Myung-Kwan;Kim, Sun-Hoon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.3
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    • pp.265-272
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    • 2007
  • The finite element linear buckling analysis of folded plate structures using adaptive h-refinement methods is presented in this paper. The variable-node flat shell element used in this study possesses the drilling D.O.F. which, in addition to improvement of the element behavior, permits an easy connection to other elements with six degrees of freedom per node. The Box-typed structures can be analyzed using these developed flat shell elements. By introducing the variable-node elements some difficulties associated with connecting the different layer patterns, which are common in the adaptive h-refinement on quadrilateral mesh, can be overcome. To obtain better stress field for the error estimation, the super-convergent patch recovery is used. The convergent buckling modes and the critical loads associated with these modes can be obtained.

Adaptive Finite Element Analysis of 2-D Plane Problems Using the rp-Method (절점이동과 단항증가법에 의한 이차원 평면문제의 적응 유한요소 해석)

  • 박병성;임장근
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.1
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    • pp.1-10
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    • 2004
  • Adaptive finite element analysis, in which its solution error meets with the user defined allowable error, is recently used to improve the reliability of finite element analysis results. This adaptive analysis is composed of two procedures; one is the error estimation of an analysis result and the other is the reconstruction of finite elements. In the (p-method, an element size is controlled by relocating of nodal positions (r-method) and the order of an element shape function is determined by the hierarchical polynomial (p-method) corresponding to the clement solution error by the enhanced SPR. In order to show the effectiveness and the accuracy of the suggested rp-method, various numerical examples were analyzed and these analysis results were examined by comparing with those obtained by the existed methods.

Elasto-plastic nonconforming solid element with variable nodes

  • Choi, Chang-Koon;Chung, Gi-Taek
    • Structural Engineering and Mechanics
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    • v.3 no.4
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    • pp.325-340
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    • 1995
  • The iterative procedure to use the nonconforming elements in elasto-plastic problems is established and applied to the variable node transition solid element developed for the automated three-dimensional local mesh refinement. Through numerical tests, the validity and performance of the element are examined. As the nonlinear iterative procedure presented in this paper is accomplished for the general three-dimensional case, it can also be easily applied to the two-dimensional elements such as membranes, plates and shells.