Remeshing Criterion for Large Deformation Finite Element Analyses Based on the Error Calculation

오차계산에 기초한 대변형 유한요소 해석에서의 요소망 재구성 기준

  • Published : 1995.03.01

Abstract

It often happens some elements are so largely distorted during a large-deformation finite element analysis that further calculation becomes impossible or the approximation error increases rapidly. This problem can be overcomed only by remeshing at several suitable stages. The present study aimed to establish the criterion based on the error estimators, and examined in the simulation and posterior error analysis of ring compression test to demonstrate the usefulness of them. The distribution of each error estimator and its variation during deformation were investigated. All the error estimators were increased monotonously with deformation and decreased rapidly at remeshing stage. It was shown that the error estimators suggested in this study are good measures as remeshing criterion for large deformation finite element analyses.

Keywords

References

  1. Int. J. Numer. Methods Eng. v.30 An Automatic Remeshing Technique for Finite Element Simulation of Forming Processes A.M.Habraken;S.Cescotto
  2. 대한기계학회 ’94년도 고체역학부문 학술대회 논문집 대변형 해석에서 유한요소망의 재구성 기준 채수원;조해규
  3. Int. J. Numer. Methods Eng. v.28 Adaptive 2D Finite Element Simulation of Metal Forming Processes H.T.Y.Yang;M.Heinstein;J.M.Shih
  4. Int. J. Numer. Methods Eng. v.12 A Posteriori Error Estimates for the Finite Element Method I.Babuska;W.C.Rheinboldt
  5. Int. J. Numer. Methods Eng. v.20 The Self-Equilibration of Residuals and Complementary A Posteriori Error Estimates in the Finite Element Method D.W.Kelly
  6. Ph. D. Thesis. Massachusetts Institute of Technology On the Automatic Generation of Near-Optimal Meshes for Three-Dimensional Linear Elastic Finite Element Analysis S.W.Chae
  7. Int. J. Numer. Methods Eng. v.24 A Simple Error Estimator and Adaptive Procedure for Practical Engineering Analysis O.C.Zienkiewicz;J.Z.Zhu
  8. Int. J. Numer. Methods Eng. v.28 Analysis of the Zienkiewicz-Zhu A-Posteriori Error Estimator in the Finite Element Method M.Ainsworth;J.Z.Zhu;A.W.Craig;O.C.Zienkiewicz
  9. Comp. Meth. Appl. Mech. Eng. v.53 On an h-Type Mesh Refinement Strategy Based on Minimization of Interpolation Errors L.Demkowicz;Devloo;J.T.Oden
  10. Comp. Meth. Appl. Mech. Eng. v.55 Adaptive Grid-Design Methods for Finite Element Analysis N.Kikuchi
  11. Int. J. Numer. Methods Eng. v.29 Two-Dimensional Mesh Generation Adaptive Remeshing and Refinement H.Jin;N.E.Wiberg
  12. Int. J. Numer. Methods Eng. v.25 Error Estimation and Adaptivity in Flow Formulation for Forming Problems O.C.Zienkiewicz;Y.C.Liu;G.C.Huang
  13. Int. J. Numer. Methods Eng. v.26 Automatic Adaptive Remeshing for Finite Element Simulation of Forming Processes J.H.Cheng
  14. Proc. 3rd ICTP v.4 An Adaptive Remeshing Method for Analysis of Metal Forming Processes N.Yukawa;N.Kikuchi;A.Tezuka
  15. 대변형 해석을 위한 요소망 재구성법 연구 박삼진;채수원;신보성;김동원;김형종
  16. DEFTEM Manual:DEFTEM-A Tool for Analyzing Metal Forming Processes 김낙수
  17. I-DEAS Finite Element Modelling-User’s Guide Structural Dynamics Research Corporation