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대변형 해석에서 평활화를 이용한 사면체 요소망의 재조성


Abstract

The remeshing is a method to replace a distorted mesh by a new mesh without interrupting the finite element calculation. The remeshing procedure in this paper refers to the rezoning, for which a sm oothing process is developed to alleviate the distortions of mesh. In the paper, an automatic finite element rezoning system with tetrahedral elements for large deformation analysis has been developed. Our smoothing process is composed of two steps, a surface smoothing and a volume smoothing. In the surface smoothing, checking the dihedral angle and projection on surface patch reduced the change of shape and nodes penetrating die. The constrained Laplacian smoothing has been employed for the volume smoothing process. The state variables are mapped from old mesh to new mesh by using volume coordinates within a tetrahedral element. All these procedures have been linked to the NIKE3D program As illustrated in the examples the overall strategy ensures a robust and efficient rezoning scheme for finite element simulation of metal-forming processes.

Keywords

References

  1. Cheng, J. H., 1988, 'Automatic Adaptive Remeshing for Finite Element Simulation of Forming Processes,' J. of Numer. Methods Engng., Vol. 26, pp. 1-18 https://doi.org/10.1002/nme.1620260102
  2. Habraken, A. M. and Cescotto, S., 1990, 'An Automatic Remeshing Technique for Finite Element Simulation of Forming Processes,' J. of Numer. Methods Engng., Vol. 30, pp. 1503-1525 https://doi.org/10.1002/nme.1620300811
  3. Wu, W. T., 1990, 'Automated Mesh Generation for Forminmg Simulation,' Ph.D.Dissertation, The Ohio State Univ.
  4. 이낙규, 윤정호, 양동열, 1989, '강소성 유한요소법을 이용한 냉간단조 금형 및 가공 공정해석,' 대한기계학회논문집, 제13권, 제6호, pp. 1070-1081
  5. 권기환, 김형일, 채수원, 신상엽, 1999, 'NIKE3D를 이용한 요소망 재구성 시스템,' 대한기계학회 추계학술대회 논문집(A), pp. 407-412
  6. 곽대영, 임용택, 1998, '격자 재구성을 위한 사각형요소 자동 생성기 개발,' 대한기계학회 A 권, 제22권, 제9호, pp. 1639-1653
  7. Joun, M.S. and Lee, M.C., 1997, 'Quadrilateral Finite element Generation and Mesh Quality Control for Metal Forming Simulation,' Int. J. Numer. Methods Engng., Vol. 40, pp. 4059-4075 https://doi.org/10.1002/(SICI)1097-0207(19971115)40:21<4059::AID-NME249>3.0.CO;2-E
  8. 이영규, 양동열, 1997, '마스터 그리드를 이용한 자동 격자구성법과 소성가공공정해석에서의 응용,' 대한기계학회 추계학술대회 논문집, pp. 884-888
  9. Yang, H. T. Y., Heinstein, M. and Shin, J. M., 1989, 'Adaptive 2D Finite Element Simulation of metal Forming Processes,' Int.J.Numer.Methods Eneng., vol. 28, pp. 1409-1428 https://doi.org/10.1002/nme.1620280612
  10. Chae, S.W., Cho, H.G. and Park, J.J., 1994, 'Error Estimate as a Remeshing Criterion for Finite Element Analysis of Forming Processes,' Proc. of Pacific Conference on Manufacturing, Jakarta, pp. 427-434
  11. 조해규, 채수원, 박종진, 1996, '유한요소해석에서 요소망의 재구성을 위한 기준,' 대한정밀공학회, 제13권, 제10호, pp. 78-87
  12. David A. Field, 1988, 'Laplacian smoothing and Delaunay Triangulations,' Communication in Applied Numerical Methods, Vol. 4, pp. 709-712 https://doi.org/10.1002/cnm.1630040603
  13. Parthasarathy, V. N., 1991, 'A Constrained Optimization Approach to Finite Element Mesh Smoothing,' Finite Elements in Analysis and Design, Vol. 9, pp. 309-320 https://doi.org/10.1016/0168-874X(91)90004-I
  14. Scott A. Canann, Michael B. Stephenson, Ted Blacker, 1993, 'Optismoothing: An Optimization-Driven Approach to Mesh Smoothing,' Finite Elements in Analysis and Design, Vol. 13, pp. 185-190 https://doi.org/10.1016/0168-874X(93)90056-V
  15. Bradley N. Maker, 1991, 'NIKE3D User's Manual, LLNL, UCRL-MA-105268, Method Development Group Mechanical Engineering