Transactions of Materials Processing (소성∙가공)

The Korean Society for Technology of Plasticity and materials processing (한국소성∙가공학회)
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Finite Element Analysis of the Unconstrained Cylindrical Bending Process Considering Continuous Contact Treatment

연속 접촉 처리를 고려한 실린더 벤딩 성형 공정의 유한요소해석

  • 김태정 (한국과학기술원 기계공학과 대학원) ;
  • 양동열 (한국과학기술원 기계공학과)
  • Published : 2005.09.01
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Abstract

In general, the sheet metal and die are described by finite elements for the simulation of the metal forming processes. Because the characteristics as continuum of the sheet metal are represented with triangles and rectangles, the errors occur inevitably in finite element analysis. Many contact schemes to describe the deformation modes exactly have been introduced in order to decrease these errors. In this study, a scheme for continuous contact treatment is proposed in order to consider the realistic behavior of contact phenomena during the forming process. The discrete mesh causes stepwise propagation of contact nodes of the sheet even though the contact region of the real forming process is altered very smoothly. It gives rise to convergence problem in case that the process, for example bending process, is sensitive to the contact between the sheet and the tools. The analysis of the unconstrained cylindrical bending process without blank holder is also presented in order to investigate the effect of the proposed algorithm.

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References

  1. Y. T. Keum, E. Nakamachi, R. H. Wagoner, J. K. Lee, 1990, Compatible description of tool surfaces and FEM mesh for analyzing sheet forming operations, Int. J. Numer. Meth. Engng., vol. 30 , pp. 1471-1502 https://doi.org/10.1002/nme.1620300810
  2. D. J. Yoo, I. S. Song, D. Y. Yang, J. H. Lee, 1994, Rigid-plastic finite element analysis of sheet metal forming processes using continuous contact treatment and membrane elements incorporating bending effect, lnt. J. Mech. Sci., vol. 36(6), pp. 513 -546 https://doi.org/10.1016/0020-7403(94)90030-2
  3. T. Shimizu, T. Sano, 1995, An application of a penalty method contact and friction algorithm to a 3-dimensional tool surface expressed by a B-spline patch, J. Mater. Process. Tech., vol. 48, pp. 207-213 https://doi.org/10.1016/0924-0136(94)01651-G
  4. A. Santos, A. Makinouchi, 1995, Contact strategies to deal with different tool descriptions in static explicit FEM for 3-D sheet-metal forming simulation, J. Mater. Process. Tech., vol. 50, pp. 277-291 https://doi.org/10.1016/0924-0136(94)01391-D
  5. W. R. C. Underhill, M. A. Dokainish, G. AE. Oravas, 1997, A method for contact problems using virtual elements, Comput. Methods. Appl. Mech. Engrg., vol. 143, pp. 229-247 https://doi.org/10.1016/S0045-7825(94)00764-0
  6. H. Parisch, CH. Lubbing, 1997, A formulation of arbitrarily shaped surface elements for three-dimensional large deformation contact with friction, lnt. J. Numer. Meth. Engng., vol. 40, pp. 3359-3383 https://doi.org/10.1002/(SICI)1097-0207(19970930)40:18<3359::AID-NME217>3.0.CO;2-5
  7. L. Fourment, J. L. Chenot, K. Mocellin, 1999, Numerical formulations and algorithms for solving contact problems in metal forming simulation, Int. J. Numer. Meth. Engng., vol. 46, pp. 1435-1462 https://doi.org/10.1002/(SICI)1097-0207(19991130)46:9<1435::AID-NME707>3.0.CO;2-9
  8. C. Kane, E. A. Repetto, M. Ortiz, J. E. Marsden, 1999, Finite element analysis of nonsmooth contact, Comput. Methods. Appl. Mech. Engrg., vol. 180, pp. 1-26 https://doi.org/10.1016/S0045-7825(99)00034-1
  9. R. E. Jones, P. Papadopoulos, 2001, A novel three-dimensional finite element based on smooth pressure interpolations, Int. J. Numer. Meth. Engng., vol. 51, pp. 791-811 https://doi.org/10.1002/nme.163.abs
  10. N. El-Abbasi, S. A. Meguid, A. Czekanski, 2001, On the modeling of smooth contact surfaces using cubic splines, Int. J. Numer. Meth. Engng., vol. 50, pp. 953-967 https://doi.org/10.1002/1097-0207(20010210)50:4<953::AID-NME64>3.0.CO;2-P
  11. P. Wriggers, L. Krstulovic-Opara, J. Korelc, 2001, Smooth C-interpolations for two-dimensional frictional contact problems, Int. J. Numer. Meth. Engng., vol. 51, pp. 1469-1495 https://doi.org/10.1002/nme.227
  12. T. Belytschko, W. J. T. Daniel, G. Ventura, 2002, A new contact algorithm with smoothing based on implicit functions, Proceedings of NUMISHEET, pp. 287-293
  13. V. Padmanabhan, T. A. Laursen, 2001, A framework for development of surface smoothing procedures in large deformation frictional contact analysis, Finite Elements in Analysis and Design., vol. 37, pp. 173-198 https://doi.org/10.1016/S0168-874X(00)00029-9
  14. 서의권, 심현보, 1997, 일반적인 금형면에서의 접촉탐색과 3 차원 디프드로잉 성형에의 응용, 한국소성가공학회지, 제 6 권 5 호, pp. 416-424