참고문헌
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 서의권, 심현보, 1997, 일반적인 금형면에서의 접촉탐색과 3 차원 디프드로잉 성형에의 응용, 한국소성가공학회지, 제 6 권 5 호, pp. 416-424