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Consideration on the Results of Metal Forming Simulation Based on MINI-Elements

MINI-요소를 이용한 소성가공 공정 시뮬레이션 결과에 관한 고찰

  • Published : 2004.10.01

Abstract

In this paper, the rigid-viscoplastic finite element solutions obtained by MINI-elements based triangular elements and tetrahedral elements are compared with those obtained from numerically well-behaved rectangular and hexahedral elements. The theoretical background of the MINI-elements is introduced in detail and the rigid-viscoplastic finite element formulation is also given. Discussion on the results of the MINI-elements is made with emphasis on the effect of a stabilizer simplifying velocity-bubble coupled terms.

Keywords

References

  1. Lee, C. H. and Kobayashi, S., 1973, 'New Solutions to Rigid-Plastic Deformation Problems Using a Matrix Method,' ASME, J. Eng. Ind., Vol. 95, pp. 865-873 https://doi.org/10.1115/1.3438238
  2. Brooks, A. N. and Hughes, T.J.R., 1982, 'Streamline Upwind/Petrov-Galerkin Formulations for Convective Dominated Flows with Particular Emphasis on the Incompressible Navier-Stokes Equations,' Comput. Methods Appl. Meek Engrg., Vol. 32, pp. 199-259 https://doi.org/10.1016/0045-7825(82)90071-8
  3. Arnold, D. N., Brezzi, F. and Fortin, M., 1984, 'A Stable Finite Element for Stokes Equations,' Calcolo, Vol. 21, pp. 337-344 https://doi.org/10.1007/BF02576171
  4. Perchat, E., Mini-element et Factorization Incompletes pour la Parallelisation d'un Solveur de Stokes 2D. Application au Forgeage, 2000, Theses de Doctoral en Sciences et Ge'nie des Mateiaux, ENSMP
  5. Bertrand, F. H., Gadbois, M. R. and Tanguy, P. A., 1992, 'Tetrahedral Elements for Fluid Flow,' Int. J. Numer. Methods Eng., Vol. 33, pp. 1251-1267 https://doi.org/10.1002/nme.1620330610
  6. Zienkiewicz, O.C. and Taylor, R.L., 2000, The Finite Element Method, Volume 1, Butterworth-Heinemann, Oxford, 5th edition
  7. Li, G., Jinn, J. T, Wu, W. T. and Oh, S. I., 2001, 'Recent Development and Applications of Three-Dimensional Finite Element Modeling in Bulk Forming Processes,' J. Mat. Proc. Tech., Vol. 113, pp. 40-45 https://doi.org/10.1016/S0924-0136(01)00590-8

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