Three-dimensional finite element analysis for hollow section extrusion of a triply-connected section using mismatching refinement with domain decomposition

Engineering Computations (Swansea, Wales)

Volumn 17, Issue 2-3, 2000, Pages 235-254

  Park, K ^a   Yang, D Y ^b   Kang, Y S ^c  

^a Samsung Electro Mechanics   (South Korea)

^b Department of Mechanical Engineering ^*  (South Korea)

^c Institute for Advanced Engineering (IAE)   (South Korea)

Author keywords

3D; Dies; Finite element method

Indexed keywords

COMPUTER SIMULATION; DECOMPOSITION; DIES; FINITE ELEMENT METHOD; GEOMETRY; PARTIAL DIFFERENTIAL EQUATIONS; PRODUCT DESIGN; THREE DIMENSIONAL;

DESIGN MODIFICATION; HOLLOW SECTION EXTRUSION PROCESS; MESH DENSITY; THREE DIMENSIONAL (3D) FINITE ELEMENT ANALYSIS;

EXTRUSION;

EID: 2442533026     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644400010324875     Document Type: Article

References (26)

1. Akeret, R. (1992), "Extrusion welds - quality aspects are now center stage", Proc. 5th Aluminum Extrusion Tech. Seminar, pp. 319-36.
2. Babuska, I. and Rheinboldt, W.C. (1978), "Error estimates for adaptive finite element method computation", SIAM J. of Numer. Anal., Vol. 15, pp. 736-54.
3. Chen, C.C. and Kobayashi, S. (1978), "Rigid-plastic finite element analysis of ring compression, applications of numerical methods to forming processes", ASME, AMD, Vol. 28, pp. 163-74.
4. Choi, C.K. and Park, Y.M. (1992), "An adaptive h-refinement using transition element for bending problems", Int. Jnl. Numer. Math. Engng., Vol. 35, pp. 145-63.
5. Dryja, M. and Widlund, O. (1992), "Additive Schwarz methods for elliptic finite element problems in three-dimensions", in Chan, T.F., Keyes, D.E., Meurant, G.A., Scroggs, J.S. and Voight, R.G. (Eds), Proc. 5th Conf. Domain Decomposition Meths. for Partial Differential Equations, Soc. Indust. Appl. Math., Philadelphia.
6. Farhat, C. (1991), "A Lagrange multiplier based divide and conquer finite element algorithm", J. Comput. System Engng., Vol. 2, pp. 149-56.
7. Fish, J. and Belsky, V. (1997), "Generalized aggregation multilevel solver", Int. J. Numer. Meth. Engng., Vol. 40, pp. 4341-61.
8. Kang, Y.S. and Yang, D.Y. (1995), "Rigid viscoplastic finite element analysis of hot square die extrusion of complicated profiles with flow guides and lands by arbitrary Lagrangian-Eulerian formulation", Proc. 5th Int. Conf. Num. Meth. Indust. Forming Processes, pp. 841-6.
9. Kang, Y.S. and Yang, D.Y. (1996), "Investigation into the thermo-viscoplastic finite element analysis of square die extrusion of square section with Lagrangian description", Int. J. Mach. Tools Manufact., Vol. 36, pp. 907-24.
10. Knight, J.W. (1964), Aluminum Extrusion Alloys, KAISER Aluminum and Chemical Sales, Inc.
11. Le Tallec, P. (1994), "Domain decomposition methods in computational mechanics", Comp. Mach. Adv. Vol. 1, pp. 121-220.
12. Lee, C.H. and Kobayashi, S. (1973), "New solution to rigid plastic deformation using a matrix method", ASME, J. Engng. Indust., Vol. 95, pp. 865-73.
13. Lee, C.K. and Lo, S.H. (1992), "An automatic adaptive refinement finite element procedure for 2d elatostatic analysis", Int. J. Numer. Meth. Engng., Vol. 35, pp. 1967-89.
14. Lee, C.M., Yang, D.Y. and Kim, M.U. (1990), "Numerical analysis of three-dimensional extrusion of arbitrarily shaped sections by the method of weighted residuals", Int. J. Mech. Sci., Vol. 32, pp. 65-82.
15. Mooi, H.G. and Huetink, J. (1995), "Simulation of complex aluminum extrusion using an arbitrary Eulerian Lagrangian formulation", Proc. 5th Int. Conf. Num. Meth. Indust. Forming Processes, pp. 869-74.
16. Mori, K., Osakada, K. and Yamaguchi, H. (1993), "Prediction of curvature of an extruded bar with noncircular cross-section by a 3-d rigid-plastic finite element method", Int. J. Mech. Sci., Vol. 35, pp. 879-87.
17. Park, K. and Yang, D.Y. (1999), "Mismatching refinement with domain decomposition for the analysis of steady-state metal forming process" accepted for publication in Int. J. Numer. Meth. Engng.
18. Rheinboldt, W.C. (1981), "Adaptive mesh refinement processes for finite element solutions", Int. J. Numer. Meth. Engng., Vol. 17, pp. 649-62.
19. Rodrigue, G. and Shah, S. (1989), "Pseudo-boundary conditions to accelerate parallel Schwarz methods", in Carey, G.F. (Ed.), Parallel Supercomputing: Method, Algorithm and Applications, Wiley, New York, pp. 77-88.
20. Schwarz, H.A. (1869), "Uber einige Abbildungensaufgaben", J. Reine Angew. Math., Vol. 70, pp. 105-20.
21. Sobolev, S. (1936), "L'algorithm de Schwarz dans la théorie de l'elasticité", Comptes Rendus de l'Académie des Sciences de L'URSS, Vol. IV, pp. 243-6.
22. Yang, D.Y., Lee, C.M. and Yoon, J.H. (1989), "Finite element analysis of steady-state three-dimensional extrusion of sections through curved dies", Int. J. Mech. Sci., Vol. 31, pp. 145-56.
23. Yoon, J.H. and Yang, D.Y. (1988), "Rigid-plastic finite element analysis of three-dimensional forging by considering friction on continuous curved dies with initial guess generation", Int. J. of Mech. Sci., Vol. 30, pp. 887-98.
24. Zhang, X.Q., Lam, Y.C. and Devadas, C. (1993), "Progress in numerical simulation of extrusion of aluminum sections", Proc. 4th Int. Conf. Tech. Plasticity, pp. 16-21.
25. Zienkiewicz, O.C. and Zhu, J.Z. (1987), "A simple error estimator and adaptive procedure for practical engineering analysis", Int. J. Numer. Meth. Engng., Vol. 24, pp. 337-57.
26. Zienkiewicz, O.C., Liu, Y.C. and Huang, G.C. (1988), "Error estimation and adaptivity in flow formulation for forming problems", Int. J. Numer. Meth. Engng., Vol. 25, pp. 23-42.