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New and effective remeshing scheme for the simulation of metal forming processes. (English) Zbl 0755.65127

The finite element method (FEM) is used for the simulation of metal forming processes with complicated die geometries. The given version is restricted to 2-D and uses a remeshing scheme added to FINEL, a FEM program. The remeshing scheme has to fulfill the following requirements:
– The mesh consists of convex quadrilateral elements having internal angles close to 90 degrees.
– The region to be meshed is a polygonal area.
– Since volume conservation is required it is sufficient to mesh the region approximately.
– Meshing should be robust.
The authors propose a novel automatic, two-dimensional quadrilateral mesh generator. Mesh generation is performed by means of image processing and computational geometry. Some concrete applications are given.

MSC:

65Z05 Applications to the sciences
35Q72 Other PDE from mechanics (MSC2000)
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
80M99 Basic methods in thermodynamics and heat transfer
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References:

[1] M.L. Cho (1987) Bewertung der Anwendbarkeit der FEM fuer die Umformtechnik, Verlag Stahleisen
[2] R. Kopp, M. Becker (1990) A concept for dynamic Remeshing at FEM-simulation shaved by the example of the forging process, ICTP 90, Kyoto, Japan
[3] P. Brooks (1987) Verifying finite element results; a graphical approach. J. Eng. Comp. Appli., 19-27
[4] P.L. Baehmann, M.S. Shephard, R.A. Ashley, A. Jay (1988) Automated metal forming analysis utilizing adaptive remeshing and evolving geometry, Comp. Struc. 30, 319-326 · Zbl 0668.73039
[5] P.L. Baehmann, S.L. Wittchen, M.S. Shephard, K.R. Grice, M.A. Yerry (1987) Robust, geometrically based, automatic two dimensional mesh generation, Int. J. Num. Meth. Eng. 24, 1043-1078 · Zbl 0618.65116
[6] A.M. Habraken, J.P. Radu (1989) Simulation of forging applications with the finite element method. NUMIFORM 89, Thompson et al. (eds.), 543 ff.
[7] L.J. Hageman (1987) Automatic adaptive remeshing in EALPID, an advanced forging simulation program, Comp. Eng.
[8] A.J.G. Schoofs, L.H.Th.M. von Beukering, M.C. de Sluiter (1979) TRIQUAMESH: A general purpose two dimensional mesh generator. Adv. Eng. Software 1 (3)
[9] W.T. Wu, S.I. Oh, T. Altan, R.A. Miller (1990) Automated mesh generation for forming simulation?I, Proc. ASME Int. Comp. Eng. Conf., Boston
[10] J.H. Cheng (1988) Automatic adaptive remeshing for finite element simulation of forming processes, Int. Jou. Num. Meth. Eng. 26, 1-18 · Zbl 0626.73033
[11] K. Ho-Le (1988) Finite element mesh generation methods: A review and classification. Comp. Aid. Des. 20, No. 1 · Zbl 0661.65124
[12] J.A. Talbert, A.R. Parkinson (1990) Development of an automatic two dimensional finite element mesh generator using quadrilateral elements and Bézier curve boundary definition. Int. Jou. Num. Meth. Eng. 29, 1551-1567
[13] E.A. Heighway (1983) A mesh generator for automatically subdividing irregular polygons into quadrilaterals, IEEE Trans. Magn. MAG-19, No. 6, 2535 ff.
[14] W. Oberschelp, M. Bierwagen (1991) Mathematische Methoden der Bildcodierung und Computergrafik, Internal report RWTH
[15] D. Hearn, M.P. Baker (1986) Computer Graphics. Prentice Hall, Englewood Cliffs, NJ · Zbl 0826.68124
[16] T. Pavlidis (1982) Algorithms for Graphics and Image Processing, Computer Science Press · Zbl 0482.68086
[17] R. Schneiders (1989) Generierung von zulässigen Vierecksnetzen für die FEM-Methode, Lehrstuhl für angewandte Mathematik insb. Informatik
[18] U. Strieder (1989) Entwicklung von Kriterien zur Messung der geometrischen Entartung von 2-dimensionalen FEM-Netzen aus 4-Knoten-Elementen, Int. Report IBF, Aachen
[19] K. Lange, W. Osen (1985) Cold extrusion processes combined with radial extrusion. Man. Eng. Transactions
[20] Comm. ACM, Vol. 2.4, Algorithm 508
[21] M. Becker (to appear) Anwendung von höheren Optimierungsmethoden in der Umformtechnik, Ph.D. thesis
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