×

Automatic generation of hexahedral finite element meshes. (English) Zbl 0875.65027

Summary: FE-simulation of complex metal forming processes is often hampered by mesh distortion. In this case a new mesh of quadrilateral or hexahedral elements must be generated (remeshing). This cannot be done effectively by using currently available methods. This paper presents a new algorithm for the generation of hexahedral element meshes. The quality of the algorithm is demonstrated by the simulation of a complex forging process.

MSC:

65D17 Computer-aided design (modeling of curves and surfaces)
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Blacker, T. D.; Meyers, R. J., Seams and wedges in plastering: A 3-D hexahedral mesh generation algorithm, Eng. Comput., 9, 83-93 (1993)
[2] Blacker, T. D.; Stephenson, M. B., Paving: a new approach to automated quadrilateral mesh generation, Internat. J. Numer. Meth. Eng., 32, 811-847 (1991) · Zbl 0755.65111
[3] Cheng, J. H., Automatic adaptive remeshing for finite element analysis of metal forming, Internat. J. Numer. Meth. Eng., 26, 1-18 (1988) · Zbl 0626.73033
[4] Habraken, Am. and S. Cescotto, an automatic remeshing technique for finite element simulation of forming processes, Internat. J. Numer. Meth. Eng. 30, 1503-1525.; Habraken, Am. and S. Cescotto, an automatic remeshing technique for finite element simulation of forming processes, Internat. J. Numer. Meth. Eng. 30, 1503-1525.
[5] Ho-Le, K., Finite element mesh generation methods: a review and classification, Computer-Aided Design, 20, 27-38 (1988) · Zbl 0661.65124
[6] Hoyte, J., The cut & glue mesh generation algorithm, Eng. Comput., 8, 51-58 (1992) · Zbl 0794.65084
[7] Hughes, T. J.R., The Finite Element Method (1987), Prentice Hall: Prentice Hall Englewood Cliffs, NJ
[8] Knupp, P. M., On the invertibility of the isoparametric map, Comput. Meth. Appl. Mech. Eng., 78, 313-329 (1990) · Zbl 0707.73079
[9] Kobayashi, S.; Oh, S.-I.; Altan, T., Metal Forming and the Finite-Element Method (1989), Oxford University Press: Oxford University Press Oxford
[10] Kopp, R.; Thomas, R.; Debye, J.; Lausberg, L.; Schneiders, R.; Oberschelp, W., Optimization of metal forming processes, refinement and optimization of quadrilateral element meshes, (Proc. NUMIFORM (1992), Balkema: Balkema Rotterdam)
[11] Oddy, A.; Goldak, J.; McDill, M.; Bibby, M., A distortion metric for isoparametric finite elements, Trans. CSME, 12, 213-217 (1988)
[12] Razdan, A.; Henderson, M. R.; Chavez, P. F.; Erickson, P. A., Feature based object decomposition for finite element meshing, Visual Comput., 5, 291-303 (1989)
[13] Robinson, J. R., Some new distortion measures for quadrilaterals, Finite Elem. Anal. Des., 3, 183-197 (1987)
[14] Schneiders, R., Remeshing-Algorithmen für dreidimensionale Finite-Element-Simulationen von Umformvorgängen, (Ph.D. Thesis (1993), RWTH: RWTH Aachen)
[15] Schneiders, R.; Oberschelp, W.; Kopp, R.; Becker, M., New and effective remeshing scheme for the simulation of metal forming processes, Eng. Comput., 8, 163-176 (1992) · Zbl 0755.65127
[16] Shephard, M. S.; Georges, M. K., Automatic three-dimensional mesh generation by the finite octree-technique, Internat. J. Numer. Meth. Eng., 32, 709-750 (1991) · Zbl 0755.65116
[17] Wei, C. S., A multiregion finite element mesh generator based on deformable mesh templates, (Proc. 2nd Internat. Conf. on Reliability and Robustness of Engineering Software II. Proc. 2nd Internat. Conf. on Reliability and Robustness of Engineering Software II, Milan, Italy (1991))
[18] Yang, D. Y.; Yoon, J. H.; Lee, N. K., Modular remeshing: a practical method of 3D-remeshing in forging of complicated parts, Adv. Tech. Plas. Kyoto, 277-291 (1990)
[19] Zhu, J. Z.; Zienkiewicz, O. C.; Hinton, E.; Wu, J., A new approach to the development of automatic quadrilateral mesh generation, Internat. J. Numer. Meth. Eng., 32, 849-866 (1991) · Zbl 0755.65118
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.