Methodes de remaillage automatique appliquees a Ia modification de modele
Keywords:
CAD/CAM, mesh generation, remesh, density, adaptive meshAbstract
The design process usually implies modifications of an initial design solution. At this point, design tools do not allow to perform these modifications efficiently enough. Particularly, when using FE methods, a new FE model has to be rebuilt in order to take into account any modification of the geometric model. We present in this paper an original approach allowing the automatic remeshing of 3D parts, which allows a better integration of FE methods in the whole CAD/CAM process. The optimization of the automatic remeshing is achieved through a mesh pre-optimization based on the discretization error. This introduces, in the FE analysis process, a mesh that represents a better approximation of the initial model.
Downloads
References
[CHA 89] CHAE S. W., BATHE K. J, <
refinement in finite element analysis>>, Computers & Structures, Vol 32, p. 911-936,
[COU 91] COUPEZ T., << Grandes transformations et remaillage automatique >>, These
ENSMP, Paris, 1991.
[CUI 93] CUILLIERE J. C. « Pre-optimisation de maillages automatiques tridimensionnels
pour les methodes numeriques application a l'ingenierie simultanee >>, These, Institut
National Polytechnique de Lorraine - INPL - decembre 1993.
parametric curves>>, Computer-Aided Design, Vol 29, p. 639-647, 1997.
[CUI 98] CUILLIERE J. C. <
parametric surfaces>>, Computer-Aided Design, Vol 30, p. 139-149, 1998.
[DOC 76] DO CARMO M. P. << Differential geometry of curves and surfaces >>Prentice-Hal/,
Englewood Cliffs, New Jersey, 1976.
[FIL 86] FILIP D., MAGEDSON R., MARKOT R. <
derivates >>, Computer aided geometric design, Vol 3, p. 295-311, 1986.
[FRA 97] FRANCOIS V., CUILLIERE J. C., GUEURY M. <
automatique appliquees a Ia modification de modeles >>,Revue intemationale de CFAO et
d'informatique graphique, Voll2, N" 5, p. 531-552, 1997.
[FRA 98-1] FRANCOIS V., CUILLIERE J. C., GUEURY M. <
Remeshing in the Simultaneous Engineering Context >>, A paraitre dans Research in
Engineering Design.
[FRA 98-2] FRANCOIS. V << Methodes de maillage et de remaillage automatiques appliquees
a Ia modification de modele dans le contexte de l'ingenierie simultanee >>, These
Universite Henri Poincare, Nancy I, 1998.
[GEO 90] GEORGE P. L. Generation automatique de maillages. Applications aux methodes
d'elementsjinis, Collection RMA, n" 16, Ed. Masson, Paris, 1990.
[GEO 93] GEORGE P. L., HENOT F., BRIERE DE L'ISLE E.<< Optimisation de maillages
tl~traedriques », StruCome 93, Paris, p. 317-329, 1993.
[GEO 97 ] GEORGE P. L., BOURACHAKI H. Triangulation de Delaunay et maillage ;
applications aux elements finis, Ed. Hermes, 1997.
[LEE 98] LEE C. K., HOBBS R. E. «Automatic adaptive finite elment mesh generation over
B-spline surfaces>>, Computers and Structures, 69, p. 577-608, 1998.
[LOH 88] LOHNER R., PARIKH P. <
the advancing-front method.>> lnt J. Num. Meth. Fluids ,Vol8, p. 1135-1149, 1988.
[MOL 95] MOLLER P., HANSBO P. «On advancing front mesh generation in three
dimensions »,Int. J. Num. Meth. Eng. ,Vol38, p. 3551-3569, 1995.
[MOR 85] MORTENSON M. E., Geometric modeling, John Wiley & Sons, New York, 1985.
[PER 88] PERRAIRE J.,PEIRO. J., FORMAGGIA F., MORGAN K., ZIENKIEWICZ 0. C.,
<< Finite element euler computations in three dimensions >>, Int. J. Num. Met h. Eng.,
Vol26, p. 2135-2159, 1988.
[PRE 75] PRENTER P. M., Spline and variational methods, Edition Wiley, 1989. Version
originale 1975.
[RAS 95] RASSINEUX A., << Maillage automatique tridimensionnel par une methode frontale
pour Ia methode des elements finis >>, These Universite Henri Poincare, Nancy I, janvier
[RAS 97]RASSINEUX A., << 3D mesh adaptation. Optimisation of tetrahedral meshes by
advancing front technique.>> Comput. Methods Appl. Mech. Engrg. 141 p. 335-354, 1997.
[REQ 83] REQUICHA A. A. G., VOELKER H. B., << Solid modeling : current status and
research directions >>,IEEE Comput. Graph. Appl., Vol 3 W 7 p. 25-37, 1983.
[TRI 98] TRISTANO, J. R., STEVEN J. 0, SCOTT A. C. <
generation in parametric space using a riemannian surface definition >> Proceedings 7th
International Meshing Roundtable, Dearborn, MI, octobre 1998.
