Abstract
This paper discusses the role of geometry in achieving automation of the overall finite element analysis process. Emphasis is placed on the geometry requirements for two of the key technologies within this process: fully automatic mesh generation and adaptive analysis. A geometric framework that permits the implementation of automated finite element procedures is presented. This includes high-level geometry-based problem specification and control, powerful data structures, and the geometric functionality that is necessary to support automation. An open architecture system, called TAGUS, which incorporates these notions and permits manipulation of geometry, topology, and attribute data from within an applications program, is also presented. In addition, the paper contrasts the geometry requirements of problems with static domains versus the special considerations that must be given for dynamically changing domains. Finally, a view of an integrated system architecture for analysis automation is presented.
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References
K. Weiler (1986) Topological Structures for Geometry Modeling, PhD thesis, Rensselaer Polytechnic Institute, Troy, NY
Cavendish, J.C.; Field, D.A.; Frey, W.H. (1985) An approach to automatic three-dimensional finite element mesh generation. Int. J. Num. Meth. Eng. 21, 329–347
Nguyen, V.P. (1982) Automatic mesh generation with tetrahedron elements. Int. J. Num. Meth. Eng. 18, 273–280
Woo, T.C.; Thomasma, T. (1984) An algorithm for generating solid elements in objects with holes. Comput. Struct. 8(2), 333–342
Wordenweber, B. (1980) Volume Triangulation, CAD Group Document No. 110, University of Cambridge, Computer Laboratory, Cambridge, CB2 3QG, England
Sluiter, M.L.C.; Hansen, D.C. (1982) A general purpose automatic mesh generator for shell and solid finite elements. Comput. Eng. 3, 29–34
Yerry, M.A.; Shephard, M.S. (1985) Automatic three-dimensional mesh generation by the modified-octree technique. Int. J. Num. Meth. Eng. 20, 1965–1990
Kela, A.; Perucchio, R.; Voelcker, H.B. (1986) Toward automatic finite element analysis. Comput. Mech. Engr. 5(1), 57–71
Sibson, R. (1978) Locally equiangular triangulations. Comput. J. 21(3), 243–245.
Lee, Y.T.; Requicha, A.A.G. (1982) Algorithms for computing the volume and other integral properties of solids. Commun. ACM 25(9), 635–650
Kela, A. (in press) Hierarchical octree approximations for boundary representation based geometric models. Comput. Aided Des.
Schroeder, W.J. ; Shephard, M.S. (1989) A combined octree/Delaunay method for fully automatic 3-D mesh generation. Int. J. Num. Meth. Eng.
Babuska, I.; Zienkiewicz, O.C., Gago, J.; Oliveira, E.R. de A. (1986) Accuracy estimates and adaptive refinements in finite element computations. New York: John Wiley
Diaz, A. R.; Kikuchi, N.; Taylor, J.E. (1983) Optimization for finite element methods. Comput. Meth. Appl. Mech. Eng. 37, 29–46
Babuska, I.; Rheinboldt, W. C. (1980) Reliable error estimation and mesh adaptation for the finite element method. (Ed. J.T. Oden). Comput. Meth. Nonlin. Mech. 67–108
Vanderplaats, G. (1984) Numerical Optimization Techniques for Engineering Design: With Applications. New York: McGraw-Hill
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Finnigan, P.M., Kela, A. & Davis, J.E. Geometry as a basis for finite element automation. Engineering with Computers 5, 147–160 (1989). https://doi.org/10.1007/BF02274209
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DOI: https://doi.org/10.1007/BF02274209