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Publication Type	technical report
School or College	College of Engineering
Department	Computing, School of
Creator	Yen, Wu-chien Jonathan
Title	On Representation and Discretization of Finite Element Analyses
Date	1985
Description	The use of B-spline geometric representation and subdivision mechanism is explored for use in finite element analysis. On the representation issue, an attribute modelling technique is introduced to model the problem specification and the result interpretation. This modelling technique relies on the true representation of the domain geometry such that all the problem parameters are associated with the geometry as nongeometric attributes. It allows the user to specify a problem domain independent of the choices of mesh configuration. The analysis results are also treated as associated attributes and are blended into the original domain geometry, e.g., shape deformation and energy distribution are simulated by rendering color pictures. On the discretization issue, an adaptive algorithm is designed to generate near-optimum meshes. This algorithm synthesizes the result distribution from the previous analysis run with the domain geometry by using the former as heuristics to subdivide the latter into element geometry. The subdivided geometry reflects the grading of the result such that near-optimum results can be obtained from the synthesized mesh, i.e., smaller (and more) elements are populated in more critical areas. The algorithm is self-adaptive and requires minimum user input. An experimental implementation includes linkages between a geometric modeller and an analysis code such that a closed engineering cycle is formed. Example structural analyses are performed for planar domains, three dimensional shell domains and three-dimensional solid domains.
Type	Text
Subject	finite element; b-spline; geometric representation; subdivision mechanism; planar domain; shell domain; solid domain
Subject LCSH	Computer graphics; Finite element method--Computer programs
Language	eng
Bibliographic Citation	Yen, W. J. (1985). On Representation and Discretization of Finite Element Analyses.
Series	University of Utah Computer Science Technical Report
Relation is Part of	ARPANET
Format Medium	application/pdf
Format Extent	40,453,386 bytes
File Name	Yen-On_Representation.pdf
Conversion Specifications	Original scanned with Kirtas 2400 and saved as 400 ppi uncompressed TIFF. PDF generated by Adobe Acrobat Pro X for CONTENTdm display
ARK	ark:/87278/s67q10qq
Setname	ir_computersa
ID	103066
Reference URL	https://collections.lib.utah.edu/ark:/87278/s67q10qq

Page Metadata

Title	Page 101
Setname	ir_computersa
ID	103062
OCR Text	Show 90 323- 329. 27. Haber, R., S~ephard, M. S., Abel, J. F., Gallagher, R. H. and Greenberg, D. P., "A Generalized Two-Dimensional, Graphical Finite Element Preprocessor Utilizing Discrete Transfinite Mappings," International Journal for Numerical Methods in Engineering, Vol. 17, 1981 , pp. 1015- 1044. 28. Haber, R. and Abel, J., "Discrete Transfinite Mappings for the Description and Meshing of Three-Dimensional Surfaces Using Interactive Computer Graphics," International Journal for Numerical M ethods i n E ng i neeri ng, Vol. 18, 1982, pp. 41-66. 29. Haugeneder, E., Prochazka, W. and Tavolato, P., "A Preprocessor for the Finite Element Program SAP IV," International Journal for Numerical Methods in Engi neering, Vol. 17, 1981, pp. 1779-1789. 30. Hoppe, V., "High Order Polynomial Elements with lsoparametric Mapping," International Journal for Numerical Methods in Engineeri ng, Vol. 15, 1980, pp. 1747-1769. 31 . Kleinstreuer, C. and Holdeman, J. T., "A Triangular Finite Element Mesh Generator for Fluid Dynamic Systems of Arbitrary Geometry," International Journal for Numerical Methods in Engineering, Vol. 15, 1980, pp. 1325-1334. 32. MacNeal, R. H., Future Demands on Major FEM Systems, Robinson and Associates, 1981, pp. 184-192,. 33. Melosh, R.J. and Marcal, P.V., "An Energy Basis for Mesh Refinement of Structural Continua," International Journal for Numerical Methods in Engineering, Vol. 11, 1977, pp. 1083-1092. 34. Millman, R. S. and Parker, G. D., Elements of Differential Geometry, Prentice-Hall, Inc., New Jersey, 1977. 35. Molinari, G. and Viviani, A., "Grid Iteration Method for Finite Element Grid Optimization," · Finite Element Grid Optimization, Shephard, M. S., ed., The American Society of Mechanical Engineers, United Engineering Center, New York 10017, June 1979, pp. 49-59. 36. Newman, W. M. and Sproull, R. F., Princi pies of Interactive Computer Graphics, McGraw-Hill, Inc., New York, 1979. 37. Nguyen, V. P., "Automatic Mesh Generation with Tetrahedron Elements," International Journal for Numerical Methods in Engi neeri ng, Vol. 18, 1982, pp. 273-289. 38. Park, S. and Washam, C. J., "Drag Method as a Fin ite Element Mesh Generation Scheme," Computers & Structures, Vol. 10, 1979, pp. 343-346. 39. Perucchio, R., lngraffea, A. R. and Abel, J. F., "Interactive Comput er Graphic Preprocessing for Three-Dimensional Finite Element Analysis,"
Reference URL	https://collections.lib.utah.edu/ark:/87278/s67q10qq/103062