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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

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Title	Page 99
Setname	ir_computersa
ID	103060
OCR Text	Show REFERENCES 1. Adina Engineering, ADINA Engineering, Inc., AD/ NA: System Theory and Modeling GuJde, 71 Elton Avenue, Watertown, Mass. 02172, 1981 . 2. Adina Engineering, ADINA Engineering, Inc., AD/ NA: User's Manual, 71 Elton Avenue, Watertown, Mass. 02172, 1981. 3. Akhras, G. and Dhatt, G., "An Automatic Node Relabelling Scheme for Minimizing A Matrix or Network Bandwidth," Internati onal Journal for Numerical Methods in Engineering, Vol. 10, 1976, pp. 787-797. 4. Akyuz, F. A., "Natural Coordinate Systems An Automatic Input Data Generation Scheme For A Finite-Element Method," Nuclear Engineering and Design, Vol. 11, 1970, pp. 195-207. 5. Bathe, K. J., Finite Element Procedures in Engineering Analysis, Prentice-Hall, Inc., New Jersey, 1982. 6. Buell, W. R. and Bush, B. A., "Mesh Generation - A Survey," Transaction of the ASME, February 1973, pp. 332-338. 7. Bykat, A., "Automatic Generation of Triangular Grid: !-Subdivision of a General Polygon into Convex Subregions. !!-Triangulation of Convex Polygons," International Journal for Numerical Methods in Engineering, Vol. 10, 1976, pp. 1329-1342. 8. Carey, G. F. and Humphrey, D. L., "Residuals, Adaptive Refinement and Iterative Solution in Finite Element Computation," Finite Element Grid Optimization, Shephard M. S., ed., The American Society of Mechanical Engineers, United Engineering Center, New York 10017, June 1979, pp. 37-47. 9. Carey, G. F. and Humphrey, D. L., "Mesh Refinement and Iterative Solution Methods for Finite Element Computations," International Journal for Numerical Methods in Engineering, Vol. 81, 1981, pp. 1717-1734. 10. Cavendish, J. C., "Automatic Triangulation of Arbitrary Planar Domains for the Finite Element Method," International Journal for Numerical Methods in Engineering, Vol. 8, 1974, pp. 679-696. 11. Cobb, E. S., "Design of Sculptured Surfaces Using the B-Spline Representation," Ph.D. dissertation, University of Utah, June 1984. 12. Cohen, E., Lyche, T. and Riesenfeld, R. F., "Discrete B-Spline and Subdivi sion Techniques in Computer-Aided Geometric Design and Computer
Reference URL	https://collections.lib.utah.edu/ark:/87278/s67q10qq/103060