Automatic Finite Element Mesh Generation for the Automation of Parametric Conceptual Design

Authors

• Hyunik Yang - Department of Mechanical Engrg., Columbia University New York, NY
• Daivd A. Hoeltzel - Department of Mechanical Engrg., Columbia University New York, NY

Topic

• Simulation and modeling
• Combustion and combustion processes
• Prostheses and implants

Citation

Also In

References

1. ADINA Engineering, Inc. The ADINA finite element program Providence, RI
2. Akin, J. E. Application and Implementation of Finite Element Methods Academic Press 10 1982
3. Angell, I. O. Griffith, G. High Resolution Computer Graphics Using FORTRAN 77 John Wiley & Sons New York 1989
4. Bajaj, C. L. Hoffman, C. M. Lynch, R. E. Hopcroft, J. E. H. ‘Tracing Surface Intersections’ Comp. Aid. Geom. Des. 5 285 307 1988
5. Bathe, K. J. Finite Element Procedures in Engineering Analysis Prentice-Hall Englwood Cliffs, NJ 1982
6. Cavendish, J. C. Fields, D. A. Frey, W. H. ‘Automating Three-Dimensional Finite Element Mesh Generation’ Mothern Methods for Automating Finite Element Mesh Generation Baldwin, K. ASCE 61 72 1986
7. Chazelle, B. Dobkin, D. P. ‘Intersection of Convex Objects in Two and Three Dimensions’ J. ACM 34 1 27 1987
8. Cook, R. D. Concepts and Applications of Finite Element Analysis Wiley NY 1981
9. Field, D. A. Frey, W. H. ‘Automation of Tetrahedral Mesh Generation’ GMR-4967 1985
10. Floriani, L. D. ‘Surface Representations Based on Triangulation Grids’ The Vis. Comp. 3 27 50 1987
11. Ghassemi, F. ‘Automatic Mesh Generation Scheme for Two- and Three-Dimensional Curved Surfaces’ Comp. Stru. 15 613 622 1982
12. Hibbit, Karlsson, Sorensen, Inc. The ABAQUS finite element program Providence, RI 4 7 1988
13. Huiskes, R. Chao, E. Y. S ‘A Survey of Finite Element Analysis in Orthopedic Biomechanics: The First Decade’ J. Bio. 16 6 385 409 1983
14. Jenssen, T. L. ‘A Simple Efficient Hidden Line Algorithm’ Comp. Stru. 17 4 563 571 1983
15. Kardestuncer, H. Finite Element Handbook McGraw-Hill, NY
16. Katz, S. Sederberg, T. W. ‘Genus of the Intersection Curve of Two Rational Surface Patches’ Comp. Aid. Geom. Des. 5 253 258 1988
17. The MacNeal-Schwendler Corporation The MSC/NASTRAN finite element program Los Angeles, CA.
18. MARC Analysis Research Corporation The MARC finite element program Palo Alto, CA
19. Martin, H. C. Carey, G. F. Introduction to Finite Element Analysis Prentice Hall Englwood Cliffs, NJ 1973
20. Rizzo, A. R. ‘Estimating Errors in FE Analyses’ Mechanical Engineering 61 63 ASME May 1991
21. Middleditch, A. E. Stacey, T. W. Tor, S. B. ‘Intersection Algorithms for Lines and Circles’ ACM Tran. Grap. 8 25 40 1989
22. Miller, J. R. ‘Geometric Approaches to Nonlinear Quadric Surface Intersection Curves’ ACM Tran. Grap. 6 274 307 1987
23. O'Rourke, J. Chien, C. B. Olson, T. Naddor, D. ‘A New Algorithm for Intersecting Convex’ Comp. Grap. Imag. Proc. 19 384 391 1982
24. Preparata, F. P. Shamos, M. I. Computational Geometry 1985
25. Sadek, E. A. ‘A Scheme for the Automatic Generation of Triangular Finite Elements’ Int. J. Num. Meth. Engr. 15 1813 1822 1980
26. Schroeder, W. J. Shephard, M. S. ‘A Combined Octree/Delaunay Method for Fully Automatic 3-D Mesh Generation’ Int. J. Num. Meth. Engr. 29 37 55 1990
27. Shamos, M. I. ‘Geomretic Complexity’ Proc. 7th. Annual ACM 224 233 1975
28. Shamos, M. I. Hoey, D. ‘Geometric Intersection problems’ Proc. 17th. Annual Symp. on Found. Comp. Sci. 208 215 1976
29. Chae Soo-Won Bathe, K. J. ‘On Automatic Mesh Construction and Mesh Refinement in Finite Element Analysis’ Comp. Stru. 32 911 936 1989
30. Structural Research and Analysis Corporation COSMOS/M Santa Monica, CA
31. Swanson Analysis Systems, Inc. The ANSYS finite element program Houston, PA
32. Thacker, W. C. ‘A Brief Review of Techniques for Generating Irregular Computational Grids’ Int. J. Num. Meth. Engr. 15 1335 1341, 1980
33. Yamaguchi, F. Tokieda, T. ‘Bridge Edge and Triangulation Approach in Solid Modeling’
34. Yang, H. Hoeltzel, D. A. ‘Automatic Finite Element Mesh Generation Over Domains Comprised of Multiply Connected, Intersecting, Rigid Body-Movable Subdomains’ J. Mechanical Design ASME 1990
35. Yang, H. Hoeltzel, D. A. ‘Automatic Finite Element Mesh Generation Over Intersecting, Rigid Body-Movable Subdomains for the Automation of Parametric Redesign’ ASME Design Automation’ 91 ASME 1991
36. Yang, H. Hoeltzel, D. A. ‘An Overview of Finite Element Mesh Generation Schemes’ Computer-Aided Design Butterworth Scientific Ltd. 1990
37. Zienkiewicz, O. C. The Finite Element Method McGraw-Hill, NY 1977

Cited By