Topology optimization using wachspress-type interpolation with hexagonal elements

AIP Conference Proceedings

Volumn 973, Issue , 2008, Pages 309-314

  Talischi, Cameron ^a   Paulino, Glaucio H ^a   Le, Chau H ^a  

^a United States of America   (United States)

Author keywords

Checkerboard; Topology optimization; Wachspress interpolation functions

Indexed keywords

EID: 40449133701     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.2896796     Document Type: Conference Paper

References (12)

1. A.R. Diaz and O. Sigmund, Structural Optimization, 10, 40-45 (1995).
2. S. Jog, R. B. Haber, Computer Methods in Applied Mechanics and Engineering,130, 203-226 (1996).
3. O. Sigmund, Mechanics of Structures and Machines,25, 495 -526 (1996).
4. R. Williams, The Geometrical Foundation of Natural Structure: A Source Book of Design. New York: Dover, 1979, p35-43.
5. E. L. Wachspress, A Rational Finite Element Basis. Academio Press: New York, NY, 1975.
6. N. Sukumar and E. A. Malsch, Archives of Computational Methods in Engineering, 11(4), 1-38 (2005).
7. M. P. Bendsøe and O. Sigmund, Arch. Appl. Mech., 69, 635-654 (1999).
8. M. P. Bendøse, Optimization of structural topology, shape and material, Berlin, Heidelberg, New York, Springer, 1995
9. J. Peterson and O. Sigmund, International Journal for Numerical Methods in Engineering, 41, 1417-1434 (1998).
10. O. Sigmund and J. Peterson, Structural Optimization, 16, 68-75 (1998).
11. N. Olhoff, M. P. Bendsee, J. Rasmussen, Computer Methods in Applied Mechanics and Engineering, 89, 259-279 (1991).
12. E. C N. Silva and G. H. Paulino, "Topology Optimization Design of Functionally Graded Structures", Proceedings of the 6th World Congress of Structural and Multidisciplinary Optimization, 2005.