Design of auxetic structures via mathematical optimization

Advanced Materials

Volumn 23, Issue 22-23, 2011, Pages 2650-2654

  Schwerdtfeger, J ^a   Wein, F ^a   Leugering, G ^a   Singer, R F ^a   Korner C ^a   Stingl, M ^a   Schury, F ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

additive manufacturing; inverse homogenization; mathematical optimization; selective electron beam melting

Indexed keywords

ADDITIVE MANUFACTURING; INVERSE HOMOGENIZATION; MATHEMATICAL OPTIMIZATIONS; OPTIMIZED GEOMETRIES; SELECTIVE ELECTRON BEAM MELTING;

ELECTRON BEAM FURNACES; ELECTRON BEAM MELTING; ELECTRON BEAMS; HOMOGENIZATION METHOD; MANUFACTURE; MELTING;

STRUCTURAL OPTIMIZATION;

METAL;

ARTICLE; CHEMISTRY; ELECTRON; PHASE TRANSITION; THEORETICAL MODEL;

ELECTRONS; METALS; MODELS, THEORETICAL; PHASE TRANSITION;

EID: 79959483612     PISSN: 09359648     EISSN: 15214095     Source Type: Journal    
DOI: 10.1002/adma.201004090     Document Type: Article

References (24)

1. R. Almgren, J. Elasticity 1985, 15, 427.
2. E. Evans, A. Alderson,. Adv. Mater. 2000, 12, 617.
3. D. W. Overaker, A. M. Cuitino, N. A. Langrana, Mech. Mater. 1998, 29, 43.
4. R. Lakes, Science 1987, 235, 1038.
5. J. N. Grima, A. Alderson, K. E. Evans, J. Phys. Soc. Japan 2005, 74, 1341.
6. J. N. Grima, A. Alderson, K. E. Evans, Phys. Stat. Sol. B 2005, 3, 561.
7. I. G. Masters, K. E. Evans, Compos. Struct. 1996, 35, 403.
8. C. He, P. Liu, A. C. Griffin, C. W. Smith, K. E. Evans, Macromol. Chem. Phys. 2005, 206, 233.
9. L. Rothenburg, A. Berlin, R. Bathurst, Nature 1991, 354, 470.
10. R. Lakes, K. Wojciechowski, Phys. Stat. Sol. B 2008, 245, 545.
11. M. P. BendsÃe, O. Sigmund, Topology Optimization: Theory, Methods and Applications, Springer-Verlag, 2002.
12. E. A. Friis, R. S. Lakes, J. B. Park, J. Mater. Sci. 1988, 23, 4406.
13. J. Schwerdtfeger, P. Heinl, R. F. Singer, C. Körner, Phys. Stat. Sol. B 2010, 247, 269.
14. O. Cansizoglu, O. L. A. Harrysson, H. A. West II, D. R. Cormier, T. Mahale, Rap. Proto. J. 2008, 14, 114.
15. O. Sigmund, J. Int. Mat. Sys. Struct. 1994, 5, 736.
16. O. Sigmund, Int. J. Sol. Struct. 1994, 31, 2313.
17. O. Sigmund, Act. Mech. Sini. 2009, 25, 227.
18. J. Petersson, O. Sigmund, NUMEE 1998, 41, 1417.
19. M. Zhou, Y. K. Shyy, H. L. Thomas, Struct. Mult. Opt. 2001, 21, 152.
20. M. Kaltenbacher, in Proc. Eurosensors XXIV, Linz, Austria September 2010.
21. M. Bollhöfer, Y. Saad, SISC 2006, 27, 1627.
22. P. Gill, W. Murray, M. Saunders, SIAM Review 2005, 47, 99.
23. P. Heinl, A. Rottmair, C. Körner, R. F. Singer, Adv. Eng. Mat. 2007, 9, 360.
24. O. Harrysson, O. Cansizoglu, D. Marcellin-Little, D. Cormier, H. West, Mater. Sci. Eng. C 2008, 28, 366.