Design, fabrication and verification of a novel auxetic microstructure using topology optimization
Source abstract
Abstract
This research presents a numerical method to design a two-dimensional auxetic microstructure with negative Poisson’s ratios. The method is established by combining the finite element method (FEM) with two different optimization procedures called bi-directional evolutionary structural optimization (BESO) and solid isotropic material with penalization (SIMP), respectively. The results show that by choosing any of the two methods of optimization (FEM and BESO or FEM and SIMP), each with a different objective function, it is possible to create microstructures that show negative Poisson’s ratio. In addition, there is a significant resemblance between the results of both optimization methodologies. The final part of this study is to verify the outcome of optimization, both numerically and experimentally using three-dimensional (3D) printing techniques.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Topology Optimization in Engineering · Cellular and Composite Structures · Innovations in Concrete and Construction Materials
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (35)
Show source-provided references
1. Bianchi M, Scarpa F L and Smith C W 2008 Mater. Sci. 43 585110.1007/s10853-008-2841-5 ↗
2. Lim T-C (ed) 2015 in Auxetic materials and structures. Engineering materials (Singapore: Springer) p 14710.1007/978-981-287-275-3_4 ↗
3. Saint-Venant A J C B E (ed) 1848 Résumédes leçons sur l’application de la mécaniqueàl’ établissement des constructions et des machines, premiere section, Paris
4. Greaves G N 2013 Notes Rec. R Soc. 67 3710.1098/rsnr.2012.0021 ↗
5. Fung Y C (ed) 1965 Foundations of solid mechanics (Prentice-Hall: Englewood Cliffs, NJ)
6. Landau L D and Lifshitz E M E (eds) 1970 Theory of elasticity (Oxford: Pergamon Press) vol 7
7. Evans K E 1991 Endeavour 15 17010.1016/0160-9327(91)90123-S ↗
8. Ren X, Das R, Tran P, Ngo T D and Xie Y M 2012 Smart Mater. Struct. 27 230
9. Theocaris P S, Stavroulakis G E and Panagiotopoulos P D 1997 Arch. Appl. Mech. 67 27410.1007/s004190050117 ↗
10. Lakes R 1991 J. Mater. Sci. 26 228710.1007/BF01130170 ↗
11. Friis E A, Lakes R S and Park J B 1988 J. Mater. Sci. 23 440610.1007/BF00551939 ↗
12. Evans K E, Alderson A and Christian F R 1995 J. Chem. Soc. Faraday Trans. 91 267110.1039/ft9959102671 ↗
13. Grima J N, Gatt R and Farrugia P 2008 Phys. Status Solidi B 245 51110.1002/pssb.200777704 ↗
14. Milton G W 1992 J. Mech. Phys. Solids 40 110510.1016/0022-5096(92)90063-8 ↗
15. Grima J N, Alderson A and Evans K E 2005 Phys. Status Solidi B 242 56110.1002/pssb.200460376 ↗
16. Caddock B D and Evans K E 1989 J. Phys. D Appl. Phys. 22 187710.1088/0022-3727/22/12/012 ↗
17. Chentsov A V and Lisovenko D S 2016 Conf. Series ISSN 1742-6596
18. Javadi A A, Faramarzi A and Farmani R 2012 Eng. Comp. 29 26010.1108/02644401211212398 ↗
19. Javadi A A, Evans K E, Smith C W and Farmani R 2006 (ACME) Conference (Belfast: Queen’s University)
20. Kaminakis N T, Drosopoulos G A and Stavroulakis G E 2014 Arch. Appl. Mech. 85 128910.1007/s00419-014-0970-7 ↗
21. Bruggi M, Zega V’ and Corigliano A 2017 Struct. Multidisc. Optim. 55 110.1007/s00158-016-1589-9 ↗
22. Zong H, Zhang H, Wang Y, Wang M Y and Fuh J Y H 2018 Mater. Des. 159 9010.1016/j.matdes.2018.08.032 ↗
23. Kureta R and Kanno Y 2014 Optim. Eng. https://doi.org/10.1007/s11081-013-9225-710.1007/s11081-013-9225-7 ↗
24. Xie Y M and Steven G P E (eds) 1997 Evolutionary structural optimization (London: Springer-Verlag)10.1007/978-1-4471-0985-3 ↗
25. Jog C S and Harber R B 1996 Comput. Methods Appl. Mech. Eng. 130 195110.1016/0045-7825(95)00928-0 ↗
26. Li Q, Steven G P and Xie Y M 2001 Multidisc. Optim. 22 23010.1007/s001580100140 ↗
27. Zuo Z, Xie Y and Huang X 2012 Adv. Struct. Eng. 15 35910.1260/1369-4332.15.2.359 ↗
28. Huang X and Xie Y M 2007 Finite Elem. Anal. Des. 43 103910.1016/j.finel.2007.06.006 ↗
29. Bendsøe M P and Kikuchi N 1988 Comput. Methods Appl. Mech. Eng. 71 19710.1016/0045-7825(88)90086-2 ↗
30. Bendsøe M P and Sigmund O 1999 Arch. Appl. Mech. 69 63510.1007/s004190050248 ↗
31. Rozvany G I N, Zhou M and Birker T 1992 Struct. Multidiscipl. Optim. 4 25010.1007/BF01742754 ↗
32. Chugh T, Sindhya K, Miettinen K, Jin Y, Kratky T and Makkonen P 2017 Proc. IEEE Congr. Evol. Comput. p 1541
33. Jin Y and Sendhoff B 2009 IEEE Comput. Intel. Mag. 4 6210.1109/MCI.2009.933094 ↗
34. Sindhya K, Ojalehto V, Savolainen J, Niemisto H, Hakanen J and Miettinen K 2014 Expert Syst. Appl. 41 254610.1016/j.eswa.2013.10.002 ↗
35. Chowdhury S, Chakraborti N and Sen P K 2020 Min. Proc. Ext. Met. Rev. 1