Chiral three-dimensional lattices with tunable Poisson's ratio

Smart Materials and Structures

Volumn 25, Issue 5, 2016, Pages

  Ha, Chan Soo ^a   Plesha, Michael E ^a   Lakes, Roderic S ^a  

^a Wisconsin Electric Machines and Power Electronics Consortium   (United States)

Author keywords

auxetic; chirality; Cosserat; negative Poissons ratio

Indexed keywords

CHIRALITY; POISSON RATIO;

AUXETIC; COSSERAT; CUBIC LATTICE; ELASTIC CONTINUUM; NEGATIVE POISSONS RATIO; NEGATIVE VALUES; THREE-DIMENSIONAL LATTICES; TWIST-COUPLINGS;

FINITE ELEMENT METHOD;

EID: 84964577781     PISSN: 09641726     EISSN: 1361665X     Source Type: Journal    
DOI: 10.1088/0964-1726/25/5/054005     Document Type: Article

References (29)

1. Prall D and Lakes R S 1996 Properties of a chiral honeycomb with a Poisson's ratio -1 Int. J. of Mech. Sci. 39 305-14
2. Lakes R S 1987 Foam structures with a negative Poisson's ratio Science 235 1038-40
3. Gibson L J, Ashby M F, Schajer G S and Robertson C I 1982 The mechanics of two dimensional cellular solids Proc. R. Soc. London 382 25-42
4. Pozniak A A and Wojciechowski K W 2014 Poisson's ratio of rectangular anti-chiral structures with size dispersion of circular nodes Phys. Status Solidi b 251 367-74
5. Bornengo D, Scarpa F and Remillat C 2005 Evaluation of hexagonal chiral structure for morphing airfoil concept Proc. Inst. Mech. Eng. 219 185-92
6. Martin J, Heyder-Bruckner J, Remillat C, Scarpa F, Potter K and Ruzzene M 2008 The hexachiral prismatic wingbox concept Phys. Status Solidi b 245 570-1
7. Spadoni A, Ruzzene M and Scarpa F 2005 Global and local linear buckling behavior of a chiral cellular structure Phys. Status Solidi b 242 695-709
8. Miller W, Smith C W, Scarpa F and Evans K E 2010 Flatwise buckling optimization of hexachiral and tetrachiral honeycombs Compos. Sci. Technol. 70 1049-56
9. Abramovitch H, Burgard M, Edery-Azulay L, Evans K E, Hoffmeister M, Miller W, Scarpa F, Smith C W and Tee K F 2010 Smart tetrachiral and hexachiral honeycomb: Sensing and impact detection Compos. Sci. Technol. 70 1072-9
10. Spadoni A, Ruzzene M, Gonelli S and Scarpa F 2009 Phononic properties of hexagonal chiral lattices Wave Motion 46 435-50
11. Gibson L J and Ashby M F 1997 Cellular Solids 2nd Edn (Oxford: Pergamon) 1988
12. Jacobsen A J, Barvosa-Carter W and Nutt S 2007 Compression behavior of micro-scale truss structures formed from self-propagating polymer waveguides Acta Mater. 55 6724-33
13. Alderson A and Evans K E 2001 Rotation and dilation deformation mechanisms for auxetic behavior in the α-cristobalite tetrahedral framework structure Phys. Chem. Miner. 28 711-8
14. Haeri A Y, Weidner D J and Parise J B 1992 Elasticity of alpha-cristobalite: a silicon dioxide with a negative Poisson's ratio Science 257 650-2
15. Gaspar N, Smith C W, Alderson A, Grima J N and Evans K E 2011 A generalised three-dimensional tethered-nodule model for auxetic materials J. Mater. Sci. 46 372-84
16. Alderson K L, Webber R S and Evans K E 2007 Microstructural evolution in the processing of auxetic microporous polymers Phys. Status Solidi b 244 828-41
17. Buckmann T, Schittny R, Thiel M, Kadic M, Milton G W and Wegener M 2014 On three-dimensional dilational elastic metamaterials New J. Phys. 16 033032
18. Eringen A C 1968 Theory of micropolar elasticity In Fracture vol 1 ed H Liebowitz (New York: Academic) pp 621-729
19. Liu X N, Huang G L and Hu G K 2012 Chiral effect in plane isotropic micropolar elasticity and its application to chiral lattices J. Mech. Phys. Solids 60 1907-21
20. Spadoni A and Ruzzene M 2012 Elasto-static micropolar behavior of a chiral auxetic lattice J. Mech. Phys. Solids 60 156-71
21. Cook R D, Malkus D S, Plesha M E and Witt R J 2002 Concepts and Applications of Finite Element Analysis 4th edn (New York: Wiley)
22. Lakes R S 1986 Experimental microelasticity of two porous solids Int. J. Solids Struct. 22 55-63
23. Anderson W B and Lakes R S 1994 Size effects due to Cosserat elasticity and surface damage in closed-cell polymethacrylimide foam J. Mater. Sci. 29 6413-9
24. Lakes R S and Benedict R L 1982 Noncentrosymmetry in micropolar elasticity Int. J. Eng. Sci. 29 1161-7
25. Lakes R S 1996 Cellular solid structures with unbounded thermal expansion J. Mater. Sci. Lett. 15 475-7
26. Lakes R S 2007 Solids with tunable positive or negative thermal expansion of unbounded magnitude Appl. Phys. Lett. 90 221905
27. Lakes R S 2014 Piezoelectric composite lattices with high sensitivity Phil. Mag. Lett. 94 37-44
28. Rodriguez B, Kalathur H and Lakes R S 2014 A sensitive piezoelectric composite lattice: experiment Phys. Status Solidi b 251 349-53
29. Lehman J J and Lakes R S 2013 Stiff, strong zero thermal expansion lattices via the Poisson effect J. Mater. Res. 29 2499-508