Negative Poisson's ratios in metal nanoplates

Nature Communications

Volumn 5, Issue , 2014, Pages

  Ho, Duc Tam ^a   Park, Soon Dong ^a   Kwon, Soon Yong ^a   Park, Kibog ^a   Kim, Sung Youb ^a  

^a Ulsan National Institute of Science and Technology   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84893825802     PISSN: None     EISSN: 20411723     Source Type: Journal    
DOI: 10.1038/ncomms4255     Document Type: Article

References (67)

1. Lakes, R. Foam structures with a negative Poisson's ratio. Science 235, 1038-1040 (1987)
2. Hall, L. J. et al. Sign change of Poisson's ratio for carbon nanotube sheets. Science 320, 504-507 (2008) (Pubitemid 351590658)
3. Evans, K. E., Nkansah, M. A., Hutchinson, I. J. & Rogers, S. C. Molecular network design. Nature 353, 124-124 (1991)
4. Lakes, R. Materials with structural hierarchy. Nature 361, 511-515 (1993)
5. Milton, G. W. Composite materials with Poisson's ratios close to -1. J. Mech. Phys. Solids 40, 1105-1137 (1992)
6. Keskar, N. R. & Chelikowsky, J. R. Negative Poisson ratios in crystalline SiO2 from first-principles calculations. Nature 358, 222-224 (1992)
7. Baughman, R. H., Shacklette, J. M., Zakhidov, A. A. & Stafström, S. Negative Poisson's ratios as a common feature of cubic metals. Nature 392, 362-365 (1998) (Pubitemid 28168726)
8. Baughman, R. H. et al. Negative Poisson's ratios for extreme states of matter. Science 288, 2018-2022 (2000) (Pubitemid 30397676)
9. Milstein, F. & Huang, K. Existence of a negative Poisson ratio in fcc crystals. Phys. Rev. B 19, 2030-2033 (1979)
10. Kimizuka, H., Kaburaki, H. & Kogure, Y. Mechanism for negative Poisson ratios over the a-b transition of cristobalite, SiO2: a molecular-dynamics study. Phys. Rev. Lett. 84, 5548-5551 (2000)
11. Foerster, M. et al. The Poisson ratio in CoFe2O4 spinel thin films. Adv. Funct. Mater. 22, 4344-4351 (2012)
12. Choi, J. B. & Lakes, R. S. Design of a fastener based on negative Poisson's ratio foam. Cell Polym. 10, 205-212 (1991)
13. Scarpa, F. Auxetic materials for bioprostheses. IEEE Signal Process. Mag. 25, 126-128 (2008)
14. Sigmund, O., Torquato, S. & Aksay, I. A. On the design of 1-3 piezocomposites using topology optimization. J. Mater. Res. 13, 1038-1048 (1998) (Pubitemid 128565430)
15. Gibiansky, L. V. & Torquato, S. On the use of homogenization theory to design optimal piezocomposites for hydrophone applications. J. Mech. Phys. Solids 45, 689-708 (1997) (Pubitemid 127391325)
16. Alderson, A. et al. An auxetic filter: a tunable filter displaying enhanced size selectivity or defouling properties. Ind. Eng. Chem. Res. 39, 654-665 (2000) (Pubitemid 30412201)
17. Jones, J. O. Cushioned earphones, US Patent 6,412,539 (filed 10 March 1999, and issued 2 July 2002)
18. Wang, Y.-C. & Lakes, R. Analytical parametric analysis of the contact problem of human buttocks and negative Poisson's ratio foam cushions. Int. J. Solids Struct 39, 4825-4838 (2002)
19. Lowe, A. & Lakes, R. S. Negative Poisson's ratio foam as seat cushion material. Cell Polym. 19, 157-167 (2000)
20. Scarpa, F., Ciffo, L. G. & Yates, J. R. Dynamic properties of high structural integrity auxetic open cell foam. Smart Mater. Struct. 13, 49-56 (2004)
21. Brandel, B. & Lakes, R. S. Negative Poisson's ratio polyethylene foams. J. Mater. Sci. 36, 5885-5893 (2001) (Pubitemid 34012974)
22. Grima, J. N., Jackson, R., Alderson, A. & Evans, K. E. Do zeolites have negative Poisson's ratios? Adv. Mater. 12, 1912-1918 (2000) (Pubitemid 32138812)
23. Ishibashi, I. & Iwata, M. A microscopic model of a negative Poisson's ratio in some crystals. J. Phys. Soc. Jpn 69, 2702-2703 (2000)
24. Song, F., Zhou, J., Xu, X., Xu, Y. & Bai, Y. Effect of a negative Poisson ratio in the tension of ceramics. Phys. Rev. Lett. 100, 245502 (2008)
25. Lethbridge, Z. A. D., Walton, R. I., Marmier, A. S. H., Smith, C. W. & Evans, K. E. Elastic anisotropy and extreme Poisson's ratios in single crystals. Acta Mater. 58, 6444-6451 (2010)
26. Lubarda, V. A. & Meyers, M. A. On the negative Poisson ratio in monocrystalline zinc. Scr. Mater. 40, 975-977 (1999)
27. Boulanger, P. & Hayes, M. Poisson's ratio for orthorhombic materials. J. Elast. 50, 87-89 (1998) (Pubitemid 128512401)
28. Rovati, M. Directions of auxeticity for monoclinic crystals. Scr. Mater. 51, 1087-1091 (2004)
29. Rovati, M. On the negative Poisson's ratio of an orthorhombic alloy. Scr. Mater. 48, 235-240 (2003) (Pubitemid 35432769)
30. Aouni, N. & Wheeler, L. Auxeticity of calcite and aragonite polymorphs of CaCO3 and crystals of similar structure. Phys. Status Solidi B 245, 2454-2462 (2008)
31. Hirotsu, S. Elastic anomaly near the critical point of volume phase transition in polymer gels. Macromolecules 23, 903-905 (1990) (Pubitemid 20648171)
32. Hirotsu, S. Softening of bulk modulus and negative Poisson's ratio near the volume phase transition of polymer gels. J. Chem. Phys. 94, 3949-3957 (1991)
33. Li, C., Hu, Z. & Li, Y. Poisson's ratio in polymer gels near the phase-transition point. Phys. Rev. E 48, 603-606 (1993)
34. McKnight, R. E. A. et al. Grain size dependence of elastic anomalies accompanying the a-b phase transition in polycrystalline quartz. J. Phys. Condens. Matter 20, 075229 (2008)
35. Dong, L., Stone, D. S. & Lakes, R. S. Softening of bulk modulus and negative Poisson ratio in barium titanate ceramic near the Curie point. Philos. Mag. Lett. 90, 23-33 (2010)
36. Scharer, U. & Wachter, P. Negative elastic constants in intermediate valent SmxLa1-xS. Solid State Commun. 96, 497-501 (1995)
37. Scharer, U., Jung, A. & Wachter, P. Brillouin spectroscopy with surface acoustic waves on intermediate valent, doped SmS. Physica B 244, 148-153 (1998) (Pubitemid 128387855)
38. Wojciechowski, K. W. Constant thermodynamic tension Monte Carlo studies of elastic properties of a two-dimensional system of hard cyclic hexamers. Mol. Phys. 61, 1247-1258 (1987)
39. Wojciechowski, K. W. & Branka, A. C. Negative Poisson ratio in a two-dimensional 'isotropic' solid. Phys. Rev. A 40, 7222-7225 (1989)
40. Wojciechowski, K. W. Two-dimensional isotropic system with a negative Poisson ratio. Phys. Lett. A 137, 60-64 (1989)
41. Wojciechowski, K. W. Non-chiral, molecular model of negative Poisson ratio in two dimensions. J. Phys. A Math. Gen. 36, 11765-11778 (2003) (Pubitemid 37514323)
42. Wojciechowski, K. W. Negative Poisson ratios at negative pressures. Mol. Phys. Rep. 10, 129-136 (1995)
43. Norris, A. N. Poisson's ratio in cubic materials. Proc. R. Soc. A 462, 3385-3405 (2006) (Pubitemid 44671030)
44. Paszkiewicz, T. & Wolski, S. Anisotropic properties of mechanical characteristics and auxeticity of cubic crystalline media. Phys. Status Solidi B 244, 966-977 (2007)
45. Branka, A. C., Heyes, D. M. & Wojciechowski, K. W. Auxeticity of cubic materials. Phys. Status Solidi B 246, 2063-2071 (2009)
46. Branka, A. C., Heyes, D. M. & Wojciechowski, K. W. Auxeticity of cubic materials under pressure. Phys. Status Solidi B 248, 96-104 (2011)
47. Osada, M. & Sasaki, T. Two-dimensional dielectric nanosheets: novel nanoelectronics from nanocrystal building blocks. Adv. Mater. 24, 210-228 (2012)
48. Qin, S., Kim, J., Niu, Q. & Shih, C.-K. Superconductivity at the two-dimensional limit. Science 324, 1314-1317 (2009)
49. Lim, B. S., Rahtu, A. & Gordon, R. G. Atomic layer deposition of transition metals. Nat. Mater. 2, 749-754 (2003)
50. Dingreville, R., Qu, J. & Cherkaoui, M. Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films. J. Mech. Phys. Solids 53, 1827-1854 (2005) (Pubitemid 40822338)
51. Hill, R. On the elasticity and stability of perfect crystals at finite strain. Math. Proc. Camb. Philos. Soc. 77, 225-240 (1975)
52. Hill, R. & Milstein, F. Principles of stability analysis of ideal crystals. Phys. Rev. B 15, 3087-3096 (1977)
53. Diao, J., Gall, K. & Dunn, M. L. Surface-stress-induced phase transformation in metal nanowires. Nat. Mater. 2, 656 (2003)
54. Milstein, F. & Farber, B. Theoretical fcc-bcc transition under [100] tensile loading. Phys. Rev. Lett. 44, 277-280 (1980)
55. Milstein, F., Marschall, J. & Fang, H. E. Theoretical bcc # fcc transitions in metals via bifurcations under uniaxial load. Phys. Rev. Lett. 74, 2977-2980 (1995)
56. Milstein, F., Zhao, J. & Maroudas, D. Atomic pattern formation at the onset of stress-induced elastic instability: fracture versus phase change. Phys. Rev. B 70, 184102 (2004)
57. Pashley, D. W. A study of the deformation and fracture of single-crystal gold films of high strength inside an electron microscope. Proc. R. Soc. A 255, 218-231 (1960)
58. Richter, G. et al. Ultrahigh strength single crystalline nanowhiskers grown by physical vapor deposition. Nano Lett. 9, 3048-3052 (2009)
59. Liddicoat, P. V. et al. Nanostructural hierarchy increases the strength of aluminium alloys. Nat. Commun. 1, 63 (2010)
60. Liu, X.-Y., Ercolessi, F. & Adams, J. B. Aluminium interatomic potential from density functional theory calculations with improved stacking fault energy. Model. Simul. Mater. Sci. Eng. 12, 665 (2004)
61. Cai, J. & Ye, Y. Y. Simple analytical embedded-atom-potential model including a long-range force for fcc metals and their alloys. Phys. Rev. B 54, 8398-8410 (1996)
62. Ackland, G. J., Bacon, D. J., Calder, A. F. & Harry, T. Computer simulation of point defect properties in dilute Fe-Cu alloy using a many-body interatomic potential. Philos. Mag. A 75, 713-732 (1997) (Pubitemid 127385542)
63. Tersoff, J. New empirical approach for the structure and energy of covalent systems. Phys. Rev. B 37, 6991-7000 (1988)
64. Ceperley, D. M. & Alder, B. J. Ground state of the electron gas by a stochastic method. Phys. Rev. Lett. 45, 566-569 (1980)
65. Vanderbilt, D. Soft self-consistent pseudopotentials in a generalized eigenvalue formalism. Phys. Rev. B 41, 7892-7895 (1990)
66. Schlitt, D. W. Thermodynamics of the curvature of the Hc2-VS-T boundary in anisotropic superconductors. Phys. Rev. B 13, 4188-4191 (1976)
67. Payne, M. C., Teter, M. P., Allan, D. C., Arias, T. A. & Joannopoulos, J. D. Iterative minimization techniques for ab initio total-energy calculations: molecular dynamics and conjugate gradients. Rev. Mod. Phys. 64, 1045-1097 (1992)