Extreme Poisson's ratios and related elastic crystal properties

Journal of the Mechanics and Physics of Solids

Volumn 54, Issue 4, 2006, Pages 690-707

  Guo, Cliff Y ^a   Wheeler, Lewis ^a  

^a UNIVERSITY OF HOUSTON   (United States)

Author keywords

Anisotropy; Auxetic; Crystal; Extreme; Extreme Poisson's ratio

Indexed keywords

ANISOTROPY; CRYSTAL ORIENTATION; ELASTIC MODULI; MOLECULAR DYNAMICS; POISSON DISTRIBUTION;

AUXETIC; EXTREME; EXTREME POISSON'S RATIO; MOLECULAR MECHANISMS;

SINGLE CRYSTALS;

EID: 31044449465     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2005.11.002     Document Type: Article

References (22)

1. K. Alderson, and K. Evans The fabrication of microporous polyethylene having a negative Poisson's ratio Polymer 33 1992 4435 4438
2. R.H. Baughman, J.M. Shacklette, A.A. Zakhidov, and S. Stafstrom Negative Poisson's ratios as a common feature of cubic metals Nature 392 1998 362 365
3. B. Caddock, and K. Evans Microporous materials with negative Poisson's ratios: I. Microstructure and mechanical properties J. Phys. D 22 1989 1877 1882
4. C.P. Chen, and R.S. Lakes Dynamic wave dispersion and loss properties of conventional and negative Poisson's ratio polymeric cellular materials Cell. Polym. 8 5 1989 343 359
5. Courant, R., Hilbert, D., 1965. Methods of Mathematical Physics. Vol. II: Partial Differential Equations. Interscience, New York.
6. K. Evans, M. Nkanasah, I. Hutchinson, and S. Rogers Molecular network design Nature 353 1991 124
7. J.N. Grima, R. Jackson, A. Alderson, and K.E. Evans Do zeolites have negative Poisson's ratios? Adv. Mater. 12 24 2000 1912 1918
8. Gurtin, M.E., 1972. The Linear Theory of Elasticity. In: Handbuch der Physik, vol. VIa/2. Springer, Berlin.
9. M. Hayes, and A. Shuvalov On the extreme values of Young's modulus, the shear modulus and Poisson's ratio for cubic materials J. Appl. Mech. 65 1998 786 787
10. R. Lakes Foam structures with a negative Poisson's ratio Science 235 1987 1038 1040
11. R.S. Lakes Negative Poisson's ratio materials Science 238 1987 551
12. Y. Li The anisotropic behavior of Poisson's ratio, Young's modulus, and shear modulus in hexagonal materials Phys. Stat. Sol. (a) 38 1976 171 175
13. A.E.H. Love A Treatise on the Mathematical Theory of Elasticity fourth ed 1927 Cambridge University Press Dover Reprint, New York
14. J.F. Nye Physical Properties of Crystals 1957 Oxford University Press Oxford (reprinted 2000)
15. C. Sanchez-Valle, S. Sinogeikin, Z. Lethbridge, R. Walton, C. Smith, E. Evans, and J. Bass Brillouin scattering study on the single-crystal elastic properties of natrolite and analcime zeolites J. Appl. Phys. 98 2005 053508-1
16. T.C.T. Ting, and T. Chen Poisson's ratio for anisotropic materials can have no bounds Quart. J. Mech. Appl. Math. 58 1 2005 73 82
17. S. Tokmakova Stereographic projections of Poisson's ratio in auxetic crystals Phys. Stat. Sol. (b) 242 3 2005 721 729
18. J. Turley, and G. Sines The anisotropy of Young's modulus, shear modulus and Poisson's ratio in cubic materials J. Phys. D 4 1971 264 271
19. K. Wojciechowski Constant thermodynamics tension Monte Carlo studies of elastic properties of a two-dimensional system of hard cyclic hexamers Mol. Phys. 61 1987 1247 1258
20. K. Wojciechowski Two-dimensional isotropic system with a negative Poisson's ratio Phys. Lett. A 137 1989 60 64
21. K. Wojciechowski Negative Poisson ratio in two-dimensional "isotropic" solid Phys. Rev. A 40 1989 7222 7225
22. A. Yeganeh-Heari, D.J. Weidner, and J.B. Parise Elasticity of α -cristobalite: a silicon dioxide with a negative Poisson's ratio Science 257 5070 1992 650 652