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Negative Poisson's ratio and percolating structures

Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
Elastic properties of non-uniform, two-component systems are studied in frames of a model of percolation on a simple cubic lattice. It is shown that as the ratio of the bulk moduli of the components tends to zero, kappa =K/sub s//K/sub h/ to 0 (where s,h denote the softer and harder phase, respectively), the Poisson's ratio of the system tends to 0.2 at the percolation threshold of the harder phase, no matter what the values are of the Poisson's ratios of the components. A qualitatively new, collective mechanism leading to negative Poisson's ratio is suggested.
Rocznik
Strony
5--11
Opis fizyczny
Bibliogr. 37 poz., rys.
Twórcy
  • Institute of Molecular Physics, Polish Academy of Sciences, Smoluchowskiego 17/19, 60-179 Poznan, Poland
Bibliografia
  • [1] Landau L D, Lifshitz E M, Kosevich A M and Pitaevskii I P 1986 Theory of Elasticity Pergamon Press, London
  • [2] Almgren R F 1985 Journal of Elasticity 15 427
  • [3] Kolpakov A G 1985 Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki 49 969
  • [4] Wojciechowski K W 1987 Mol. Phys. 61 1247; Wojciechowski K W and Bra´nka A C 1989 Phys. Rev. A40 7222
  • [5] Lakes R 1987 Science 235 1038
  • [6] Caddock B D and Evans K E 1989 J. Phys. D22 1877; Evans K E and Caddock B D 1989 J. Phys. D22 1883
  • [7] The early works were reviewed by Lakes R 1993 Advanced Materials 5 293. See also Wojciechowski K W and Bra´nka A C 1994 Mol. Phys. Reports 6 71
  • [8] Boal D H, Seifert U and Schillcock J C 1993 Phys. Rev. E48 4274
  • [9] Wojciechowski K W 1995 Mol. Phys. Reports 10 129
  • [10] Martz E O, Lakes R S and Park J B 1996 Cellular Polymers 15 349
  • [11] Prall D and Lakes R 1997 Int. J. of Mechanical Science 39 305
  • [12] Sigmund O and Torquato S 1997 Appl. Phys. Lett. 69 3203
  • [13] Larsen U D, Sigmund O and Bouwstra S 1997 J. Macromech. Systems 6 99
  • [14] Theocaris P S, Stavroulakis G E and Panagiotopoulos P D 1997 Archive of Applied Mechanics 67 274
  • [15] Baughman R H, Shacklette J M, Zakhidov A A and Stafstr ¨om S 1998 Nature 392 362
  • [16] Choi J B and Evans R S 1991 Cellular Polymers 10 205
  • [17] Evans K E 1991 Composite Structures 17 95
  • [18] Wojciechowski K W 1998 Isotropic Systems of Negative Poisson’s Ratios, in Proceedings of the 2nd Tohwa International Meeting, Eds. Tokuyama M and Oppenheim I World Scientific, Singapore
  • [19] Wojciechowski K W and Tretiakov K V 1999 Comput. Phys. Commun. 121-122 528
  • [20] Novikov V V and Wojciechowski K W 1999 Physics of the Solid State 41 1970
  • [21] Arbabi S and Sahimi M 1988 Phys. Rev. B38 7173
  • [22] Feng S and Sen P N 1984 Phys. Rev. Lett. 52 216
  • [23] Kantor Y and Webman I 1984 Phys. Rev. Lett. 52 1981
  • [24] Feng S and Sahimi M 1985 Phys. Rev. B31 1671
  • [25] Bergman D Y and Kantor Y 1984 Phys. Rev. Lett. 53 511
  • [26] Arbabi S and Sahimi M 1993 Phys. Rev. B47 695; Sahimi M and Arbabi S 1993 Phys. Rev. B47 703
  • [27] Stauffer D and Aharony A 1992 Introduction to Percolation Theory, 2nd ed. Taylor & Francis, London
  • [28] Wilson K G and Kogut J B 1974 The Renormalization Group Approach and the ž-Expansion, Wiley, NY, 9 75
  • [29] Reynolds P J, Stanley H E and Klein W 1980 Phys. Rev. B21 1223
  • [30] Bernasconi J 1978 Phys. Rev. B18 2185
  • [31] Novikov V V, Poznansky O P and Privalko V P 1995 Sci. and Engineering of Composite Materials 4 49
  • [32] Novikov V V and Poznansky O P 1995 Fiz. Tverdovo Tela 37 830 (in Russian)
  • [33] Novikov V V 1996 High Temperature 34 688
  • [34] Hashin Z and Shtrikman S A 1963 Mech. Phys. Solids 11 127; Kr ¨oner E 1967 J. Mech. Phys. Solids 15 319
  • [35] See e.g. Ref. [9]
  • [36] Wojciechowski K W 1989 Phys. Lett. A137 60
  • [37] Novikov V V, Wojciechowski K W, Belov D V and Privalko V P Phys. Rev. E (in print)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0013-0051
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