Poisson's ratio of simple planar 'isotropic' solids in two dimensions

Physica Status Solidi (B) Basic Research

Volumn 244, Issue 3, 2007, Pages 1038-1046

  Tretiakov, Konstantin V ^a   Wojciechowski, Krzysztof W ^a  

^a INSTITUTE OF MOLECULAR PHYSICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947175548     PISSN: 03701972     EISSN: 15213951     Source Type: Journal    
DOI: 10.1002/pssb.200572721     Document Type: Conference Paper

References (61)

1. L. D. Landau, E. M. Lifshits, A. M. Kosevich, and I. P. Pitaevskii, Theory of Elasticity (Pergamon Press, London, 1986).
2. R. F. Almgren, J. Elasticity 15, 427 (1985).
3. A. G. Kolpakov, Prikl. Mat. Mekh. 49, 969-977 (1985).
4. R. Lakes, Science 235, 1038 (1987).
5. K. W. Wojciechowski, Mol. Phys. 61, 1247-1258 (1987).
6. R. J. Bathrust and L. Rothenburg, Int. J. Eng. Sci. 26, 373 (1988).
7. K. E. Evans and B. D. Caddock, J. Phys. D 22, 1883 (1989).
8. K. W. Wojciechowski, Phys. Lett. A137, 60-64 (1989).
9. K. W. Wojciechowski and A. C. Brańka, Phys. Rev. A 40, 7222-7225 (1989).
10. K. E. Evans, I. J. Hutchinson, and S. C. Rogers, Nature 353, 124 (1991).
11. S. Hirotsu, J. Chem. Phys. 94, 3949 (1991).
12. G. Wei, J. Chem. Phys. 96, 3226 (1992).
13. R. Lakes, Adv. Mater. 5, 293-296 (1993).
14. A. A. Berlin, L. Rothenburg, and R. J. Bathurst, Polym.-Plast. Technol. Eng. 35, 605 (1996).
15. R. H. Baughman, J. M. Shacklette, A. A. Zakhidov, and S. Stafstrom, Nature 392, 362 (1998).
16. K. W. Wojciechowski, Isotropic systems of negative poisson ratios, in: Statistical Physics: Experiments, Theories, and Computer Simulations, edited by M. Tokuyama and I. Oppenheim (World Scientific, Singapore, 1998), p. 107.
17. R. H. Baughman, S. O. Dantas, S. Stafstrom, A. A. Zakhidov, T. B. Mitchell, and D. H. E. Dubin, Science 288, 2018 (2000).
18. K. E. Evans and A. Alderson, Adv. Mater. 12, 617 (2000).
19. K. E. Evans and K. L. Alderson, Eng. Sci. Educ. J. 4, 148 (2000).
20. J. N. Grima and K. E. Evans, J. Mater. Sci. Lett. 19, 1563-1565 (2000).
21. Y. Ishibashi and M. Iwata, J. Phys. Soc. Jpn. 69, 2702-2703 (2000).
22. K. Abe, S. V. Dmitriev, and T. Shigenari, J. Phys. Soc. Jpn. 70, 1431 (2001).
23. A. A. Vasiliev, S. V. Dmitriev, Y. Ishibashi, and T. Shigenari, Phys. Rev. B 65, 94101 (2002).
24. K. W. Wojciechowski, J. Phys. A, Math. Gen. 36, 11765-11778 (2003).
25. K. W. Wojciechowski, Comput. Methods Sci. Technol. 10(2), 115 (2004).
26. K. W. Wojciechowski, A. Alderson, A. C. Brańka, and K. L. Alderson, phys. stat. sol. (b) 242(3), 497 (2005), see also other papers in that issue and references therein.
27. See e.g., http://www.ifmpan.poznan.pl/zp10/auxet2/main.html.
28. K. W. Wojciechowski and J. Narojczyk, Rev. Adv. Mater. Sci. 12(2), 120-126 (2006).
29. E. P. Hadjigeorgiou and G. E. Stavroulakis, Comput. Methods Sci. Technol. 10(2), 147 (2004).
30. T. Paszkiewicz, M. Pruchmk, and S. Wolski, Comput. Methods Sci. Technol. 10(2), 183 (2004).
31. S. Shilko and D. Konyok, Comput. Methods Sci. Technol. 10(2), 197 (2004).
32. H. Wu and G. Wei, Comput. Methods Sci. Technol. 10(2), 229 (2004).
33. A. Alderson, K. I. Alderson, K. E. Evans, J. N. Grima, M. R. Williams, and P. J. Davies, Comput. Methods Sci. Technol. 10(2), 117 (2004).
34. J. N. Grima, A. Alderson, and K. E. Evans, Comput. Methods Sci. Technol. 10(2), 137 (2004).
35. T. L. Lew, A. B. Spencer, F. Scarpa, and K. Worden, Comput. Methods Sci. Technol. 10(2), 169 (2004).
36. K. W. Wojciechowski, Monte Carlo simulations of model particles forming phases of negative Poisson ratio, in: Properties and Aplications of Nanocrystalline Alloys from Amorphous Precursors, edited by B. Idzikowski, P. Svec, and M. Miglierini (Kluwer Academic Publishers, Dordrecht, 2005), pp. 241-252.
37. K. W. Wojciechowski, K. V. Tretiakov, A. C. Brańka, and M. Kowalik, J. Chem. Phys. 119, 939-946 (2003).
38. M. Parrinello and A. Rahman, J. Chem. Phys. 76, 2662 (1982).
39. J. R. Ray and A. Rahman, J. Chem. Phys. 80, 4423 (1984).
40. J. R. Ray and A. Rahman, J. Chem. Phys. 82, 4243 (1985).
41. K. W. Wojciechowski and K. V. Tretiakov, Comput. Phys. Commun. 121-122, 528 (1999).
42. K. W. Wojciechowski and A. C. Brańka, Phys. Lett. A 134, 314-318 (1989).
43. M. A. Bates and D. Frenkel, Phys. Rev. E 61, 5223 (2000).
44. S. Sengupta, P. Nielaba, and K. Binder, Phys. Rev. E 61, 6294 (2000).
45. K. W. Wojciechowski, D. Frenkel, and A. C. Brańka, Phys. Rev. Lett. 66, 3168-3171 (1991).
46. K. W. Wojciechowski, A. C. Brańka, and D. Frenkel, Physica A 196, 519-545 (1993).
47. K. W. Wojciechowski, unpublished.
48. K. V. Tretiakov and K. W. Wojciechowski, J. Non-Cryst. Solids 352, 4221 (2006).
49. F. H. Stillinger, E. A. DiMarzio, and R. L. Kornegay, J. Chem. Phys. 40, 1564 (1964).
50. F. H. Stillinger and Z. W. Salsburg, J. Chem. Phys. 46, 3962 (1967).
51. B. J. Alder, W. G. Hoover, and T. E. Wainwright, Phys. Rev. Lett. 11, 241-243 (1963).
52. W. G. Hoover, W. T. Ashurst, and R. Grover, J. Chem. Phys. 57, 1259-1262 (1972).
53. W. G. Hoover, N. E. Hoover, and K. Henson, J. Chem. Phys. 70, 1837-1844 (1979).
54. K. V. Tretiakov, Ph.D. thesis, Institute of Molecular Physics, Polish Academy of Sciences (2000).
55. K. W. Wojciechowski, K. V. Tretiakov, and M. Kowalik, Phys. Rev. E 67, 036121 (2003).
56. M. Kowalik, Computer simulations of the Poisson's ratio of selected hard-core systems (in Polish), Ph.D. thesis, Institute of Molecular Physics, Polish Academy of Sciences, Poznań (2005).
57. M. Kowalik and K. W. Wojciechowski, phys. stat. sol. (b) 242, 626 (2005).
58. K. V. Tretiakov and K. W. Wojciechowski, phys. stat. sol. (b) 242, 730-741 (2005).
59. K. W. Wojciechowski, in: Simple models of unusual elastic properties, edited by M. Tokuyama and I. Oppenheim, Slow Dynamic in Complex Systems: 3rd International Symposium (AIP, Melville, 2004), pp. 735-738.
60. R. Lakes, Int. J. Mech. Sci. 43, 1579-1589 (2001).
61. K. W. Wojciechowski, Mol. Phys. 72, 955 (1991).