Negative Poisson's ratios from rotating rectangles

• Autorzy: Grima J. N. , Alderson A. , Evans K. E.
• Języki publikacji: EN

Abstrakty

EN

Materials with a negative Poisson's ratio exhibit the unexpected property of becoming fatter when stretched and narrower when compressed. This counter-intuitive behaviour is known as 'auxetic behaviour' and imparts many beneficial effects on the material’s macroscopic properties. This paper discusses the potential of systems composed of rigid rectangles connected together through flexib1e hinges at their vertices. It will be shown that, on application of uniaxial loads, these rigid rectangles will rotate with respect to each other to form, in some cases, a more open structure hence giving rise to a negative Poisson's ratio.

Słowa kluczowe

EN

negative Poisson's ratio; auxetic; mechanical properties

• Wydawca: Institute of Bioorganic Chemistry Scientific Publishers OWN, Polish Academy of Sciences
• Czasopismo: Computational Methods in Science and Technology
• Rocznik: 2004
• Tom: Vol. 10, nr 2
• Strony: 137--145
• Opis fizyczny: Bibliogr. 28 poz., rys., wykr.

Twórcy

autor

Grima J. N.

• Department of Che m istry, University of Malta, Msida M SD 06, Malta

autor

Alderson A.

• Centre for Materials Research and Innovation, Bolton Institute, Bolton BI3 5AB, U.K.

autor

Evans K. E.

• Department of Engineering, University of Exeter, Exeter, EX4 4QF, U.K.

Bibliografia

• [1] K. E. Evans, M. A. Nkansah, I. J. Hutchinson, and S. C. Rogers, Nature, 353, 124 (1991).
• [2] L. J. Gibson, M. F. Ashbv, G. S. Schajer, and C. I. Robertson, Proc. R. Soc. Lond. A 382, 25 (1982).
• [3] R. F. Almgren, J. Elast., 15, 427 (1985).
• [4] I. G. Masters and K. E. Evans, Compos. Struct. 35, 403 (1996).
• [5] G. Y. Wei, J. Chem. Phys., 96, 3226 (1992).
• [6] A. Alderson, J. Rasburn, S. Ameer-Beg, P. G. Mullarkev, W. Perrie, and K. E. Evans, Ind. Eng. Chem. Res. 39, 654 (2000).
• [7] K. W. Wojciechowski, Mol. Phys., 61, 1247 (1987).
• [8] K. W. Wojciechowski, Phys. Lett. A, 137, 60 (1989).
• [9] K. W. Wojciechowski and A. C. Branka, Phvs. Rev. A, 40, 7222 (1989).
• [10] K. W. Wojciechowski, J. Phys. A: Math. Gen. 36, 11765 (2003).
• [11] D. Prall and R. S. Lakes, Int. J. Mech. Sci. 39, 305 (1997).
• [12] O. Sigmund, S. Torquato, and I. A. Aksav, J. Mater. Res. 13, 1038 (1998).
• [13] C. W. Smith, J. N. Grima, and K. E. Evans, Acta Mater. 48, 4349 (2000).
• [14] J. N. Grima, A. Alderson, and K. E. Evans, ‘Zeolites with negative Poisson’s ratios’, Paper presented at the RSC 4th International Materials Conference (MC4), Dublin, Ireland P81 (1999).
• [15] J. N. Grima and K. E. Evans, Chem. Comm. 1531 (2000a).
• [16] J. N. Grima, and K. E. Evans, J. Mat. Sci. Lett., 19,1563 (2000b).
• [17] J. N. Grima, PhD Thesis, University of Exeter, Exeter, UK (2000).
• [18] Y. Ishibashi and M. Iwata, J. Phys. Soc. Jpn. 69, 2702 (2000).
• [19] A. A. Vasiliev, S. V. Dmitriev, Y. Ishibashi and T. Shigenari, 2002, Phys. Rev. B, 65, 094101.
• [20] G. Y. Wei and S. F. Edwards, Phvs. Rev. E, 58, 6173 (1998).
• [21] V. V. Novikov and K. W. Wojciechowski, Phvs. Solid State, 41, 1970 (1999).
• [22] R. Lakes, Science, 235, 1038 (1987).
• [23] K. E. Evans, M. A. Nkansah, and I. J. Hutchinson, Acta Metall. Mater. 2, 1289 (1994).
• [24] J. B. Choi and R. S. Lakes, J. Comp. Mat. 29, 113 (1995).
• [25] N. Chan and K. E. Evans, J. Cellular Plast. 34, 231 (1998).
• [26] J. N. Grima, R. Jackson, A Alderson, and K. E. Evans, Adv. Mat. 12, 1912 (2000).
• [27] K. E. Evans, and B. D. Caddock, J. Phys. D: Appl. Phys. 22, 1883 (1989).
• [28] J. F. Nye, Physical Properties of Crystals, (Oxford: Clarendon) (1957).