A three-dimensional rotating rigid units network exhibiting negative Poisson's ratios

Physica Status Solidi (B) Basic Research

Volumn 249, Issue 7, 2012, Pages 1330-1338

  Attard, Daphne ^a   Grima, Joseph N ^a  

^a UNIVERSITY OF MALTA   (Malta)

Author keywords

3D models; Deformation; Negative Poisson's ratio; Rotating rigid units

Indexed keywords

3D MODELING; DEFORMATION; ELASTIC MODULI; POISSON RATIO;

3D STRUCTURE; GEOMETRICAL FEATURES; NEGATIVE POISSON'S RATIOS; NEGATIVE VALUES; ON-AXIS; RELATIVE ROTATION; ROTATING RIGID UNITS; THREE-DIMENSIONAL (3D) MODEL;

RIGID STRUCTURES;

EID: 84863506618     PISSN: 03701972     EISSN: 15213951     Source Type: Journal    
DOI: 10.1002/pssb.201084223     Document Type: Article

References (61)

1. K. E. Evans, M. A. Nkansah, I. J. Hutchinson, and S. C. Rogers, Nature 253, 124 (1991).
2. R. S. Lakes, Science 235, 1038- 1040 (1987).
3. N. Chan and K. E. Evans, J. Cellular Plast. 34, 231- 260 (1998).
4. K. L. Alderson, A. P. Pickles, P. J. Neale, and K. E. Evans, Acta Metall. Mater. 42, 2261- 2266 (1994).
5. K. L. Alderson, A. Fitzgerald, and K. E. Evans, J. Mater. Sci. 35, 4039- 4047 (2000).
6. C. W. Smith, F. Lehman, R. J. Wootton, and K. E. Evans, Cell. Polym. 18, 79- 101 (1999).
7. A. Alderson, J. Rasburn, S. Ameer-Beg, P. G. Mullarkey, W. Perrie, and K. E. Evans, Ind. Eng. Chem. Res. 39, 654- 665 (2000).
8. A. Alderson, J. Rasburn, K. E. Evans, and J. N. Grima, Membr. Technol. 137, 6- 8 (2001).
9. J. Rasburn, P. G. Mullarkey, K. E. Evans, A. Alderson, S. Ameer-Beg, and W. Perrie, AiChE J. 47, 2623- 2626 (2001).
10. C. P. Chen and R. S. Lakes, Cell. Polym. 8, 343- 369 (1989).
11. C. P. Chen and R. S. Lakes, J. Eng. Mater. Technol. (ASME) 118, 285- 288 (1996).
12. B. Howell, P. Prendergast, and L. Hansen, Acoustic Behaviour of Negative Poisson's Ratio Materials (David Taylor Research Center, Bethesda Md, Ship Materials Engineering Dept., 1991).
13. F. Scarpa and G. Tomlinson, J. Sound Vib. 230, 45- 67 (2000).
14. F. Scarpa, L. G. Ciffo, and Y. R. Yates, Smart Mater. Struct. 13, 49- 56 (2004).
15. F. Scarpa, W. A. Bullough, and P. Lumley, Proc. Inst. Mech. Eng. C: J. Mech. Eng. Sci. 218, 241- 244 (2004).
16. L. J. Gibson, M. F. Ashby, G. S. Schajer, and C. I. Robertson, Proc. R. Soc. Lond. A 382, 25- 42 (1982).
17. I. G. Masters and K. E. Evans, Compos. Struct. 35, 403- 422 (1996).
18. F. Scarpa, Compos. Sci. Technol. 70, 1033 (2010).
19. A. Yeganeh-Haeri, D. J. Weidner, and J. B. Parise, Science 257, 650- 652 (1992).
20. N. R. Keskar and J. R. Chelikowsky, Nature 358, 222- 224 (1992).
21. N. R. Keskar and J. R. Chelikowsky, Phys. Rev. B 48, 227- 233 (1993).
22. H. Kimizuka, H. Kaburaki, and Y. Kogure, Phys. Rev. Lett. 84, 5548- 5551 (2000).
23. A. Alderson and K. E. Evans, Phys. Chem. Miner. 28, 711- 718 (2001).
24. A. Alderson and K. E. Evans, Phys. Rev. Lett. 89, 225503 (2002).
25. A. Alderson and K. E. Evans, J. Phys.: Condens. Matter 21, 025401 (2009).
26. J. N. Grima, R. Gatt, A. Alderson, and K. E. Evans, J. Mater. Chem. 15, 4003- 4005 (2005).
27. J. N. Grima, A. Alderson, and K. E. Evans, Mater. Sci. Eng. A 423, 219- 224 (2006).
28. J. N. Grima, R. Jackson, A. Alderson, and K. E. Evans, Adv. Mater. 12, 1912- 1928 (2000).
29. J. N. Grima, R. Gatt, V. Zammit, J. J. Williams, A. Alderson, and R. I. Walton, J. Appl. Phys. 101, 86102 (2007).
30. J. N. Grima, P. S. Farrugia, C. Caruana, R. Gatt, and D. Attard, J. Mater. Sci. 43, 5962- 5971 (2008).
31. J. J. Williams, C. W. Smith, K. E. Evans, Z. A. D. Lethbridge, and R. I. Walton, Acta Mater. 55, 5697- 5707 (2007).
32. K. E. Evans, M. A. Nkansah, and I. J. Hutchinson, Acta Metall. Mater. 42, 1289- 1294 (1994).
33. K. E. Evans, A. Alderson, and F. R. Christian, J. Chem. Soc. Faraday Trans. 91, 2671- 2680 (1995).
34. J. B. Choi and R. S. Lakes, Int. J. Mech. Sci. 37, 51- 59 (1995).
35. A. Bezazi, F. Scarpa, and C. Remillat, Compos. Struct. 71, 356- 364 (2005).
36. O. Sigmund, Mech. Mater. 20, 351- 368 (1995).
37. A. Alderson, K. L. Alderson, K. E. Evans, J. N. Grima, M. R. Williams, and P. J. Davies, Comput. Methods Sci. Technol. 10, 117- 126 (2004).
38. J. N. Grima and K. E. Evans, J. Mater. Sci. Lett. 19, 1563- 1565 (2000).
39. J. N. Grima, A. Alderson, and K. E. Evans, Phys. Status Solidi B 242, 561- 575 (2005).
40. J. N. Grima, V. Zammit, R. Gatt, A. Alderson, and K. E. Evans, Phys. Status Solidi B 224, 866- 882 (2007).
41. K. W. Wojciechowski, Phys. Lett. A 137, 60- 64 (1989).
42. M. Kowalik and K. W. Wojciechowski, Phys. Status Solidi B 242, 626- 631 (2005).
43. K. V. Tretiakov and K. W. Wojciechowski, Phys. Status Solidi B 244, 1038- 1046 (2007).
44. K. W. Wojciechowski, J. Phys. A 36, 11765- 11778 (2003).
45. K. W. Wojciechowski, K. V. Tretiakov, and M. Kowalik, Phys. Rev. E 67, 036121 (2003).
46. J. W. Narojczyk and K. W. Wojciechowski, Phys. Status Solidi B 245, 2463- 2468 (2008).
47. V. V. Novikov and K. W. Wojciechowski, Phys. Solid State 41, 1970- 1975 (1999).
48. L. Rothenburg, A. A. Berlin, and R. J. Bathurst, Nature 354, 470- 472 (1991).
49. K. W. Wojciechowski and A. C. Branka, Mol. Phys. Rep. 6, 71 (1994).
50. R. Lakes and K. W. Wojciechowski, Phys. Status Solidi B 245, 545- 551 (2008).
51. K. E. Evans and A. Alderson, Adv. Mater. 12, 617- 628 (2000).
52. J. N. Grima, New Auxetic Materials, Ph.D. dissertation, University of Exeter (2000).
53. A. Alderson, Chem. Ind. 384- 391 (1999).
54. P. V. Pikhitsa, Phys. Rev. Lett. 93, 15505 (2004).
55. D. Prall and R. S. Lakes, Int. J. Mech. Sci. 39, 305- 314 (1997).
56. J. N. Grima, R. Gatt, and P. S. Farrugia, Phys. Status Solidi B 245, 511- 520 (2008).
57. J. N. Grima, A. Alderson, and K. E. Evans, J. Phys. Soc. Jpn. 74, 1341- 1342 (2005).
58. S. A. McDonald, N. Ravirala, P. J. Withers, and A. Alderson, Scr. Mater. 60, 232- 235 (2009).
59. J. N. Grima, V. Zammit, R. Gatt, D. Attard, C. Caruana, and T. G. Chircop Bray, J. Non-Cryst. Solids 354, 4214- 4220 (2008).
60. J. J. Williams, C. W. Smith, K. E. Evans, Z. A. D. Lethbridge, and R. I. Walton, Chem. Mater. 19, 2423- 2434 (2007).
61. N. Gaspar, C. W. Smith, A. Alderson, J. N. Grima, and K. E. Evans, J. Mater. Sci. 46, 372- 384 (2011).