On the mechanical properties and auxetic potential of various organic networked polymers

Molecular Simulation

Volumn 34, Issue 10-15, 2008, Pages 1149-1158

  Grima, Joseph N ^a   Attard, Daphne ^a   Cassar, Richard N ^a   Farrugia, Luke ^a   Trapani, Lara ^a   Gatt, Ruben ^a  

^a UNIVERSITY OF MALTA   (Malta)

Author keywords

Auxetic; Mechanical properties; Negative Poisson's ratios; Networked polymers

Indexed keywords

ABS RESINS; FORECASTING; MECHANICAL PROPERTIES; ORGANIC POLYMERS; POISSON DISTRIBUTION; POISSON EQUATION; POLYMERS;

ANISOTROPIC MATERIALS; AUXETIC; CALIX[4]ARENE; MECHANICAL BEHAVIOURS; NEGATIVE POISSON'S RATIOS; NETWORKED POLYMERS; POISSON'S RATIOS; POLYPHENYLACETYLENE;

POISSON RATIO;

EID: 56749154213     PISSN: 08927022     EISSN: 10290435     Source Type: Journal    
DOI: 10.1080/08927020802512187     Document Type: Article

References (61)

1. K.E. Evans, M.A. Nkansah, I.J. Hutchinson, and S.C. Rogers, Molecular network design, Nature 353 (1991), p. 124.
2. R. Lakes, Foam structures with a negative Poisson's ratio, Science 235 (1987), pp. 1038-1040.
3. S.P. Timoshenko and J.N. Goodier, Theory of Elasticity, 3rd ed., McGraw-Hill, New York, 1970.
4. A. Alderson, A triumph of late rat thought, Chem. Ind. 10 (1999), pp. 384-391.
5. A. Alderson, P.J. Davies, M.R. Williams, K.E. Evans, K.L. Alderson, and J.N. Grima, Modelling of the mechanical and mass transport properties of auxetic molecular sieves: an idealised organic (polymeric honevcomh) host-guest system, Mol. Simul. 31 (2005), pp. 897-905.
6. J.N. Grima and K.E. Evans, Self expanding molecular networks, Chem. Comm. 16 (2000), pp. 1531-1532.
7. J.N. Grima, J.J. Williams, and K.E. Evans, Networked calix[4]arene polymers with unusual mechanical properties, Chem. Comm. 32 (2005), pp. 4065-4067.
8. J.N. Grima, J.J. Williams, R. Gatt, and K.E. Evans, Modelling of auxetic networked polymers built from calvx[4]arene building blocks, Mol. Simul. 31 (2005), pp. 907-914.
9. K.E. Evans, A. Alderson, and F.R. Christian, Auxetic two-dimensional polymer networks. An example of tailoring geometry for specific mechanical properties, J. Chem. Soc. Faraday Trans. 91 (1995), pp. 2671-2680.
10. F. Scarpa, W.A. Bullough, and P. Lumley, Trends in acoustic properties of iron particle seeded auxetic polvurethane foam, P.I. Mech. Eng. C-J. Mech. Eng. Sci. 218 (2004), pp. 241-244.
11. K.E. Evans, M.A. Nkansah, and I.J. Hutchinson, Auxetic foams -modeling negative Poisson's ratios, Acta Metall. Mater. 42 (1994), pp. 1289-1294.
12. C.W. Smith, J.N. Grima, and K.E. Evans, A novel mechanism for generating auxetic behaviour in reticulated foams: missing rib foam model, Acta Mater. 48 (2000), pp. 4349-4356.
13. J.N. Grima, A. Alderson, and K.E. Evans, An alternative explanation for the negative Poisson's ratio in auxetic foams, J. Phys. Soc. Jpn. 74 (2005), pp. 1341-1342.
14. R.S. Lakes and K. Elms, lndentability of conventional and negative Poisson's ratio foams, J. Compos. Mater. 27(1993), pp. 1193-1202.
15. N. Chan and K.E. Evans, Indentation resilience of conventional and auxetic foams, J. Cell. Plast. 34 (1998), pp. 231-260.
16. J.B. Choi and R.S. Lakes, Nonlinear analysis of the Poisson's ratio of negative Poisson's ratio foams, J. Compos. Mater. 29 (1995). pp. 113-128.
17. A. Yeganeh-Haeri, D.J. Weidner, and J.B. Parise, Elasticity of alpha-cristobalite-a silicon dioxide with a negative Poisson 's ratio, Science 257 (1992), pp. 650-652.
18. 2 from 1st-principles calculations, Nature 358 (1992), pp. 222-224.
19. A. Alderson, K.L. Alderson, K.E. Evans, J.N. Grima, and M. Williams, Modelling of negative Poisson's ratio nanomaterials: deformation mechanisms, structure-property relationships and applications, J. Metastable Nanocryst. Mater. 23 (2005), pp. 55-58.
20. A. Alderson and K.E. Evans, Rotation and dilation deformation mechanisms for auxetic behaviour in the alpha-cristobalite tetrahedral framework structure, Phys. Chem. Miner. 28 (2001), pp. 711-718.
21. A. Alderson, K.L. Alderson, K.E. Evans, J.N. Grima, M.R. Willams, and P.J. Davies, Modelling the deformation mechanisms, structure-property relationships and applications of auxetic nanomaterials, Phys. Status Solidi B 242 (2005), pp. 499-508.
22. J.N. Grima, R. Gatt. A. Alderson, and K.E. Evans, On the origin of auxetic behaviour in the silicate α-cristobalite, J. Mater. Chem. 15 (2005), pp. 4003-4005, doi: 10.1039/b508098c.
23. 2. Phys. Status Solidi B 244 (2007), pp. 900-909.
24. 2: A molecular-dynamics study, Phys. Rev. Lett. 84 (2000), pp. 5548-5551.
25. A. Alderson and K.E. Evans, Molecular origin of auxetic behavior in tetrahedral framework silicates, Phys. Rev. Lett. 89 (2002), 225503.
26. J.N. Grima, R. Gatt, A. Alderson, and K.E. Evans, An alternative explanation for the negative Poisson 's ratios in alpha-cristobalite, Mater. Sci & Eng. A 423 (2006), pp. 219-224.
27. J.N. Grima, R. Jackson, A. Alderson, and K.E. Evans, Do zeolites have negative Poisson's ratios? Adv. Mater. 12 (2000), pp. 1912-1918.
28. J.N. Grima, V. Zammit, R. Gatt, A. Alderson, and K.E. Evans, Auxetic behaviour from rotating semi-rigid units, Phys. Status Solidi B 244 (2007), pp. 866-882.
29. J.N. Grima, R. Gatt, V. Zammit, J.J. Williams, K.E. Evans, A. Alderson, and R.I. Walton, Natrolite: a zeolite with negative Poisson's ratios, J. Appl. Phys. 101 (2007), 086102.
30. J.J. Williams, C.W. Smith, K.E. Evans. Z.A.D. Lethbridge, and R.I. Walton, Off-axis elastic properties and the effect of extraframework species on structural flexibility of the NAT-type zeolites: simulations of structure and elastic properties, Chem. Mater. 19 (2007), pp. 2423-2434.
31. C. Sanchez-Valle, S.V. Sinogeikin, Z.A.D. Lethbridge, R.I. Walton, C.W. Smith, K.E. Evans, and J.D. Bass, Brillouin scattering study on the single-crystal elastic properties of natrolite and analcime zeolites, J. Appl. Phys. 98 (2005), 053508.
32. R.H. Baughman and D.S. Galvao, Crystalline networks with unusual predicted mechanical and thermal-properties, Nature 365 (1993), pp. 735-737.
33. C.B. He, P.W. Liu, PJ. McMullan, and A.C. Griffin, Toward molecular atactics: main chain liquid crystalline polymers consisting of laterally attached paraquaterphenyls, Phys. Status Solidi B 242 (2005), pp. 576-584.
34. C.B. He, P.W. Liu, and A.C. Griffin, Toward negative Poisson ratio polymers through molecular design. Macromolecules 31 (1998), pp. 3145-3147.
35. P. Aldred and S.C. Moratti, Dynamic simulations of potentially auxettc liquid-crystalline polymers incorporating swlveling meso-gens, Mol. SirnuL 31 (2005),'pp. 883-887.
36. K.L. Alderson and K.E. Evans, Strain-dependent behaviour of microporous polyethylene with a negative Poisson ratio, J. Mater. Sci. 28 (1993), pp. 4092-4098.
37. K.E. Evans and B.D. Caddock, Microporous materials with negative Poisson 's ratios. 2. Mechanisms and interpretation, J. Phys. D: Appl. Phys. 22 (1989), pp. 1883-1887,
38. 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), pp. 362-365.
39. A. Alderson and K.E. Evans, Microstructural modeling of auxetic microporous polymers, J. Mater. Sci. 30 (1995), pp. 3319-3332.
40. A. Alderson and K.E. Evans, Modelling concurrent deformation mechanisms in auxetic microporous polymers, J. Mater. Sci. 32 (1997), pp. 2797-2809.
41. G.Y. Wei, Design of auxetic polymer self-assemblies, Phys. Status Solidi B 242 (2005), pp. 742-748.
42. J.N. Grima, A. Alderson, and K.E. Evans, Auxetic behaviour from rotating rigid units, Phys. Status Soiidi B 242 (2005), pp. 561 -575.
43. K.V. Tretiakov and K. Wojciechowski, Poisson's ratio of simple planar 'isotropic' solids in two dimensions, Phys. Status Soiidi B 244 (2007), pp. 1038-1046.
44. R.F. Almgren, An isotropic three dimensional structure with Poisson's ratio = - 1. J. Elasticity 15 (1985), pp. 427-430.
45. D. Prall and R.S. Lakes, Properties of a chiral honeycomb with a Poisson's ratio of - 1, Int. J. Mech. Sci. 39 (1997), pp. 305-314.
46. A. Spadoni, M. Ruzzene, and F. Scarpa, Global and local linear buckling behavior of a chiral cellular structure, Phys. Status Soiidi B 242 (2005), pp. 695-709.
47. K.W. Wojciechowski, Constant thermodynamic tension Monte Carlo studies of elastic properties of a two-dimensional systems of hard cyclic hexamers. Mol. Phys. 61 (1987), pp. 1247-1258.
48. K.W. Wojciechowski and A.C. Branka, Negative Poisson ratio in a two-dimensional 'isotropic' model, Phys. Rev. A 40 (1989), pp. 7222-7225.
49. K.W. Wojciechowski, Non-chiral, molecular model of negative Poisson ratio in two-dimensions, J. Phys. A. Math. Gen. 36 (2003), pp. 11765-11778.
50. J.N. Grima and K.E. Evans, Auxetic behaviour from rotating squares, J. Mater. Sci. Lett. 19 (2000), pp. 1563-1566.
51. Y. Ishibashi and M.J. Iwata, A microscopic model of a negative Poisson's ratio in some crystals, J. Phys. Soc. Jpn. 69 (2000), pp. 2702-2703.
52. J.N. Grima, R. Gatt, A. Alderson, and K.E. Evans, On the potential of connected stars as auxetic system, Mol. Simul. 31 (2005), pp. 925-936.
53. L.J. Gibson, M.F. Ashby, G.S. Schajer, and C.I. Robertson, The mechanics of two-dimensional cellular materials, Proc. R. Soc. Lon. A 382 (1982), pp. 25-42.
54. L.J. Gibson and M.F. Ashby, Cellular Solids: Structure and Properties, Pergamon, Oxford, 1988.
55. J.N. Grima and K.E. Evans, Auxetic behaviour from rotating triangles, J. Mater. Sci. 41 (2006), pp. 3193-3196.
56. J.N. Grima, R. Gatt, P.S. Farrugia, A. Alderson, and K.E. Evans, Auxetic cellular materials and structures, in Proceedings of lMECE 2005, 2005.
57. H. Sun, S. Mumby, J. Maple, and A. Hagler, An ab-initio cff93 all-atom force-field for polycarbonates, J. Am. Chem. Soc. 116 (1994), pp. 2978-2987.
58. P.P. Ewald, Die Berechnung optischer und elektrostatischer Gitterpotentlale, Ann. d. Physik 64 (1921), pp. 253-287.
59. J.F. Nye, Physical Properties of Crystals, Clarendon, Oxford, 1957.
60. A. Hunter, J. Singh, and J. Thornton, pi-pi-interactions-The geometry and energetics of phenylalanine phenylalanine. Interactions in proteins, J. Mol. Biol. 218 (1991), pp. 837-846.
61. I.G. Masters and K.E. Evans, Models for the elastic deformation of honeycombs, Comp. Struct. 35 (1996), pp. 403-432.