Auxetic cellular materials and structures

American Society of Mechanical Engineers, Aerospace Division (Publication) AD

Volumn 70 AD, Issue , 2005, Pages 489-495

  Grima, Joseph N ^a   Gatt, Ruben ^a   Farrugia, Pierre Sandre ^a   Alderson, Andrew ^b   Evans, Kenneth E ^c  

^a UNIVERSITY OF MALTA   (Malta)

^b UNIVERSITY OF BOLTON   (United Kingdom)

^c UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

Auxetic; Cellular; Honeycombs; Mechanical properties; Negative Poisson's ratios

Indexed keywords

AUXETIC; CELLULAR; HONEYCOMBS; NEGATIVE POISSON'S RATIO; NOVEL CELLULAR SYSTEMS;

AVIATION; HELICOPTER ROTORS; HONEYCOMB STRUCTURES; LIFT; MECHANICAL PROPERTIES; POISSON RATIO; WINGS;

MATERIALS SCIENCE;

EID: 33645670416     PISSN: 07334230     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/IMECE2005-82260     Document Type: Conference Paper

References (43)

1. Evans, K.E., Nkansah, M.A., Hutchinson, I.J., Rogers, S.C., 1991, "Molecular network design," Nature, 3, p. 124.
2. Love, A.E.H., 1944, A Treatise on the Mathematical Theory of Elasticity, 4th ed., Dover Publications, New York
3. Scarpa, F., Pastorino, P., Garelli, A., Patsias, S., Ruzzene, A., 2005, "Auxetic compliant flexible PU foams: static and dynamic properties," Physica Status Solidi B - Basic Solid State Phyiscs, 242, pp. 681-694.
4. Grima, J.N., Alderson, A., Evans, K.E., 2005, "An alternative explanation for the negative Poisson's ratios in auxetic foams," Journal of the Physical Society of Japan, 74, pp. 1341-1342.
5. Lakes, R., 1987, "Foams structures with a negative Poisson's ratio," Science, 235, pp. 1038-1040.
6. Evans, K.E., Nkansah, M.A., Hutchinson, I.J., 1994, "Auxetic foams - Modelling negative Poisson's ratios," Acta Metallurgica et Materialia, 2, pp. 1289-1294.
7. Choi, J.B., Lakes, R.S., 1995, "Noblinear-Analysis of the Poisson ratio of negative Poisson ratio Foams," Journal of Composite Materials, 29, pp. 113-128.
8. Chan, N., Evans, K.E., 1998, "Indentation resilience of conventional and auxetic foams," Journal of Cellular Plastics, 34, p. 231.
9. Smith, C.W., Grima, J.N., Evans, K.E., 2000, "A novel mechanism for generating auxetic behaviour in reticulated foams: Missing rib foam model," Acta Materialia, 48, pp. 4349-4356.
10. Alderson, K.L., Evans, K.E., 1992, "The fabrication of microporous polyethylene having a negative Poisson ratio," Polymer, 33, pp. 4435-4438.
11. Baughman, R.H., Galvao, D.S., 1993, "Crystalline networks with unusual predicted mechanical and thermal properties," Nature, 365, pp. 735-737.
12. He, C.B., Liu, P.W., Griffin, A.C., 1998, "Toward negative Poisson ratio polymers through molecular design," Macromolecules, 31, pp. 3145-3147.
13. Grima, J.N., Evans, K.E., 2000, "Self expanding molecular networks," Chemical Communications, (16), pp. 1531-1532.
14. Grima, J.N., Evans, K.E., 2000, "Auxetic behaviour from rotating squares," Journal of Materials Science Letters, 19, pp. 1563-1565.
15. Donoghue, J.P., Evans, K.E., 1991, "Composite laminates with enhanced indentation and fracture resistance due to negative Poisson's ratio," Proc. 8th International Conference on Composite Materials, edited by S.W. Tsai and G.S. Springer, SAMPE, Covina, California, pp. 2-K-1-2-K-10.
16. Clarke, J.F., Duckett, R.A., Hine, P.I, Hutchinson, I.J., Ward, I.M., 1994, "Neagtive Poisson's ratios in angle-ply laminates - Theory and Experimentt," Composites, 25, pp. 863-868.
17. Hirotsu, S., 1990, "Elastic anomaly near the critical-point of volume-phase transition in polymer gels," Macromolecules, 23, pp. 903-905.
18. Hirotsu, S., 1991, "Softening of bulk modulus and negative Poisson ratio near the volume phase-transition of polymer gels," Journal of Chemical Physics, 94, pp. 3949-3957.
19. Milton, G.W., 1992, "Composite materials with Poisson ratios close to -1," Journal of the Mechanics and Physics of Solids, 40, pp. 1105-1137.
20. Baughman, R.H., Shacklette, J.M., Zakhidov, A.A., Stafstrom, S., 1998, "Negative Poisson's ratios as a common feature of cubic metals," Nature, 392, pp. 362-365.
21. Yeganeh-Haeri, A., Weidner, D.J., Panse, J.B., 1992, "Elasticity of alpha-cristobalite - a silicon dioxide with a negative Poisson's ratio," Science, 257, pp. 650-652.
22. Keskar, N.R., Chelikowsky, J.R., 1992, "Structural-properties of 9 silica polymorphs," Physical Review B, 46, pp. 1-13.
23. 2: A molecular-dynamics study," Physical Review Letters, 84, pp. 5548-5551.
24. Alderson, A., Evans, K.E., 2002, "Molecular origin of auxetic behaviour in tetrahedral framework silicates," Physical Review Letters, 89, art. no. 225503.
25. Kimizuka, H., Kaburaki, H., Kogure, Y., 2003, "Molecular dynamics study of the high-temperature elasticity of quartz above the alpha-beta phase transition," Physical Review B, 67, art. no. 024105.
26. Grima, J.N., Jackson, R., Alderson, A., Evans, K.E., 2000, "Do zeolites have a negative Poisson's ratio?" Advanced Materials, 12, p. 1912.
27. Grima, J.N., 2000, "New auxetic Materials", Ph.D. thesis, University of Exeter, Exeter, UK.
28. Gibson, L.J., Ashby, M.F., Schajer, G.S., Robertson, C.I., 1982, "The mechanics of two-dimensional cellular materials," Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences, 382, pp. 25-42.
29. Almgren, R.F., 1985, "An isotropic 3-dimensional structure with Poisson ratio = - 1," Journal of Elasticity, 15, pp. 427-430.
30. Masters, I.G., Evans, K.E., 1996, "Models for the elastic deformation of honeycombs," Composite Structures, 35, pp. 403-422.
31. Wei, G.Y., 1992, "Negative and conventional Poisson's ratios of polymeric networks with special microstructures," Journal of Chemical Physics, 96, pp. 3226-3233.
32. Alderson, A., Rasburn, J., Ameer-Beg, S., Mullarkey, P.G., Ferrie, W., Evans, K.E., 2000, "An auxetic filter: A tuneable filter displaying enhanced size selectivity or defouling properties," Industrial & Engineering Chemistry Research. 39, pp. 654-655.
33. Wojciechowski, K.W., 1987, "Constant thermodynamic tension Monte-Carlo studies of elastic properties of a two-dimensional system of hard cyclic hexamers," Molecular Physics, 61, pp. 1247-1258.
34. Wojciechowski, K.W., Branka, A.C., 1989, "Negative Poisson ratio in a two-dimensional isotropic solid," Physical Review A, 40, pp. 7222-7225.
35. Wojciechowski, K.W., 2003, "Non-chiral, molecular model of negative Poisson ratio in two dimensions," Journal of Physics A - Mathematical and General, 36, pp. 11765-11778.
36. Prall, D., Lakes, R.S., 1997, "Properties of a chiral honeycomb with a Poisson's ratio of-1: International Journal of Mechanical Sciences, 39, p. 305.
37. Sigmund, O., Torquato, S., Aksay, I. A., 1998, "On the design of 1-3 piezocomposites using topology optimization," Journal of Materials Research, 13, pp. 1038-1048.
38. Spadoni, A., Ruzzene, M., Scarpa, F., 2005, "Global and local linear buckling behaviour of a chiral cellular structure," Physical Status Solidi B - Basic Solid State Physics, 242, pp. 695-709.
39. Gibson, L.J., Ashby, M.F., 2001, Cellular solids, structure and properties - Second edition, Cambridge University Press, Cambridge, United Kingdom.
40. Scarpa, F, Tomlinson G., 2000, "Theoretical characteristics of the vibration of sandwich plates with in-plane negative Poisson's ratio values," Journal of Sound and Vibration, 230, 45-67.
41. Lakes, R.S., Elms, K, 1993, "Indentability of conventional and negative Poisson's ratio foams," Journal of Composite Materials, 27, 1193-1202.
42. Lakes, R.S., 1993, "Design considerations for negative Poisson's ratio materials," ASME Journal of Mechanical Design, 115, 696-700.
43. Gere J. M., Timoshenko S. P., 1991, Mechanics of Materials, 3rd Edition, Chapman & Hall, London, United Kingdom.