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Auxetic materials — A review

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Materials Science-Poland

Abstract

Auxetic materials are endowed with a behavior that contradicts common sense, when subjected to an axial tensile load they increase their transverse dimension. In case of a compression load, they reduce their transverse dimension. Consequently, these materials have a negative Poisson’s ratio in such direction. This paper reviews research related to these materials. It presents the theories that explain their deformation behavior and reveals the important role represented by the internal structure. Their mechanical properties are explored and some potential applications for these materials are shown.

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References

  1. Roh J.H., Giller C.B., Mott P.H., Roland C.M., AIP Advances, 3 (2013), 042126.

    Article  Google Scholar 

  2. Greaves G.N., Greer A.L., Lakes R.S., Rouxel T., Nat. Mater., 10 (2011), 823.

    Article  Google Scholar 

  3. Strek T., Maruszewski B., Narojczyk J.W., Wojciechowski K.W., J. Non-Cryst. Solids, 354 (2008), 4475.

    Article  Google Scholar 

  4. Wojciechowski K.W., Novikov V.V., Task Quarterly, 5 (2001), 5.

    Google Scholar 

  5. Gercek H., Int. J. Rock Mech. Min., 44 (2007), 1.

    Article  Google Scholar 

  6. Glieck J., The New York Times, 14th April 1987.

    Google Scholar 

  7. Milton G.W., J. Mech. Phys. Solids, 40 (1992), 1105.

    Article  Google Scholar 

  8. Evans K.E., Nkansah M.A., Hutchinson I.J., Rogers S.C., Nature, 353 (1991), 124.

    Article  Google Scholar 

  9. Prawoto Y., Comp. Mater. Sci., 58 (2012), 140.

    Article  Google Scholar 

  10. Wojciechowski, K.W., J. Phys. Soc. Jpn., 72 (2003), 1819.

    Article  Google Scholar 

  11. Kocer C., Mckenzie D.R., Bilek M.M., Mater. Sci. Eng. A — Struct., 505 (2009), 111.

    Article  Google Scholar 

  12. Mott P.H., Roland C.M., Phys. Scripta, 87 (2013), 055404.

    Article  Google Scholar 

  13. Lakes R.S., Lee T., Bersie A., Wang Y.C., Nature, 410 (2001), 565.

    Article  Google Scholar 

  14. Tokmakova S.P., Phys. Stat. Sol. B, 242 (2005), 721.

    Article  Google Scholar 

  15. Narojczyk J.W., Wojciechowski K.W., Phys. Stat. Sol. B, 245 (2008), 606.

    Article  Google Scholar 

  16. Branka A.C., Heyes D.M., Mackowiak Sz., Pieprzyk S., Wojciechowski K.W., Phys. Stat. Sol. B, 249 (2012), 1373.

    Article  Google Scholar 

  17. Kimikuza H., Ogata S., Shibutani Y., Mat. T. JIM, 46 (2005), 1161.

    Article  Google Scholar 

  18. Narojczyk J.W., Wojciechowski K.W., J. Non-Cryst. Solids, 356 (2010), 2026.

    Article  Google Scholar 

  19. Branka A.C., Heyes D.M., Mackowiak Sz., Pieprzyk S., Wojciechowski K.W., Phys. Stat. Sol. B, 248 (2011), 96.

    Article  Google Scholar 

  20. Baughman R.H., Shacklette J.M., Zakhidov A.A., Stafström S., Nature, 392 (1998), 362.

    Article  Google Scholar 

  21. Ting T.C.T., Chen T.Y., Q. J. Mech. Appl. Math., 58 (2005), 73.

    Article  Google Scholar 

  22. Norris A.N., J. Mech. Mater. Struct., 1 (2006), 793.

    Article  Google Scholar 

  23. Attard D., Grima J.N., Phys. Stat. Sol. B, 245 (2008), 2395.

    Article  Google Scholar 

  24. Evans K.E., Membr Tech., 137 (2001), 9.

    Article  Google Scholar 

  25. Voigt W., Annalen der Physik, 16 (1882), 273.

    Article  Google Scholar 

  26. Love A.E.H., A Treatise on the Mathematical Theory of Elasticity, Dover Publications, United States of America, 1944

    Google Scholar 

  27. Kimizuka H., Kaburaki H., Kogure Y., Phys. Rev. Lett., 84 (2000), 5548.

    Article  Google Scholar 

  28. Grima J.N., Evans K.E., J. Mater. Sci., 41 (2006), 3193.

    Article  Google Scholar 

  29. Grima J.N., Gatt R., Alderson A., Evans K.E., J. Mater. Chem., 15 (2005), 4003.

    Article  Google Scholar 

  30. Veronda D.R., Westmann R.A., J. Biomech., 3 (1970), 111.

    Article  Google Scholar 

  31. Lees C., Vincent J.F.V., Hillerton J.E., Bio-Med. Mater. Eng., 1 (1991), 19.

    Google Scholar 

  32. Williams J.L., Lewis J.L., J. Biomech. Eng., 104 (1982), 50.

    Article  Google Scholar 

  33. Pikhitsa P.V., Phys. Rev. Lett., 93 (2004), 015505.

    Article  Google Scholar 

  34. Pasternak E., Diskin A.V., Int. J. Eng. Sci., 52 (2012), 103.

    Article  Google Scholar 

  35. Lakes R.S., Science, 235 (1987), 1038.

    Article  Google Scholar 

  36. Grima J.N., Auxetic Metamaterials, Strasbourg, France, 2010

    Google Scholar 

  37. Gaspar N., Smith C.W., Alderson A., Grima J.N., J. Mater. Sci., 46 (2011), 372.

    Article  Google Scholar 

  38. Mishnaevski JR. L., Rev Adv Mater Sci., 30 (2012), 60.

    Google Scholar 

  39. Coluci V.R., Hall L.J., Kozlov M.E., Zhang M., Dantas S.O., Galvă O D.S., Baughman R.H., Phys. Rev. B., 78 (2008), 115408.

    Article  Google Scholar 

  40. Almgren R.F., J. Elasticity, 15 (1985), 427.

    Article  Google Scholar 

  41. Gibson L.J., J. Biomech., 38 (2005), 377.

    Article  Google Scholar 

  42. Grima J.N., Alderson A., Evans K.E., Comp. Meth Sci. Tech., 10 (2004), 137.

    Google Scholar 

  43. Wojciechowski K.W., Mol. Phys., 61 (1987), 1247.

    Article  Google Scholar 

  44. Wojciechowski K.W., Branka A.C., Phys. Rev. A, 40 (1989), 7222.

    Article  Google Scholar 

  45. Wojciechowski K.W., Phys. Lett. A, 137 (1989), 60.

    Article  Google Scholar 

  46. Gaspar N., Ren X.Z., Smith C.W., Grima J.N., Evans K.E., Acta Mater., 53 (2005), 2439.

    Article  Google Scholar 

  47. Wojciechowski K.W., J. Phys. A — Math. Gen., 36 (2003), 11765.

    Article  Google Scholar 

  48. Friis E.A., Lakes R.S., Park J.B., J. Mater. Sci., 23 (1988), 4406.

    Article  Google Scholar 

  49. Y. Liu, H. Hu., Sci. Res. Essays., 5 (2010), 1052.

    Google Scholar 

  50. Attard D., Grima J.N., Phys. Stat. Sol. B., 248 (2011), 52.

    Article  Google Scholar 

  51. Grima J.N., Gatt R., Ellul B., Chetcuti E., J. Non-Cryst. Solids, 356 (2010), 1980.

    Article  Google Scholar 

  52. Dmitriev S.V., Ferroelectrics, 349 (2007), 33.

    Article  Google Scholar 

  53. Attard D., Manicaro E., Gatt R., Grima J.N., Phys. Stat. Sol. B, 246 (2009), 2045.

    Article  Google Scholar 

  54. Attard D., Grima J.N., Phys. Stat. Sol. B, 249 (2012), 1330.

    Article  Google Scholar 

  55. Abramovitch H., Burgard M., Azulay L.E., Evans K.E., Hoffmeister M., Miller W., Scarpa F., Smith C.W., Tee K.F., Schönecker A., Seffner L., Proceedings of SPIE., 6935 (2008), 693506.

    Article  Google Scholar 

  56. Prall D., Lakes R.S., Int. J. Mech. Sci., 39 (1997), 305.

    Article  Google Scholar 

  57. F. Scarpa, Blain S., Lew T., Perrot D., Ruzzene M., Yates J.R., Compos Part A — Appl. S., 38 (2007), 280.

    Article  Google Scholar 

  58. Spadoni A., Ruzzene M., J. Mech. Phys. Solids, 60 (2012), 156.

    Article  Google Scholar 

  59. Hall L.J., Coluci V.R., Galvăo D.S., Kozlov M.E., Zhang M., Dantas S.O., Baughman R.H., Science, 320 (2008), 504.

    Article  Google Scholar 

  60. Harkati E.H., Bezazi A., Scarpa F., Alderson K., Alderson A., Phys. Stat. Sol. B, 244 (2007), 883.

    Article  Google Scholar 

  61. Evans K.E., Alderson A., Adv. Mater., 12 (2000), 617.

    Article  Google Scholar 

  62. Argatov I.I., Díaz R.G., Sabina F.J., Int. J. Eng. Sci., 54 (2012), 42.

    Article  Google Scholar 

  63. Coenen V.L., Alderson K.L., Phys. Stat. Sol. B, 248 (2011), 66.

    Article  Google Scholar 

  64. Alderson A., Chem Ind., 10 (1999), 384.

    Google Scholar 

  65. Liu Q., Literature Review: Materials with Negative Poisson’s Ratios and Potential Applications to Aerospace and Defense, Defense Science and Technology Organization, Victoria, Australia, 2006

    Google Scholar 

  66. Critchley R., Corni I., Wharton J.A., Walsh F.C., Wood R.J.K., Stokes K.R., Phys. Stat. Sol. B, (2013), 1.

    Google Scholar 

  67. Tetriakov K.V., Wojciechowski K.W., J. Chem. Phys., 136 (2012), 204506.

    Article  Google Scholar 

  68. Narojczyk J.W., Alderson A., Imre A.R., Scrapa F., Wojciechowski K.W., J. Non-Cryst. Solids, 354 (2008), 4242.

    Article  Google Scholar 

  69. Yang W., Li Z.L., Shi W., Xie B., Yang M., J. Mater. Sci., 39 (2004), 3269.

    Article  Google Scholar 

  70. Beer F.P., Johnston E.R., Mechanics of Materials, 3rd ed., MAKRON Books, Săo Paulo, Brazil, 1967

    Google Scholar 

  71. Xinchun S., Lakes R.S., Phys. Stat. Sol. B, 244 (2007), 1008.

    Article  Google Scholar 

  72. Wang Y.C., Lakes R.S., J. Compos. Mater, 39 (2005), 1645.

    Article  Google Scholar 

  73. Choi J.B., Lakes R.S., Int. J. Fracture, 80 (1996), 73.

    Article  Google Scholar 

  74. Bezazi A., Boukharouba W., Scarpa F., Phys. Stat. Sol. B, 246 (2009), 2102.

    Article  Google Scholar 

  75. Choi J.B., Lakes R.S., J. Mater. Sci., 27 (1992), 5373–5381

    Google Scholar 

  76. Donoghue J.P., Alderson K.L., Evans K.E., Phys. Stat. Sol. B, 246 (2009), 2011.

    Article  Google Scholar 

  77. Miati S., Ashby M.F., Gibson L.J., Scripta Metall, 18 (1987), 213.

    Article  Google Scholar 

  78. Haberman M.R., Hook D.T., Timothy D., J. Acoust. Soc. Am., 132 (2012), 1961.

    Article  Google Scholar 

  79. Howell B., Prendergast P., Hansen L., Acoustic Behavior of Negative Poisson’s Ratio Materials, Ship Materials Engineering Department — United States Navy, Arlington, United States of America, 1991.

    Google Scholar 

  80. Chekkal I., Bianchi M., Remillat M., BÉCOT F., Jaouen L., Scarpa F., Acta Acust., 96 (2010), 266.

    Article  Google Scholar 

  81. Alderson K.L., Webber R.S., Mohammed U.F., Murphy E., Evans K.E., Appl. Acoust., 50 (1997), 23.

    Article  Google Scholar 

  82. Ruzzene M., Scarpa F., Phys. Stat. Sol. B, 242 (2005), 665.

    Article  Google Scholar 

  83. Grima J.N., Modelling Auxetic Materials, Gdansk, Poland, 2009

    Google Scholar 

  84. Chen Y.J., Scarpa F., Farrow I.R., Liu Y.J., Leng J.S., Smart Mater. Struct., 22 (2013), 045005.

    Article  Google Scholar 

  85. Alderson A., Alderson K.L., Chirima G., Ravirala N., Zied K.M., Compos. Sci. Technol., 70 (2010), 1034.

    Article  Google Scholar 

  86. Lakes R.S., Witt R., Int. J. Mech. Eng. Edu., 30 (2002), 50.

    Article  Google Scholar 

  87. Lorato A., Innocenti P., Scarpa F., Alderson A., Alderson K.L., Zied K.M., Ravirala N., Miller W., Smith S.W., Evans K.E., Compos. Sci. Technol., 70 (2010), 1057.

    Article  Google Scholar 

  88. Hassan M.R., Scarpa F., Mohamed N.A, Ruzzene M., Phys. Stat. Sol. B, 245 (2008), 2440.

    Article  Google Scholar 

  89. Jacobs S., Coconnier C., Dimaio D., Scarpa F., Toso M., Martinez J., Smart Mater. Struct., 21 (2012), 075013.

    Article  Google Scholar 

  90. Bianchi M., Scarpa F., Smith C.W., Acta Mater., 58 (2010), 858.

    Article  Google Scholar 

  91. Bianchi M., Scarpa F., Smith C.W., Whittel G.R., J. Mater. Sci., 45 (2010), 341.

    Article  Google Scholar 

  92. Alderson A., Alderson K.L., Mcdonald S.A., Mottershead B., Nazare S., Withers P.J., Yao Y.T., Macromol. Mater. Eng., 298 (2013), 318.

    Article  Google Scholar 

  93. Bianchi M., Frontoni S., Scarpa F., Smith C.W., Phys. Stat. Sol. B, 248 (2011), 30.

    Article  Google Scholar 

  94. Uzun M., Patel I., Arch, Mater. Sci. Eng., 44 (2010), 120.

    Google Scholar 

  95. Kopyt P., Damian R., Celuch M., Ciobanu R., Compos. Sci. Technol., 70 (2010), 1080.

    Article  Google Scholar 

  96. Bertoldi K., Reis P.M., Willshaw S., Mullin T., Adv. Mater., 22 (2010), 361.

    Article  Google Scholar 

  97. Xu B., Arias F., Brittain S.T., Zhao X.-M., Grzybowski B., Torquato S., Whitesides M., Adv Mater., 11 (1999), 1186.

    Article  Google Scholar 

  98. Alderson A., Rasburn J., Evans K.E., Grima J.N., Membr. Tech., 137 (2001), 6.

    Article  Google Scholar 

  99. Evans K.E., Alderson A., Adv Mater., 12 (2000), 617.

    Article  Google Scholar 

  100. Choi J.B., Lakes R.S., Cell Polym., 10 (1991), 205.

    Google Scholar 

  101. Alderson K.L., Alderson A., Anand S., Simkins V., Nazare S., Ravirala N., Phys. Stat. Sol. B, 249 (2012), 1322.

    Article  Google Scholar 

  102. Alderson A., Alderson K.L., Tech. Textiles Int., 77 (2005), 29.

    Google Scholar 

  103. Simkins V.R., Alderson A., Davies P.J., Alderson K.L., J. Mater. Sci., 40 (2005), 4355.

    Article  Google Scholar 

  104. Liu Y., Text. Res. J., (2009), 1.

    Google Scholar 

  105. Yao Y.T., Alderson A., Alderson K.L., Phys. Stat. Sol. B, 245 (2008), 2373.

    Article  Google Scholar 

  106. Scarpa F., Narojczyk J.W., Wojciechowski K.W., Phys. Stat. Sol. B, 248 (2011), 82.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanics Engineering, University of Minho, Campus de Azurém, Guimarăes, Portugal

    V. H. Carneiro, J. Meireles & H. Puga

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  1. V. H. Carneiro
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  2. J. Meireles
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  3. H. Puga
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Correspondence to V. H. Carneiro.

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Carneiro, V.H., Meireles, J. & Puga, H. Auxetic materials — A review. Mater Sci-Pol 31, 561–571 (2013). https://doi.org/10.2478/s13536-013-0140-6

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