Journal of Materials Science

, Volume 44, Issue 16, pp 4491–4494 | Cite as

An hexagonal array of fourfold interconnected hexagonal nodules for modeling auxetic microporous polymers: a comparison of 2D and 3D models

  • Teik-Cheng LimEmail author
  • Rajendra Acharya U
Materials and structures that exhibit negative Poisson’s ratios are categorized under auxetic systems. Auxetic materials attract considerable attention due to their counter intuitive properties, and such materials have been examined at length by Lakes and co-authors [ 1, 2], Evans and co-authors [ 3, 4] and others (e.g., [ 5, 6, 7, 8, 9]). It was shown that a Poisson’s ratio as low as v = −12 was achievable for a polymeric microporous material that consists of nodules interconnected by fibrils [ 3, 4]. Using rectangular blocks with fibril connections, as shown in Fig.  1a, Alderson and Evans [ 10, 11] developed 2D models of Young’s moduli and Poisson’s ratios for varying geometrical parameters and fibril stiffness. The influence of processing parameters on the microstructures, and hence the mechanical properties, of these fibril-linked nodules were experimentally investigated by Alderson et al. [ 12, 13]. In spite of its rectangular shape selected for the nodules, they were arranged in...


Fibril Representative Volume Element Hexagonal Array Rectangular Model Hexagonal Model 


  1. 1.
    Lakes RS (1987) Science 235:1038CrossRefGoogle Scholar
  2. 2.
    Friis EA, Lakes RS, Park JB (1988) J Mater Sci 23:4406. doi: CrossRefGoogle Scholar
  3. 3.
    Caddock BD, Evans KE (1989) J Phys D Appl Phys 22:1877CrossRefGoogle Scholar
  4. 4.
    Evans KE, Caddock BD (1989) J Phys D Appl Phys 22:1883CrossRefGoogle Scholar
  5. 5.
    Yeganeh-Haeri A, Wiedner DJ, Parise JB (1992) Science 257:650CrossRefGoogle Scholar
  6. 6.
    Keskar NR, Chelikowsky JR (1992) Nature 358:222CrossRefGoogle Scholar
  7. 7.
    Gibson LJ, Ashby MF, Schajer GS, Robertson CI (1982) Proc R Soc Lond A 382:25CrossRefGoogle Scholar
  8. 8.
    Hirotsu S (1991) J Chem Phys 94:3949CrossRefGoogle Scholar
  9. 9.
    Herakovich CT (1991) J Compos Mater 18:447CrossRefGoogle Scholar
  10. 10.
    Alderson A, Evans KE (1995) J Mater Sci 30:3319. doi: CrossRefGoogle Scholar
  11. 11.
    Alderson A, Evans KE (1997) J Mater Sci 32:2797. doi: CrossRefGoogle Scholar
  12. 12.
    Alderson KL, Alderson A, Davies PJ, Smart G, Ravirala N, Simkins G (2007) J Mater Sci 42:7991. doi: CrossRefGoogle Scholar
  13. 13.
    Alderson KL, Weber RS, Evans KE (2007) Phys Status Solidi B 244:828CrossRefGoogle Scholar
  14. 14.
    Ravirala N, Alderson A, Alderson KL (2007) J Mater Sci 42:7433. doi: CrossRefGoogle Scholar
  15. 15.
    Masters IG, Evans KE (1996) Compos Struct 35:403CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.School of Science and TechnologySIM UniversitySingaporeSingapore
  2. 2.School of EngineeringNgee Ann PolytechnicSingaporeSingapore

Personalised recommendations