Complexity in phase transforming pin-jointed auxetic lattices

G. W. Hunt, T. J. Dodwell

Research output: Contribution to journalArticlepeer-review

10 Citations (SciVal)


We demonstrate the complexity that can exist in the modelling of auxetic lattices. By introducing pin-jointed members and large deformations to the analysis of a re-entrant structure, we create a material which has both auxetic and non-auxetic phases. Such lattices exhibit complex equilibrium behaviour during the highly nonlinear transition between these two states. The local response is seen to switch many times between stable and unstable states, exhibiting both positive and negative stiffnesses. However, there is shown to exist an underlying emergent modulus over the transitional phase, to describe the average axial stiffness of a system comprising a large number of cells.

Original languageEnglish
Article number20180720
Pages (from-to)1-15
Number of pages15
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2224
Publication statusPublished - 3 Apr 2019


  • Auxetic
  • Bifurcation
  • Complex system
  • Emergence
  • Phase transforming

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)


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