Complexity in phase transforming pin-jointed auxetic lattices

G. W. Hunt, T. J. Dodwell

Research output: Contribution to journalArticle

Abstract

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.

LanguageEnglish
Article number20180720
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume475
Issue number2224
DOIs
StatusPublished - 1 Apr 2019

Keywords

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

ASJC Scopus subject areas

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

Cite this

Complexity in phase transforming pin-jointed auxetic lattices. / Hunt, G. W.; Dodwell, T. J.

In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 475, No. 2224, 20180720, 01.04.2019.

Research output: Contribution to journalArticle

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