Regularly configured structures with polygonal prisms for three-dimensional auxetic behaviour

Junhyun Kim, Dongheok Shin, Do Sik Yoo, Kyoungsik Kim

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We report here structures, constructed with regular polygonal prisms, that exhibit negative Poisson's ratios. In particular, we show how we can construct such a structure with regular n-gonal prism-shaped unit cells that are again built with regular n-gonal component prisms. First, we show that the only three possible values for n are 3, 4 and 6 and then discuss how we construct the unit cell again with regular n-gonal component prisms. Then, we derive Poisson's ratio formula for each of the three structures and show, by analysis and numerical verification, that the structures possess negative Poisson's ratio under certain geometric conditions.

Original languageEnglish
Article number20160926
Pages (from-to)2030-2033
Number of pages4
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2202
Publication statusPublished - 2017

Bibliographical note

Funding Information:
This research was supported by Low Observable Technology Research Center program of the Defense Acquisition Program Administration and Agency for Defense Development. Acknowledgements

Publisher Copyright:
© 2017 The Author(s).

All Science Journal Classification (ASJC) codes

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


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