Auxetic interval determination and experimental validation for a three-dimensional periodic framework

Ciprian S. Borcea, Freek G.J. Broeren*, Just L. Herder, Ileana Streinu, Volkert van der Wijk

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

Auxetic behavior refers to lateral widening upon stretching or, in reverse, lateral shrinking upon compression. When an initially auxetic structure is actuated by compression or extension, it will not necessarily remain auxetic for larger deformations. In this paper, we investigate the auxetic range in the deformation of a periodic framework with one degree of freedom. We use geometric criteria to identify the interval where the deformation is auxetic and validate these theoretical findings with compression experiments on sample structures with (Formula presented.) unit cells.

Original languageEnglish
Pages (from-to)764-774
JournalMathematics and Mechanics of Solids
Volume27 (2022)
Issue number5
DOIs
Publication statusPublished - 2021

Keywords

  • Auxetic interval
  • compression test
  • periodic framework

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