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Reversible dilatancy in entangled single-wire materials

Nature Materials volume 15, pages 72–77 (2016)Cite this article

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Abstract

Designing structures that dilate rapidly in both tension and compression would benefit devices such as smart filters, actuators or fasteners. This property however requires an unusual Poisson ratio, or Poisson function at finite strains, which has to vary with applied strain and exceed the familiar bounds: less than 0 in tension and above 1/2 in compression. Here, by combining mechanical tests and discrete element simulations, we show that a simple three-dimensional architected material, made of a self-entangled single long coiled wire, behaves in between discrete and continuum media, with a large and reversible dilatancy in both tension and compression. This unusual behaviour arises from an interplay between the elongation of the coiled wire and rearrangements due to steric effects, which, unlike in traditional discrete media, are hysteretically reversible when the architecture is made of an elastic fibre.

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Figure 1: Experimental mechanical curves.
Figure 2: Numerical mechanical curves on a cylindrical sample.
Figure 3: Numerical mechanical curves on a periodic sample.
Figure 4: Phenomenological 8-chain model.

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Acknowledgements

This work was performed within the French National Research Agency (ANR) programmes ‘Architectured NiTi materials’ (ANIM, N.2010 BLAN 90201) with the support of LABEX Tec21 (ANR-11-LABX-0030) of Université Grenoble Alpes and LABEX iMUST (ANR-10-LABX-0064) of Université de Lyon (programme ‘Investissements d’Avenir’, ANR-11-IDEX-0007). D.R. acknowledges support from the Institut Universitaire de France and the Institute of Molecular Engineering of the University of Chicago. D.R. thanks J. de Pablo and H. Jaeger for fruitful discussions.

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Authors and Affiliations

  1. Institut Lumière Matière, Université Lyon 1-CNRS, F-69622 Villeurbanne, France

    David Rodney

  2. Université Grenoble Alpes-CNRS, SIMAP, F-38000 Grenoble, France

    David Rodney & Benjamin Gadot

  3. Université Grenoble Alpes-CNRS, 3SR Lab, F-38000 Grenoble, France

    Benjamin Gadot, Oriol Riu Martinez, Sabine Rolland du Roscoat & Laurent Orgéas

Authors
  1. David Rodney
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  4. Sabine Rolland du Roscoat
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  5. Laurent Orgéas
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Contributions

L.O. and D.R. conceived the study; B.G., O.R.M., S.R.d.R. and L.O. performed the experiments; D.R. developed the numerical code; B.G. and D.R. performed the simulations; all of the authors analysed the results; D.R. and L.O. wrote the manuscript.

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Correspondence to David Rodney.

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The authors declare no competing financial interests.

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Rodney, D., Gadot, B., Martinez, O. et al. Reversible dilatancy in entangled single-wire materials. Nature Mater 15, 72–77 (2016). https://doi.org/10.1038/nmat4429

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