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Issue 31, 2018
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Equally probable positive and negative Poisson's ratios in disordered planar systems

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Abstract

Auxetic materials, characterised by a negative Poisson's ratio, have properties that are different from most conventional materials. These are a result of the constraints on the kinematics of the material's basic structural components, and have important technological implications. Models of these materials have been studied extensively, but theoretical descriptions have remained largely limited to materials with an ordered microstructure. Here we investigate whether negative Poisson's ratios can arise spontaneously in disordered systems. To this end, we develop a quantitative description of the structure in systems of connected basic elements, which enables us to analyse the local and global responses to small external tensile forces. We find that the Poisson's ratios in these disordered systems are equally likely to be positive or negative on both the element and system scales. Separating the strain into translational, rotational and expansive components, we find that the translational strains of neighbouring basic structural elements are positively correlated, while their rotations are negatively correlated. There is no correlation in this type of system between the local auxeticity and local structural characteristics. Our results suggest that auxeticity is more common in disordered structures than the ubiquity of positive Poisson's ratios in macroscopic materials would suggest.

Graphical abstract: Equally probable positive and negative Poisson's ratios in disordered planar systems

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Publication details

The article was received on 07 Apr 2018, accepted on 25 Jun 2018 and first published on 27 Jul 2018


Article type: Paper
DOI: 10.1039/C8SM00717A
Citation: Soft Matter, 2018,14, 6554-6560
  • Open access: Creative Commons BY license
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    Equally probable positive and negative Poisson's ratios in disordered planar systems

    C. M. Verstreken, K. J. Chalut and R. Blumenfeld, Soft Matter, 2018, 14, 6554
    DOI: 10.1039/C8SM00717A

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