Premium
Tailoring Poisson's ratio by introducing auxetic layers
Author(s) -
Bilski Mikołaj,
Wojciechowski Krzysztof W.
Publication year - 2016
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201600140
Subject(s) - auxetics , isotropy , materials science , isothermal process , monte carlo method , poisson distribution , condensed matter physics , poisson's ratio , random hexamer , layer (electronics) , symmetry (geometry) , physics , crystallography , thermodynamics , geometry , nanotechnology , composite material , chemistry , mathematics , optics , statistics
Abstract Monte Carlo simulations in the isobaric–isothermal ensemble with variable shape of the periodic box are used to study elastic properties of two‐dimensional (2D) model systems of hard discs with parallel layers of hard cyclic hexamers. Both the particles in their pure phases form elastically isotropic crystals. However, the crystal of discs shows positive and that of hexamers – negative Poisson's ratio (PR). The studied systems with layers are of low symmetry. Hence, a general analytic formula for the orientational dependence of PR in 2D systems is applied to such systems. It is shown that, by changing parameters of the particles and their relative concentration, as well as orientation of the layers, one can obtain systems which are non‐auxetic (their PR is positive), auxetic (their PR is negative), or partially auxetic ones (their PR is negative for some directions and positive for other ones). If the disks and hexamers are interpreted as small molecules, the obtained results indicate that by introducing auxetic nano‐layers one can strongly modify PR of crystals or even thin layers. The periodic box with N = 224 particles can be thought of as a model of a thin layer or as a model crystalline structure with parallel horizontal layers built of four hard cyclic hexamer rows in the hard disc system.