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Auxetic Properties of a f.c.c. Crystal of Hard Spheres with an Array of [001]‐Nanochannels Filled by Hard Spheres of Another Diameter
Author(s) -
Narojczyk Jakub W.,
Wojciechowski Krzysztof W.,
Tretiakov Konstantin V.,
Smardzewski Jerzy,
Scarpa Fabrizio,
Piglowski Pawel M.,
Kowalik Mikolaj,
Imre Attila R.,
Bilski Mikolaj
Publication year - 2019
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.201800611
Subject(s) - spheres , tetragonal crystal system , auxetics , poisson's ratio , hard spheres , crystal (programming language) , materials science , poisson distribution , circular symmetry , condensed matter physics , matrix (chemical analysis) , particle (ecology) , geometry , physics , crystal structure , crystallography , classical mechanics , composite material , chemistry , mathematics , quantum mechanics , astronomy , statistics , oceanography , computer science , programming language , geology
Preliminary results on the influence of periodically distributed cylindrical nanoinclusions introduced into the f.c.c. hard sphere crystal on its elastic properties and the Poisson's ratio are presented. The nanoinclusions are oriented along the [001]‐direction and filled with hard spheres of diameter different from the spheres forming the matrix crystal. The Monte Carlo simulations show that symmetry of the crystal changes from the cubic to tetragonal one. In the case when spheres inside the inclusion are smaller than spheres forming the crystal, the changes of Poisson's ratio are qualitatively similar to the changes observed earlier in the Yukawa sphere crystal, that is, the introduction of nanochannels causes simultaneous decrease of the Poisson's ratio in the [110][11 ¯0]‐direction, and its increase in [110][001]‐direction. Filling the nanochannel with spheres having diameters greater than that of the spheres in the crystalline matrix, causes a decrease of the Poisson's ratio value from 0.065 down to −0.365 in [111][112 ¯ ]‐direction. The dependence of the minimal Poisson's ratio on the direction of the applied load is shown in a form of surfaces in spherical coordinates, for selected values of nanochannel particle diameters. The most negative value of the Poisson's ratio found amongst all systems studied was as low as −0.873.