Vol. 16, No. 2, 2021

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Stretching of chiral tubes obtained by rolling-up plates of cubic crystals with various orientations

Mikhail A. Volkov, Valentin A. Gorodtsov, Egor P. Fadeev and Dmitry S. Lisovenko

Vol. 16 (2021), No. 2, 139–157
Abstract

Theoretical and numerical analyses of engineering elastic characteristics (Young’s modulus and Poisson’s ratios) of cylindrically anisotropic tubes formed by rolling-up plates of cubic crystallographic structures (110) and (111) are given. Present results are compared with the results for tubes with crystal structural orientation (001), studied previously. It is found that tubes with (110) crystal structure exhibit auxetic properties (negative Poisson’s ratio) more often. Poisson’s ratios averaged over the cross-section of some tubes have negative values.

Keywords
Poisson's ratio, auxetics, nanotubes, cubic crystals, cylindrical anisotropy
Milestones
Received: 4 August 2020
Revised: 3 November 2020
Accepted: 26 November 2020
Published: 6 June 2021
Authors
Mikhail A. Volkov
Ishlinsky Institute for Problems in Mechanics
Russian Academy of Sciences
Moscow
Russia
Valentin A. Gorodtsov
Ishlinsky Institute for Problems in Mechanics
Russian Academy of Sciences
Moscow
Russia
Egor P. Fadeev
Ishlinsky Institute for Problems in Mechanics
Russian Academy of Sciences
Moscow
Russia
Faculty of Physics
M. V. Lomonosov Moscow State University
Moscow
Russia
Dmitry S. Lisovenko
Ishlinsky Institute for Problems in Mechanics
Russian Academy of Sciences
Moscow
Russia