Journal
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES
Volume 16, Issue 2, Pages 139-157Publisher
MATHEMATICAL SCIENCE PUBL
DOI: 10.2140/jomms.2021.16.139
Keywords
Poisson's ratio; auxetics; nanotubes; cubic crystals; cylindrical anisotropy
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Funding
- Russian Science Foundation [18-79-10270]
- Russian Science Foundation [18-79-10270] Funding Source: Russian Science Foundation
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The study shows that tubes with (110) crystal structure are more likely to exhibit auxetic properties, with some tubes having negative values of Poisson's ratios on their cross-sections.
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.
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