Negative Poisson's ratio for six-constant tetragonal nano/microtubes

Analytical and numerical features of the elastic properties of curvilinearly anisotropic six‐constant tetragonal nano/microtubes are considered. The analytical formulas for Young's modulus and Poisson's ratio are obtained in the case of axial extension. Numerical calculations are performed...

Full description

Saved in:
Bibliographic Details
Published inPhysica Status Solidi. B: Basic Solid State Physics Vol. 252; no. 7; pp. 1580 - 1586
Main Authors Goldstein, Robert V., Gorodtsov, Valentin A., Lisovenko, Dmitry S., Volkov, Mikhail A.
Format Journal Article
LanguageEnglish
Published Blackwell Publishing Ltd 01.07.2015
Subjects
auxetic
chirality
Elastic constants
Mathematical analysis
Mathematical models
microtubes
Modulus of elasticity
Nanostructure
nanotubes
Poisson's ratio
Poissons ratio
Solid state physics
Tubes
Online AccessGet full text

Cover

More Information
Summary:Analytical and numerical features of the elastic properties of curvilinearly anisotropic six‐constant tetragonal nano/microtubes are considered. The analytical formulas for Young's modulus and Poisson's ratio are obtained in the case of axial extension. Numerical calculations are performed using these formulas and data on the elastic constants from the Landolt–Börnstein Handbook. The parametric dependences of Young's modulus and Poisson's ratios for nano/microtubes are analyzed in detail. The basic parameters are elastic compliances, chiral angles, and ratios of the radii of hollow cylindrical tubes.
Bibliography:Grant by the Russian Foundation for Basic Research N 14-01-31245 mol_a
ark:/67375/WNG-1LHQNZD1-V
Program for Supporting Leading Scientific Schools of Russia NSh-1275.2014.1
Machinery, Mechanics and Control Processes of the Russian Academy of Sciences
ArticleID:PSSB201451649
istex:08E677A553BDD53DF43EFF2821C140F3D2E88BC6
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0370-1972
1521-3951
DOI:10.1002/pssb.201451649