Young's Modulus and Poisson's Ratio for Seven-Constant Tetragonal Crystals and Nano/Microtubes

被引：23
|
作者：
Goldstein, R. V. [1 ]
Gorodtsov, V. A. [1 ]
Lisovenko, D. S. [1 ]
机构：
[1] Russian Acad Sci, A Ishlinsky Inst Problems Mech, Moscow 119526, Russia
来源：
PHYSICAL MESOMECHANICS | 2015年 / 18卷 / 03期
基金：
俄罗斯科学基金会;
关键词：
seven-constant tetragonal crystals; rectilinear anisotropy; cylindrical anisotropy; Young's modulus; Poisson's ratio; compliance coefficients; axial tension; nano/microtubes; chirality; negative Poisson's ratio; auxetics; NANOTUBES;
D O I：
10.1134/S1029959915030054
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In the paper, the elasticity theory was applied to consider the mechanical properties of rectilinearly anisotropic seven-constant tetragonal crystals and their cylindrically anisotropic nano/microtubes with and with no chiral angle, being the angle between the crystallographic symmetry axis and elongated tube axis. Pt is found that the number of crystals with negative Poisson's ratio is the least for rectilinear anisotropy and is much larger for curvilinear anisotropy. With a nonzero chiral angle, all nano/microtubes can have negative Poisson's ratio. The elastic problem on axial tension of cylindrical nano/microtubes is solved for radially inhomogeneous stresses: three normal stresses and one shear stress.
引用
收藏
页码：213 / 222
页数：10
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