Small-scale effect on the mechanical properties of metallic nanotubes

2012 ◽  
Vol 101 (9) ◽  
pp. 093109 ◽  
Author(s):  
Jin Zhang ◽  
Chengyuan Wang ◽  
Rajib Chowdhury ◽  
Sondipon Adhikari
Keyword(s):  
Mechanical Properties ◽  
Scale Effect ◽  
Small Scale ◽  
Small Scale Effect

scholarly journals Nonlocal Euler-Bernoulli Beam Theories with Material Nonlinearity and their Application to Single-Walled Carbon Nanotubes

2021 ◽  
Author(s):  
kun huang ◽  
Benning Qu ◽  
Wei Xu ◽  
Ji Yao
Keyword(s):  
Mechanical Properties ◽  
Carbon Nanotubes ◽  
Scale Effect ◽  
Single Walled Carbon Nanotubes ◽  
Material Nonlinearity ◽  
Small Scale ◽  
Softening Effect ◽  
Single Walled Carbon ◽  
Small Scale Effect ◽  
Walled Carbon Nanotubes

Abstract The small-scale effect and the material nonlinearity significantly impact the mechanical properties of nanobeams. However, the combined effects of two factors have not attracted the attention of researchers. In the present paper, under the displacement’s Euler-Bernoulli assumption, we proposed two new nonlocal models to describe the mechanical properties of slender nanobeams for two centroid locus conditions: the locus extensibility and the locus inextensibility. Two new theories consider both the material nonlinearity and the small-scale effect induced by the non-local effect. The new models are used to analyze the static bending and the forced vibration for single-walled carbon nanotubes (SWCNTs). The results indicate that the stiffness’ softening effect induced by the material nonlinearity has more prominent impact than the nonlocal effect on SWCNT’s mechanical properties. Therefore, neglecting the material nonlinearity may cause qualitative mistakes.

scholarly journals Nonlocal Euler-Bernoulli Beam Theories With Material Nonlinearity and Their Application to Single-walled Carbon Nanotubes

2021 ◽  
Author(s):  
Kun Huang ◽  
Benning Qu ◽  
Wei Xu ◽  
Ji Yao
Keyword(s):  
Mechanical Properties ◽  
Carbon Nanotubes ◽  
Scale Effect ◽  
Single Walled Carbon Nanotubes ◽  
Material Nonlinearity ◽  
Nonlocal Effect ◽  
Small Scale ◽  
Single Walled Carbon ◽  
Small Scale Effect ◽  
Walled Carbon Nanotubes

Abstract The small-scale effect and the material nonlinearity significantly impact the mechanical properties of nanobeams. However, the combined effects of two factors have not attracted the attention of researchers. In the present paper, we proposed two new nonlocal theories to model mechanical properties of slender nanobeams for centroid locus stretching or inextensional effect respectively. Two new theories consider both the material nonlinearity and the small-scale effect induced by the nonlocal effect. The new models are used to analyze the static bending and the forced vibration for single-walled carbon nanotubes (SWCNTs). The results indicate that the stiffness softening effect induced by the material nonlinearity has more prominent impact than the nonlocal effect on SWCNT’s mechanical properties. Therefore, neglecting the material nonlinearity may cause qualitative mistakes.

Small Scale Effect on Boundary Conditions of Cantilever Single Carbon Nanotubes

2013 ◽  
Vol 275-277 ◽  
pp. 33-37
Author(s):  
Ming Li ◽  
Hui Ming Zheng ◽  
Luo Xia ◽  
Liu Yang
Keyword(s):  
Carbon Nanotubes ◽  
Boundary Condition ◽  
Boundary Conditions ◽  
Scale Effect ◽  
Nonlocal Elasticity ◽  
Small Scale ◽  
Euler Beam ◽  
Local Boundary ◽  
Local Boundary Condition ◽  
Small Scale Effect

In this paper, the boundary condition on free vibration of cantilever single-walled carbon nanotubes (SWCNTs) with Winkler elastic medium is investigated. The Euler beam theory with nonlocal elasticity is modeled as SWCNT. The analytical solution is derived and the numerical results show that the additional boundary conditions from small scale do not change natural frequencies. The reason is that the additional work made by the moment and shear force at the free end from small scale effect cancel each other, the boundary conditions due to local elasticity and nonlocal elasticity are also equivalent. Thus for simplicity, one can apply the local boundary condition to replace the small scale boundary condition.

Sign in / Sign up

Export Citation Format

Share Document