scholarly journals Transverse wave propagation in viscoelastic single-walled carbon nanotubes with surface effect based on nonlocal second-order strain gradient elasticity theory

2020 ◽  
Author(s):  
Huili Guo ◽  
Fulin Shang ◽  
Tianhu He
Keyword(s):  
Carbon Nanotubes ◽  
Wave Propagation ◽  
Transverse Wave ◽  
Strain Gradient ◽  
Surface Effect ◽  
Gradient Elasticity ◽  
Single Walled Carbon Nanotubes ◽  
Strain Gradient Elasticity ◽  
Gradient Elasticity Theory ◽  
Walled Carbon Nanotubes

INVESTIGATION OF SIZE EFFECTS ON STATIC RESPONSE OF SINGLE-WALLED CARBON NANOTUBES BASED ON STRAIN GRADIENT ELASTICITY

2012 ◽  
Vol 09 (02) ◽  
pp. 1240032 ◽  
Author(s):  
B. AKGÖZ ◽  
Ö. CİVALEK
Keyword(s):  
Carbon Nanotubes ◽  
Strain Gradient ◽  
Couple Stress ◽  
Gradient Elasticity ◽  
Single Walled Carbon Nanotubes ◽  
Stress And Strain ◽  
Strain Gradient Elasticity ◽  
Single Walled Carbon ◽  
Modified Couple Stress ◽  
Walled Carbon Nanotubes

This paper is concerned with the bending analysis of single-walled carbon nanotubes (CNT) based on modified couple stress and strain gradient elasticity theories and Euler–Bernoulli beam theory. The size effect is taken into consideration using the modified couple stress and strain gradient elasticity theories. The governing equations and boundary conditions are derived using the variational approach. Deflections of CNT are obtained and presented in graphical form. Results are presented to show the effect of small-scale effect on bending of CNT. It is the first time in the literature, analytical expression and their solutions for the bending analysis based on strain gradient elasticity and couple stress theories are given for CNT under uniformly distributed load and concentrated end load.

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