Inferring Physical Parameters from Images of Vibrating Carbon Nanotubes

2000 ◽  
Vol 6 (4) ◽  
pp. 317-323 ◽  
Author(s):  
M.M.J. Treacy ◽  
A. Krishnan ◽  
P.N. Yianilos
Keyword(s):  
Carbon Nanotubes ◽  
Young’S Modulus ◽  
Shot Noise ◽  
Vibration Amplitude ◽  
Young's Modulus ◽  
Single Wall Carbon Nanotubes ◽  
Physical Parameters ◽  
Average Value ◽  
Length Width ◽  
Hidden Parameter

Abstract We describe a hidden parameter inferencing algorithm for deducing the length, width, and vibration profile from images of thermally excited single-wall carbon nanotubes. With accurate estimates of these parameters, the Young’s modulus can be deduced. The algorithm is sensitive to shot noise in the image, primarily because of the low nanotube image contrast. Noise causes the nanotube length and width to be overestimated, and the vibration amplitude to be underestimated. After correcting for shot noise, we infer an average value of the Young’s modulus of 〈Y〉= 1.20±0.20 TPa, which is larger than the currently accepted value for graphite.

Inferring Physical Parameters from Images of Vibrating Carbon Nanotubes

2000 ◽  
Vol 6 (4) ◽  
pp. 317-323 ◽  
Author(s):  
M.M.J. Treacy ◽  
A. Krishnan ◽  
P.N. Yianilos
Keyword(s):  
Carbon Nanotubes ◽  
Young’S Modulus ◽  
Shot Noise ◽  
Vibration Amplitude ◽  
Young's Modulus ◽  
Single Wall Carbon Nanotubes ◽  
Physical Parameters ◽  
Average Value ◽  
Length Width ◽  
Hidden Parameter

AbstractWe describe a hidden parameter inferencing algorithm for deducing the length, width, and vibration profile from images of thermally excited single-wall carbon nanotubes. With accurate estimates of these parameters, the Young’s modulus can be deduced. The algorithm is sensitive to shot noise in the image, primarily because of the low nanotube image contrast. Noise causes the nanotube length and width to be overestimated, and the vibration amplitude to be underestimated. After correcting for shot noise, we infer an average value of the Young’s modulus of 〈Y〉= 1.20±0.20 TPa, which is larger than the currently accepted value for graphite.

scholarly journals EFFECT OF HELICITY ON THE BUCKLING BEHAVIOR OF SINGLE-WALL CARBON NANOTUBES

2008 ◽  
Vol 22 (31n32) ◽  
pp. 5872-5877 ◽  
Author(s):  
JEEHYANG HUH ◽  
HOON HUH
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanotube ◽  
Young’S Modulus ◽  
Interatomic Potential ◽  
Young's Modulus ◽  
Compressive Force ◽  
Buckling Load ◽  
Single Wall Carbon Nanotubes ◽  
Single Wall Carbon ◽  
Buckling Behavior

Simulations of single-wall carbon nanotube(SWCNT)s having a different chiral vector under axial compression were carried out based on molecular dynamics to investigate the effect of the helicity on the buckling behavior. Calculation was performed at room temperature for (8,8) armchair, (14,0) zigzag and (6,10) chiral single-wall carbon nanotubes. The Tersoff potential was used as the interatomic potential since it describes the C - C bonds in carbon nanotubes reliably. A conjugate gradient (CG) method was used to obtain the equilibrium configuration. Compressive force was applied at the top of a nanotube by moving the top-most atoms downward with the constant velocity of 10m/s. The buckling load, the critical strain, and the Young's modulus were calculated from the result of MD simulation. A zigzag carbon nanotube has the largest Young's modulus and buckling load, while a chiral carbon nonotube has the lowest values.

scholarly journals STRUCTURE AND MECHANICAL PROPERTIES OF POLYMERIC COMPOSITES WITH CARBON NANOTUBES

2019 ◽  
Vol 3 ◽  
pp. 48 ◽  
Author(s):  
Konstantin Gusev ◽  
Vjaceslavs Gerbreders ◽  
Andrejs Ogurcovs ◽  
Vladimir Solovyev
Keyword(s):  
Mechanical Properties ◽  
Carbon Nanotubes ◽  
Tensile Strength ◽  
Young’S Modulus ◽  
Young's Modulus ◽  
Polymeric Composite ◽  
Polymeric Composites ◽  
Single Wall Carbon Nanotubes ◽  
Experimental Investigations ◽  
Intimate Contact

Experimental investigations of single-wall carbon nanotubes (CNT) effect on the mechanical properties of polymeric composite materials based on epoxy matrix have been carried out. It has been found that addition of CNT at low concentration dramatically increases tensile strength (20 – 30 per cent growth) and Young’s modulus of the samples under study. Structure of polymeric composites with CNT was characterized by atomic force microscopy (AFM) and scanning electron microscopy (SEM). AFM images of the samples under study confirm strong interaction between polymeric matrix and nano-additives, demonstrating intimate contact between CNT and epoxy surroundings which is of great importance for composite material reinforcement. Dependences of tensile strength and those of Young’s modulus on CNT concentration are discussed using micromechanics models for nanocomposites.

scholarly journals Effects of CNT Addition on Mechanical Properties, Electric Conductivity and Oxidation Resistance of Al2O3-TiC Composite

2013 ◽  
Vol 761 ◽  
pp. 83-86
Author(s):  
Hideaki Sano ◽  
Junichi Morisaki ◽  
Guo Bin Zheng ◽  
Yasuo Uchiyama
Keyword(s):  
Mechanical Properties ◽  
Carbon Nanotubes ◽  
Fracture Toughness ◽  
Flexural Strength ◽  
Electric Conductivity ◽  
Young’S Modulus ◽  
Oxidation Resistance ◽  
Young's Modulus ◽  
Tic Particle

Effects of carbon nanotubes (CNT) addition on mechanical properties, electric conductivity and oxidation resistance of CNT/Al2O3-TiC composite were investigated. It was found that flexural strength, Young’s modulus and fracture toughness of the composites were improved by addition of more than 2 vol%-CNT. In the composites with more than 3 vol%-CNT, the oxidation resistance of the composite was degraded. In comparison with Al2O3-26vol%TiC sample as TiC particle-percolated sample, the Al2O3-12vol%TiC-3vol%CNT sample, which is not TiC particle-percolated sample, shows almost the same mechanical properties and electric conductivity, and also shows thinner oxidized region after oxidation at 1200°C due to less TiC in the composite.

scholarly journals Modified rule of mixtures and Halpin–Tsai model for prediction of tensile strength of micron-sized reinforced composites and Young’s modulus of multiscale reinforced composites for direct extrusion fabrication

2018 ◽  
Vol 10 (7) ◽  
pp. 168781401878528 ◽  
Author(s):  
Zirong Luo ◽  
Xin Li ◽  
Jianzhong Shang ◽  
Hong Zhu ◽  
Delei Fang
Keyword(s):  
Carbon Nanotubes ◽  
Tensile Strength ◽  
Young’S Modulus ◽  
Carbon Fibers ◽  
Epoxy Resins ◽  
Young's Modulus ◽  
Resin Matrix ◽  
Reinforced Composites ◽  
Rule Of Mixtures ◽  
Combined Use

A modified rule of mixtures is required to account for the experimentally observed nonlinear variation of tensile strength. A modified Halpin–Tsai model was presented to predict the Young’s modulus of multiscale reinforced composites with both micron-sized and nano-sized reinforcements. In the composites, both micron-sized fillers—carbon fibers—and nano-sized fillers—rubber nanoparticles and carbon nanotubes—are added into the epoxy resin matrix. Carbon fibers can help epoxy resins increase both the tensile strength and Young’s modulus, while rubber nanoparticles and carbon nanotubes can improve the toughness without sacrificing other properties. Mechanical experiments and scanning electron microscopy observations were used to study the effects of the micron-sized and nano-sized reinforcements and their combination on tensile and toughness properties of the composites. The results showed that the combined use of multiscale reinforcements had synergetic effects on both the strength and the toughness of the composites.

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