Study on the Young's Modulus of Single-walled Carbon Nanotubes via Energy Approach
Yongdong Wu, Zhong Weifang
Abstract
Yongdong Wu, Zhong Weifang
Abstract
In this paper,the Young's modulus of single-walled carbon nanotubes(SWCNT) are investigated by using energy approach.First,based on the principle of molecular mechanics,the total system potential energy of SWCNT,subjected to axial loading only,is obtained.The computing formulae of the Young's moduli of SWCNT are obtained by comparing the total molecular potential energy of a SWCNT with the strain energy of a corresponding cylindrical thin shell.Computations of the Young's modulus reveal that present results agree well with existing results.
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In this paper,the Young's modulus of single-walled carbon nanotubes(SWCNT) are investigated by using energy approach.First,based on the principle of molecular mechanics,the total system potential energy of SWCNT,subjected to axial loading only,is obtained.The computing formulae of the Young's moduli of SWCNT are obtained by comparing the total molecular potential energy of a SWCNT with the strain energy of a corresponding cylindrical thin shell.Computations of the Young's modulus reveal that present results agree well with existing results.
Key concepts: Carbon nanotube, Materials science, Modulus, Moduli, Young's modulus, Strain energy, Composite material, Computation