Study on the shear modulus of single-walled carbon nanotubes via energy theory
Wu Yongdong, Xiaochun Zhang, Weifang Zhong, A.Y.T. Leung
Abstract
Wu Yongdong, Xiaochun Zhang, Weifang Zhong, A.Y.T. Leung
Abstract
The shear moduli of single-walled carbon nanotubes(SWCNT) are investigated by using energy theory.Based on the principle of molecular mechanics,the total system potential energy of SWCNT,subjected to torsion only,is obtained.The computing formulae of the shear moduli of SWCNT are obtained by comparing the total molecular potential energy of a SWCNT with the strain energy of a corresponding thin cylinder.Computations of the shear moduli reveal that present results agree well with existing results,so the validity of these computing formulae is verified.
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The shear moduli of single-walled carbon nanotubes(SWCNT) are investigated by using energy theory.Based on the principle of molecular mechanics,the total system potential energy of SWCNT,subjected to torsion only,is obtained.The computing formulae of the shear moduli of SWCNT are obtained by comparing the total molecular potential energy of a SWCNT with the strain energy of a corresponding thin cylinder.Computations of the shear moduli reveal that present results agree well with existing results,so the validity of these computing formulae is verified.
Key concepts: Moduli, Carbon nanotube, Torsion (gastropod), Shear modulus, Materials science, Shear (geology), Strain energy, Potential energy