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M. Rosen, “Elastic Moduli and Ultrasonic Attenuation of Gd, Tb, Dy, Ho and Eb from 4.2 to 300K,” Physical Review, Vol. 174, No. 2, 1968, pp. 504-514. doi:10.1103/PhysRev.174.504

has been cited by the following article:

• TITLE: Propagation of Acoustic Wave inside the Carbon Nanotube: Comparative Study with Other Hexagonal Material

  AUTHORS: Sanjay Srivastava

  KEYWORDS: Stiffness; Young’s Modulus; Shears Modulus; Second- and Third-Order Elastic Constants; Acoustic Velocity

  JOURNAL NAME: Open Journal of Acoustics, Vol.3 No.3, September 9, 2013

  ABSTRACT: Carbon nanotube is a novel and more explored material. In this paper, ultrasonic acoustic velocity of the carbon nanotube has been calculated along unique axis at room temperature. For the evaluations of ultrasonic properties, second and third-order elastic constants have been computed from Lennard-Jones interaction potential. Attenuation of ultrasonic waves due to phonon-phonon interaction is predominant over thermoelastic loss. Carbon nanotube shows the unique behavior with the chiral number. Chiral number not only affect the band gap and tube radius of the carbon nanotube but also affect the mechanical properties like stiffness, bulk modulus, shear modulus of the tube. The peculiar behavior is obtained at 55°. Due to their least thermal relaxation time and highest Debye average velocity. Results are also compared with other hexagonal metallic materials which present in periods and group of the periodic table. They show the optimum behavior with other hexagonal materials.