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Steel and Composite Structures
  Volume 31, Number 6, June25 2019 , pages 641-653

Hygro-thermal wave propagation in functionally graded double-layered nanotubes systems
Gui-Lin She, Yi-Ru Ren and Fuh-Gwo Yuan

    In this paper, wave propagation is studied and analyzed in double-layered nanotubes systems via the nonlocal strain gradient theory. To the author\'s knowledge, the present paper is the first to investigate the wave propagation characteristics of double-layered porous nanotubes systems. It is generally considered that the material properties of nanotubes are related to the porosity and hygro-thermal effects. The governing equations of the double-layered nanotubes systems are derived by using the Hamilton principle. The dispersion relations and displacement fields of wave propagation in the double nanotubes systems which experience three different types of motion are obtained and discussed. The results show that the phase velocities of the double nanotubes systems depend on porosity, humidity change, temperature change, material composition, non-local parameter, strain gradient parameter, interlayer spring, and wave number.
Key Words
    wave propagation; double-layered nanotubes systems; phase velocity; hygro-thermal environment
(1) Gui-Lin She, Yi-Ru Ren:
Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, China;
(2) Fuh-Gwo Yuan:
Department of Mechanical and Aerospace Engineering, North Carolina State University, 911 Partners Way, Raleigh, NC 27695, USA.

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