Abstract
In the present chapter, according to papers by Akbarov (Int J Solid Struc 50(16/17):2584–2596, 2013b; Comput Mater Continua 33(1):63–85, 2013c) we will consider some stability loss and wave propagation problems regarding the double-walled carbon nanotube (DWCNT). Namely, we will consider the problem on the mircobuckling of DWCNT embedded in an elastic matrix and the problem on an axisymmetric longitudinal wave propagation in DWCNT. The DWCNT is modeled as concentrically-nested two circular hollow cylinders between which there is free space. It is assumed that on the inner surface of the outer tube (cylinder) and on the outer surface of the inner tube (cylinder) of the DWCNT full slipping conditions occur. At the same time, it is assumed that the difference between the radial displacements of the adjacent surfaces of the tubes resists with the van der Waals forces. On the interface between the matrix and DWCNT complete contact conditions are satisfied. Numerical results on the critical parameters and on the wave dispersion are presented and discussed.
Published Version
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