Anti-plane dynamic shear of a strongly inhomogeneous dynamic laminate with traction-free
faces is analysed. Two types of contrast are considered, including those for composite …

The nonlinear resonance interaction and energy exchange between bending and
circumferential flexure modes in single-walled carbon nanotubes is studied. First, the results …

On the basis of the smeared stiffener theory, the evolution of nonlinear axisymmetric
longitudinal waves in a nonlinear elastic cylindrical shell reinforced by internal stringers is …

Dispersion of plane harmonic waves in an elastic layer interacting with a one-or two-sided
Winkler foundation is analyzed. The long-wave low-frequency polynomial approximations of …

Low frequency vibrations of a thin walled functionally graded cylinder are considered within
the plane strain framework. The dynamic relations in elasticity are subject to asymptotic …

We demonstrate the new specific phenomenon of the long-time resonant energy exchange
in the carbon nanotubes (CNTs) in the two optical branches-the Circumferential Flexure …

The general scaling underlying the asymptotic derivation of 2D theory for thin shells from the
original equations of motion in 3D elasticity fails for cylindrical shells due to the cancellation …

For a sufficiently long time, the main analytical tools for the study of both stationary and non-
stationary nonlinear processes in the finite-dimensional systems, as well as the study of their …

In this paper, the comparison is conducted between two shell theories as applied to the
vibrations of double-walled carbon nanotubes (DWCNTs); specifically, the evaluation of the …

A 3D dynamic problem for a thin elastic layer resting on a Winkler foundation is considered.
The stiffness of the layer is assumed to be much greater than that of the foundation in order …