The 3D dynamic equations in elasticity for a thin transversely inhomogeneous plate are
subject to asymptotic analysis over the low-frequency range. The leading and first order …

The elastic equilibrium of a thin elastic beam is studied using asymptotic analysis starting
from a 2D formulation within the context of plane elasticity. The aim of the paper is to …

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 …

The dynamics of thin elastic one-directional non-periodic plates are considered in this
paper. The structure of these plates is, at a macro level, functionally graded along the x 1 …

Mechanics of a thin elastic coating is analysed using nonlinear constitutive relations based
on the concept of a density-dependent Young's modulus. In contrast to previous …

The plane strain time-harmonic motion of an immersed cylindrical elastic shell is considered.
The revisit to this classical problem is motivated by modern technical applications, including …

The dynamics of elastic media and structures are of great practical interest due to their
varied application in areas from ranging manufacturing to medicine. Surface structures like …

Forced low-frequency vibrations of a functionally graded thin-walled cylindrical shell
submerged in a compressible fluid are investigated. The problem undergoes asymptotic …

A 3D problem in linear elasticity is considered for a thin inhomogeneous layer subject to
transverse compression. For the first time, the effect of arbitrary vertical inhomogeneity is …

We explain the behavior of brittle polycrystalline materials (such as ceramics or rocks)
possessing pre-existing intergranular microcracking, under uniaxial, displacement …