In this review paper, we concentrate on the use of boundary integral equation (BIE) based
methods for the numerical modeling of elastic wave motion in naturally occurring media. The …

This book systematically discusses the modern theory of propagation and interaction of
elastic waves in solids with microstructure. Mathematical models of solids taking into …

Analytical wave propagation studies in gradient elastic solids and structures are presented.
These solids and structures involve an infinite space, a simple axial bar, a Bernoulli–Euler …

It is well known that the classical theory of elasticity predicts Rayleigh-wave motions, which
are not dispersive at any frequency. Of course, at high frequencies, this is a result that …

The present work deals with torsional wave propagation in a linear gradient-elastic half-
space. More specifically, we prove that torsional surface waves (ie waves with amplitudes …

This study aims at determining the elastic stress and displacement fields around a crack in a
microstructured body under a remotely applied loading of the antiplane shear (mode III) …

Here we discuss the similarities and differences in anti-plane surface wave propagation in
an elastic half-space within the framework of the theories of Gurtin–Murdoch surface …

A well-known deficiency of the classical theory of elasticity is that it does not predict
dispersive Rayleigh-wave motions at any frequency. This contradicts experimental data and …

The present study aims at determining the elastic stress and displacement fields around the
tips of a finite-length crack in a microstructured solid under remotely applied plane-strain …

In this paper we discuss new type of surface anti-plane waves localized near the surface an
elastic half-space and in the vicinity of plane interface between two half-spaces, when …