Explicit asymptotic formulations are derived for Rayleigh and Rayleigh-type interfacial and
edge waves. The hyperbolic–elliptic duality of surface and interfacial waves is established …

The aim of the study is to evaluate the 3D dynamic response of a finite geological region
containing two structures and rested on a semi-infinite elastic layered half-space with a …

Near-surface resonance phenomena often arise in semi-infinite solids. For instance, when a
moving load with a speed v close to the surface wave speed v R is applied to the surface of …

We develop an explicit asymptotic model for the Rayleigh wave field arising in case of
stresses prescribed on the surface of an orthorhombic elastic half-plane. The model consists …

The current theoretical study deals with computation of Stoneley waves along a solid–solid
interface and Scholte waves (also called Scholte-Gogoladze) along a solid–liquid interface …

In this paper, the bending waves propagating along the edge of a semi-infinite Kirchhoff
plate resting on a two-parameter Pasternak elastic foundation are studied. Two geometries …

The long-term challenge of formulating an asymptotically motivated wave theory for elastic
plates is addressed. Composite two-dimensional models merging the leading or higher …

This paper is concerned with elucidation of the general properties of the bending edge wave
in a thin linearly elastic plate that is supported by a Winkler foundation. A homogeneous …

We derive a second-order correction to an existing leading-order model for surface waves in
linear elasticity. The same hyperbolic–elliptic equation form is obtained with a correction …

This Letter deals with an analysis of bending edge waves propagating along the free edge
of a Kirchhoff plate supported by a Winkler foundation. The presence of a foundation leads …