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 …

This paper presents the results of a study concerning the band-gap behaviours and
formation mechanisms of periodic track structures. Based on the band-gap theories …

The paper deals with the three-dimensional problem in linear isotropic elasticity for a coated
half-space. The coating is modelled via the effective boundary conditions on 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 …

This paper is concerned with the Rayleigh wave dispersion in an incompressible
functionally graded orthotropic half-space loaded by a thin fluid-saturated aeolotropic …

The paper deals with 3D dynamic response of an elastic half-space loaded by a point force
moving at a constant speed along a straight line on the surface. The problem is formulated …

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 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 …

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 …

Response of moving load over a surface is an intriguing problem of mechanics to determine
the stability and strength of a structure. Owing to this the present theoretical framework is …