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 reviews several leading approaches for asymptotic modelling of thin layers in
elastostatics and wave propagation phenomena. The issues related to applications of the so …

The present study analyzes the propagation of surface waves on a strongly inhomogeneous
loaded bi-elastic cylindrical tube with variable material constituents. More precisely, due to …

Elastodynamics of a half-space coated by a thin soft layer with a clamped upper face is
considered. The focus is on the analysis of localized waves that do not exist on a clamped …

The current study examines the propagation of surface waves in an asymmetric rotating
doubly coated nonhomogeneous half space. The coating layers are assumed to be made of …

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 propagation of Rayleigh waves in an isotropic elastic half-space with impedance
boundary conditions was investigated recently by Godoy et al.[Wave Motion 49 (2012), 585 …

Two-parametric asymptotic analysis of the equilibrium of an elastic half-space coated by a
thin soft layer is developed. The initial scaling is motivated by the exact solution of the plane …

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 …