Asymptotic theory for Rayleigh and Rayleigh-type waves
J Kaplunov, DA Prikazchikov - Advances in applied mechanics, 2017 - Elsevier
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 …
edge waves. The hyperbolic–elliptic duality of surface and interfacial waves is established …
Rayleigh-type waves on a coated elastic half-space with a clamped surface
J Kaplunov, D Prikazchikov… - … Transactions of the …, 2019 - royalsocietypublishing.org
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 …
considered. The focus is on the analysis of localized waves that do not exist on a clamped …
Reduced model for the surface dynamics of a generally anisotropic elastic half-space
Y Fu, J Kaplunov… - Proceedings of the …, 2020 - royalsocietypublishing.org
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 …
moving load with a speed v close to the surface wave speed v R is applied to the surface of …
Explicit formulation for the Rayleigh wave field induced by surface stresses in an orthorhombic half-plane
A Nobili, DA Prikazchikov - European Journal of Mechanics-A/Solids, 2018 - Elsevier
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 …
stresses prescribed on the surface of an orthorhombic elastic half-plane. The model consists …
Edge bending wave on a thin elastic plate resting on a Winkler foundation
J Kaplunov, DA Prikazchikov… - Proceedings of the …, 2016 - royalsocietypublishing.org
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 …
in a thin linearly elastic plate that is supported by a Winkler foundation. A homogeneous …
Explicit models for surface, interfacial and edge waves
J Kaplunov, DA Prikazchikov - Dynamic localization phenomena in …, 2013 - Springer
We derive explicit asymptotic formulations for surface, interfacial and edge waves in elastic
solids. The effects of mixed boundary conditions and layered structure are incorporated. A …
solids. The effects of mixed boundary conditions and layered structure are incorporated. A …
Weakly nonlocal Rayleigh waves with impedance boundary conditions
In this paper, we study the propagation of Rayleigh waves in a nonlocal orthotropic elastic
half-space subject to impedance boundary conditions using the weakly nonlocal elasticity …
half-space subject to impedance boundary conditions using the weakly nonlocal elasticity …
Dynamic response of circular cavity and crack in anisotropic elastic half-space by out-plane waves
XU Huanan, J Zhang, Z Yang, G Lan… - Mechanics Research …, 2018 - Elsevier
Due to the fact that anisotropic medium model is much common in earthquake engineering,
dynamic response of a circular cavity and a crack in anisotropically elastic half-space under …
dynamic response of a circular cavity and a crack in anisotropically elastic half-space under …
Asymptotic formulation for the Rayleigh wave on a nonlocally elastic half-space
DA Prikazchikov - Vibration, 2023 - mdpi.com
This paper deals with the Rayleigh wave, propagating on a nonlocally elastic, linearly
isotropic half-space, excited by a prescribed surface loading. The consideration develops …
isotropic half-space, excited by a prescribed surface loading. The consideration develops …
Asymptotic models for surface waves in coated elastic solids
AMA Mubaraki - 2021 - keele-repository.worktribe.com
This thesis deals with surface wave propagation in elastic solids. It develops further the
methodology of asymptotic hyperbolic-elliptic models for the surface elastic waves, aiming at …
methodology of asymptotic hyperbolic-elliptic models for the surface elastic waves, aiming at …