Near-resonant regimes of the moving load on a pre-stressed incompressible elastic half-space

Kudaibergenov, Askar; Kudaibergenov, Askat; Prikazchikov, Danila

doi:10.2478/ama-2021-0005

Near-resonant regimes of the moving load on a pre-stressed incompressible elastic half-space

Kudaibergenov, Askar; Kudaibergenov, Askat; Prikazchikov, Danila

Authors

Askar Kudaibergenov

Askat Kudaibergenov

Danila Prikazchikov d.prikazchikov@keele.ac.uk

Abstract

The article is concerned with the analysis of the problem for a concentrated line load moving at a constant speed along the surface of a pre-stressed, incompressible, isotropic elastic half-space, within the framework of the plane-strain assumption. The focus is on the near-critical regimes, when the speed of the load is close to that of the surface wave. Both steady-state and transient regimes are considered. Implementation of the hyperbolic-elliptic asymptotic formulation for the surface wave field allows explicit approximate solution for displacement components expressed in terms of the elementary functions, highlighting the resonant nature of the surface wave. Numerical illustrations of the solutions are presented for several material models.

Journal Article Type	Article
Acceptance Date	Apr 19, 2021
Publication Date	May 15, 2021
Journal	Acta Mechanica et Automatica
Publisher	De Gruyter
Peer Reviewed	Peer Reviewed
Volume	15
Issue	1
Pages	30-36
DOI	https://doi.org/10.2478/ama-2021-0005
Keywords	Moving load; incompressible; pre-stress; asymptotic
Publisher URL	https://doi.org/10.2478/ama-2021-0005