Prikazchikov, DA ORCID: https://orcid.org/0000-0001-7682-3079, Kudaibergenov, A and Kudaibergenov, A (2021) Near-resonant regimes of the moving load on a pre-stressed incompressible elastic half-space. Acta Mechanica et Automatica, 15 (1). pp. 30-36.

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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.

Item Type: Article
Additional Information: © 2021 Askar Kudaibergenov et al., published by Sciendo This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. Please refer to the publisher for information on reuse.
Uncontrolled Keywords: Moving load; incompressible; pre-stress; asymptotic
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 23 Apr 2021 07:46
Last Modified: 21 Sep 2021 11:21
URI: https://eprints.keele.ac.uk/id/eprint/9434

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