<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Near-Resonant Regimes of a Moving Load on a Pre-Stressed Incompressible Elastic Half-Space

Department of Mathematical and Computer Modelling, Faculty of Mechanics and Mathematics

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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,...

Near-Resonant Regimes of a Moving Load on a Pre-Stressed Incompressible Elastic Half-Space

Publié en ligne: 15 mai 2021

Pages: 30 - 36

Reçu: 15 oct. 2020

Accepté: 19 avr. 2021

DOI: https://doi.org/10.2478/ama-2021-0005

Mots clés
moving load, incompressible, pre-stress, asymptotic

© 2021 Askar Kudaibergenov et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Near-Resonant Regimes of a Moving Load on a Pre-Stressed Incompressible Elastic Half-Space

Publié en ligne: 15 mai 2021

Pages: 30 - 36

Reçu: 15 oct. 2020

Accepté: 19 avr. 2021

DOI: https://doi.org/10.2478/ama-2021-0005

Mots clésmoving load, incompressible, pre-stress, asymptotic

© 2021 Askar Kudaibergenov et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
moving load, incompressible, pre-stress, asymptotic