A. Nobili
Explicit formulation for the Rayleigh wave field induced by surface stresses in an orthorhombic half-plane
Nobili, A.; Prikazchikov, Danila A.
Abstract
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 of an elliptic equation governing the behaviour within the half-plane, with boundary values given on the half-plane surface by a wave equation. Consequently, propagation along the surface is entirely accounted for by the hyperbolic equation, which, besides, may be immediately recast in terms of the associated surface displacement. The model readily solves otherwise involved dynamic problems for prescribed surface stresses, and its effectiveness is demonstrated for the classical Lamb's problem, as well as for the steady-state moving load problem. The latter example shows that the proposed model is really obtained by perturbation around the steady-state solution for a load moving at the Rayleigh speed.
Citation
Nobili, A., & Prikazchikov, D. A. (2018). Explicit formulation for the Rayleigh wave field induced by surface stresses in an orthorhombic half-plane. European Journal of Mechanics - A/Solids, 70, 86-94
Journal Article Type | Article |
---|---|
Acceptance Date | Jan 17, 2018 |
Publication Date | Jan 17, 2018 |
Journal | European Journal of Mechanics - A/Solids |
Print ISSN | 0997-7538 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 70 |
Pages | 86-94 |
Keywords | Asymptotic model; Rayleigh wave; Moving load |
Publisher URL | https://iris.unimore.it/handle/11380/1155335#.WsSooS7waUk |
Files
Submitted EJMSOL_2017_782_Original_V0.pdf
(654 Kb)
PDF
Publisher Licence URL
https://creativecommons.org/licenses/by-nc-nd/4.0/
You might also like
Asymptotic Formulation for the Rayleigh Wave on a Nonlocally Elastic Half-Space
(2023)
Journal Article
On The Derivation Of A String Equation
(2022)
Journal Article
Downloadable Citations
About Keele Repository
Administrator e-mail: research.openaccess@keele.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search