Vol. 11, No. 4, 2016

Download this article
Download this article For screen
For printing
Recent Issues

Volume 15
Issue 3, 291–434
Issue 2, 185–289
Issue 1, 1–184

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
About the Journal
Editorial Board
Submission Guidelines
Submission Form
Ethics Statement
ISSN: 1559-3959
Author Index
To Appear
Other MSP Journals
This article is available for purchase or by subscription. See below.
On the causality of the Rayleigh wave

Barış Erbaş and Onur Şahin

Vol. 11 (2016), No. 4, 449–461
DOI: 10.2140/jomms.2016.11.449

An explicit hyperbolic-elliptic formulation for surface Rayleigh waves is analysed with an emphasis on the causality of obtained results. As an example, a 3D moving load problem for a distributed vertical load is considered. A simple approximate solution is derived for a near-resonant regime, and the related point load solution is recast as a limiting case. It is shown that causality is characteristic only for the longitudinal wave potential along the surface, where it is governed by a hyperbolic equation modelling the small dilatation disturbances propagating at the Rayleigh wave speed.

PDF Access Denied

However, your active subscription may be available on Project Euclid at

We have not been able to recognize your IP address as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 45.00:

moving load, causality, Rayleigh wave, hyperbolic-elliptic model
Received: 13 January 2016
Revised: 13 February 2016
Accepted: 9 March 2016
Published: 4 August 2016
Barış Erbaş
Department of Mathematics
Anadolu University
Yunusemre Campus
26470 Eskişehir
Onur Şahin
Department of Mathematics
Anadolu University
Yunusemre Campus
26470 Eskişehir