Vol. 4, No. 4, 2009

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

Volume 18
Issue 5, 621–764
Issue 4, 427–565
Issue 3, 293–425
Issue 2, 143–291
Issue 1, 1–141

Volume 17, 5 issues

Volume 16, 5 issues

Volume 15, 5 issues

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
Policies for Authors
Ethics Statement
ISSN: 1559-3959
Author Index
To Appear
Other MSP Journals
Existence of one-component Rayleigh waves, Stoneley waves, Love waves, slip waves and one-component waves in a plate or layered plate

Thomas C. T. Ting

Vol. 4 (2009), No. 4, 631–647

It is known that one-component surface (Rayleigh) waves exist in an anisotropic elastic half-space. Since the solution shows that the displacement normal to the free surface vanishes everywhere, a one-component surface wave is also a one-component slip wave in the half-space if the boundary of the half-space is a slippery surface. We show that no other one-component slip waves exist for the half-space. As to steady waves in a bimaterial that consists of two dissimilar anisotropic elastic materials, one-component slip waves can be constructed from two one-component surface waves. There are no other one-component slip waves for a bimaterial. By imposing the continuity of the displacement at the interface on the one-component slip wave, a one-component Stoneley wave is obtained. Although one-component waves for the half-space can also propagate in a homogeneous plate, we present new one-component waves in a plate for which the Stroh eigenvalue p is real. By superposition of the one-component waves in the layer and in the half-space, one-component Love waves can be constructed. Finally, we show that one-component waves can propagate in a layered plate.

anisotropic, steady waves, slip waves, one-component waves, Rayleigh waves, Stoneley waves, plate, layered plate, dispersion equations
Received: 22 November 2007
Accepted: 15 April 2008
Published: 7 August 2009
Thomas C. T. Ting
Division of Mechanics and Computation
Stanford University
Durand 262
Stanford, CA 94305
United States