Vol. 4, No. 4, 2009

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

Volume 18
Issue 4, 427–532
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