Journal
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 465, Issue 2105, Pages 1489-1511Publisher
ROYAL SOC
DOI: 10.1098/rspa.2008.0457
Keywords
periodic media; shear horizontal surface wave; dispersion spectrum; continuous inhomogeneity; semi-infinite strip
Categories
Ask authors/readers for more resources
The paper is concerned with the propagation of shear horizontal surface waves (SHSW) in semi-infinite elastic media with vertically periodic continuous and/or discrete variation of material properties. The existence and spectral properties of the SHSW are shown to be intimately related to the shape of the properties variation pro. le. Generally, the SHSW dispersion branches represent randomly broken spectral intervals on the (omega, k) plane. They may, however, display a particular regularity in being confined to certain distinct ranges of slowness s=omega/k, which can be predicted and estimated directly from the pro. le shape. The SHSW spectral regularity is especially prominent when the material properties at the opposite edge points of a period are different. In particular, a unit cell can be arranged so that the SHSW exists within a single slowness window, narrow in the measure of material contrast between the edges, and does not exist elsewhere or vice versa. Explicit analysis in the (omega, k) domain is complemented and verified through the numerical simulation of the SH wave field in the time space domain. The results also apply to a longitudinally periodic semi-infinite strip with a homogeneous boundary condition at the faces.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available