VIBRATIONS OF THE SURFACE OF AN ELASTIC DOUBLE-LAYERED HALF-SPACE WITH A PERIODIC SYSTEM OF CRACKS

Citation
Ma. Sumbatyan et M. Ciarletta, VIBRATIONS OF THE SURFACE OF AN ELASTIC DOUBLE-LAYERED HALF-SPACE WITH A PERIODIC SYSTEM OF CRACKS, Journal of applied mathematics and mechanics, 62(2), 1998, pp. 297-302
Citations number
4
Categorie Soggetti
Mathematics,Mathematics,Mechanics
ISSN journal
00218928
Volume
62
Issue
2
Year of publication
1998
Pages
297 - 302
Database
ISI
SICI code
0021-8928(1998)62:2<297:VOTSOA>2.0.ZU;2-V
Abstract
The two-dimensional problem of the normal incidence of a plane transve rse wave from the far field on to the free surface of an elastic doubl e-layered half-space, comprising a homogeneous layer attached to a sem i-infinite base of a different elastic material, is considered. At the boundary between the two media there is a system of plane cracks, arr anged periodically along the separation line, which models the fractur e zone at the interface between dense solid rock and soft sedimentary rock. The effect of the fractures on the transmission of a transverse seismic wave generated by a deep-focus earthquake, and of the type of vibrations of the free surface of the ground that result, is studied. It is difficult to predict whether the seismic wave is strengthened or weakened by the fracture zone. The effect of the system of cracks on vibrations of the free surface largely depends on the physical and geo metrical parameters and, primarily, on the vibration frequencies. (C) 1998 Elsevier Science Ltd. All rights reserved.