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
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.