M. Ziv, AMALGAMATED BODY WAVES, SURFACE-WAVES, AND SOURCE SIGNATURE IN A HALF-SPACE UNDER A SHEAR LOAD, The Journal of the Acoustical Society of America, 94(5), 1993, pp. 2904-2915
The half-space elastic response to a source of a nonuniformly spatiall
y distributed impulsive shear load is presented in this paper. Specifi
cally, an infinite semicircular canyon of a finite radius is embedded
in the surface of the half-space where an impulsive shear load is tang
entially distributed over the entire surface of the canyon. In an earl
ier work, the author gave an analytical-numerical method for transient
multicurvilinear dimensional boundary-value problems and its employme
nt to a nonuniformly spatially distributed shear load. Here, the resul
tant transient deformation of the half-space is described and interpre
ted. In particular, a detailed discussion is devoted to the appearance
of spatially stationary strong discontinuity fronts in the interior o
f the deformed half-space. These fronts, which disclose the nature of
the prescribed source of disturbance, are the source signature. A deta
iled discussion is then devoted to the appearance of amalgamated wave
fronts (not to be confused with head waves), which are neither dilatat
ional nor shear waves, and their surface waves, all revealing themselv
es explicitly by the solution method.