M. Spies, GREENS TENSOR FUNCTION FOR LAMBS PROBLEM - THE GENERAL ANISOTROPIC CASE, The Journal of the Acoustical Society of America, 102(4), 1997, pp. 2438-2441
The complete solution of Lamb's three-dimensional problem of determini
ng the elastic disturbance resulting from a point force in a half-spac
e is addressed. The derived expression for the half-space Green's func
tion is valid for a general anisotropic medium and is given in a two-d
imensional space-time spectral representation, which is well-suited fo
r numerical evaluation. It is expressed with respect to the displaceme
nt and traction vectors involved as well as the full-space Green's dya
dic (or displacement tensor) and triadic (or stress tensor) functions.
(C) 1997 Acoustical Society of America. [S0001-4966(97)04410-X]PACS n
umbers: 43.20.Bi, 43.20.Gp, 43.35.Cg, 43.35.Zc [JEG].