Open AccessSource of a time‐harmonic SH wave in a cylindrically orthotropic elastic solid
Author(s) -
Watanabe Kazumi,
Payton Robert G.
Publication year - 2001
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1046/j.0956-540x.2001.01417.x
Subject(s) - orthotropic material , bessel function , mathematical analysis , rigidity (electromagnetism) , mathematics , harmonic function , hankel transform , representation (politics) , physics , quantum mechanics , finite element method , thermodynamics , politics , political science , law
Summary The time harmonic response to a point SH ‐wave source in a cylindrically orthotropic elastic solid is considered and some closed‐form Green functions are obtained for special values of the rigidity ratio (√( μ / μ r )). An integral representation formula, a key formula for the solution method, for a product of Bessel and Hankel functions with non‐integer order is also presented.