Abstract :
transient 3D study of surface (Rayleigh) and interface (Stoneley) signals in fullycoupled
thermolastic solids begins by obtaining analytical expressions for the zeroes of the corresponding
Rayleigh/Stoneley functions that arise in the integral transforms of the solutions. The
expressions locate the zeroes as functions of the temporal transform variable in a complex plane
defined by a scalar resultant of spatial transform variables.
Expressions for the change in surface temperature caused by the Rayleigh signal are then
derived for cases of normal traction surface loading. By using long-time asymptotic results, the
expressions can be obtained analytically, and they show that Rayleigh/Stoneley signal-induced
thermal effects can be important.
The long-time asymptotic results also show that Rayleigh/Stoneley zeroes reduce to the thermally-
modified inverses of the classical (non-thermal) Rayleigh/Stoneley wave speeds. This result
agrees with 2D predictions that can be made on the basis of low-frequency asymptotic harmonic
wave studies. The long-time results are not restrictive, because time is scaled by a small, i.e.,
O(lO-“)pm, thermoelastic characteristic length. 0 1997 Elsevier Science Ltd. All rights reserved.
