Short wavelength approximation of a boundary integral operator for homogeneous and isotropic elastic bodies.
A short wavelength approximation of a boundary integral operator for two-dimensional isotropic and homogeneous elastic bodies is derived from first principles starting from the Navier-Cauchy equation. Trace formulas for elastodynamics are deduced connecting the eigenfrequency spectrum of an elastic body to the set of periodic rays where mode conversion enters as a dynamical feature.
Tanner
Gregor
G
School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, United Kingdom.
Søndergaard
Niels
N