## Asymptotic elastodynamic Green function in the kiss
singularity in homogeneous anisotropic solids

**Vaclav Vavrycuk**
### Summary

The far-field asymptotic formula is derived for the elastodynamic Green
function in the kiss singularity in homogeneous anisotropic solids.
In contrast to standard asymptotics in regular directions the derived formula
is more complex and expressed in the form of a 1-D integral. This integral
is specified for the kiss singularity along the symmetry axis in transverse
isotropy and along the fourfold symmetry axes in tetragonal and cubic
symmetries. The shape of the slowness surface in the singularity is regular
in transverse isotropy and the amplitude of the Green function is expressed
by means of the Gaussian curvature of this surface in the singularity.
However, the shape of the slowness surface is irregular and the Gaussian
curvature is not defined in the singularity in tetragonal or cubic symmetries.
In this case, the amplitude of the Green function is expressed by means of
the generalized Gaussian curvature.

### Whole paper

The reprint is available in
PDF (243 kB).

*Stud. geophys. geod.*, **46** (2002), 249-266.

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