On one asymmetric wave field in transversely isotropic elastic medium
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 35, Tome 332 (2006), pp. 163-174

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A transversely isotropic homogeneous elastic medium excited by a point force perpendicular to the anisotropic axis is cosidered. The wave field in this medium is constructed and investigated. The fronts of the $SV$ and $SH$ waves are contact with one another at a point. The fronts in the vicinity of this point are investigated in additional. If we consider the $SH$ wave (or the $SV$ wave) separatelly then a false plane front in this region arises. On combined consideration of the $SH$ and $SV$ waves, this false front disappears.
@article{ZNSL_2006_332_a10,
     author = {L. A. Molotkov},
     title = {On one asymmetric wave field in transversely isotropic elastic medium},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {163--174},
     publisher = {mathdoc},
     volume = {332},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_332_a10/}
}
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L. A. Molotkov. On one asymmetric wave field in transversely isotropic elastic medium. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 35, Tome 332 (2006), pp. 163-174. http://geodesic.mathdoc.fr/item/ZNSL_2006_332_a10/