Geodesic
Computations of Rayleigh waves in anisotropic elastic media and impedance
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 42, Tome 409 (2012), pp. 40-48 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

An algorithm of the computation of Rayleigh waves in layered anisotropic elastic media with arbitrary position of boundary plane and arbitrary direction of propagation is considered in the paper. By using translation operators the problem is reduced to the construction of an impedance operator for a homogeneous anisotropic half space and construction with its help the Rayleigh waves in the half space. Computations of velocities of Rayleigh waves and their polarization for different anisotropic media are given for the case of homogeneous half space at the end of the paper. 
@article{ZNSL_2012_409_a2,
     author = {A. P. Kachalov and S. A. Kachalov},
     title = {Computations of {Rayleigh} waves in anisotropic elastic media and impedance},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {40--48},
     year = {2012},
     volume = {409},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_409_a2/}
}
TY  - JOUR
AU  - A. P. Kachalov
AU  - S. A. Kachalov
TI  - Computations of Rayleigh waves in anisotropic elastic media and impedance
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2012
SP  - 40
EP  - 48
VL  - 409
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2012_409_a2/
LA  - ru
ID  - ZNSL_2012_409_a2
ER  - 
%0 Journal Article
%A A. P. Kachalov
%A S. A. Kachalov
%T Computations of Rayleigh waves in anisotropic elastic media and impedance
%J Zapiski Nauchnykh Seminarov POMI
%D 2012
%P 40-48
%V 409
%U http://geodesic.mathdoc.fr/item/ZNSL_2012_409_a2/
%G ru
%F ZNSL_2012_409_a2
A. P. Kachalov; S. A. Kachalov. Computations of Rayleigh waves in anisotropic elastic media and impedance. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 42, Tome 409 (2012), pp. 40-48. http://geodesic.mathdoc.fr/item/ZNSL_2012_409_a2/

[1] A. P. Kachalov, “Volny Releya v anizotropnoi uprugoi srede i impedans”, Zap. nauchn. semin. POMI., 393, 2011, 125–143 | MR

[2] A. P. Kachalov, S. A. Kachalov, “Computation of Rayleigh waves in homogeneous anisotropic half space using impedance operator”, Days of Diffraction (2012), International Conference (St. Petersburg, 2012), 58

[3] L. A. Molotkov, Matrichnyi metod v teorii rasprostraneniya voln v sloistykh uprugikh i zhidkikh sredakh, Leningrad, 1984