Geodesic
Calculation of short acoustic puls diffraction on a~hole of the complicated form in the filling with elastic covering
Matematičeskoe modelirovanie, Tome 2 (1990) no. 8, pp. 51-59.

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The method of calculation of the infinitely long cylindrical covering with filling with the complicated form hole is suggested. Suppouse that conditions of plane deformation are executed. Functions are represented by Fouier's row. Amplitude may be find by the solution of nonstationary one-dimentional equations. The results of pressure and velocity field calculations and calculations of destruction regions are represented for the case of star-form hole. 
@article{MM_1990_2_8_a5,
     author = {A. V. Ostrik and I. B. Petrov and V. P. Petrovsky},
     title = {Calculation of short acoustic puls diffraction on a~hole of the complicated form in the filling with elastic covering},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {51--59},
     publisher = {mathdoc},
     volume = {2},
     number = {8},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1990_2_8_a5/}
}
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A. V. Ostrik; I. B. Petrov; V. P. Petrovsky. Calculation of short acoustic puls diffraction on a~hole of the complicated form in the filling with elastic covering. Matematičeskoe modelirovanie, Tome 2 (1990) no. 8, pp. 51-59. http://geodesic.mathdoc.fr/item/MM_1990_2_8_a5/