Geodesic
Modelling of inhomogeneous coating of an elastic sphere with demanded sound-reflecting properties
Matematičeskoe modelirovanie, Tome 29 (2017) no. 11, pp. 89-98.

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The return problem of laws determining of the covering inhomogeneity of the elastic sphere characterized by minimum reflection of a plane sound wave in a preset angular sector and frequency range is considered. Based on an analytic solution to the direct problem, a functional expressing the reflection intensity is constructed and an algorithm for its minimization is proposed. Analytic expressions describing mechanical parameters of the inhomogeneous coating are obtained.
Keywords: reflection of sound, elastic sphere, inhomogeneous coating, inhomogeneity laws. 
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L. A. Tolokonnikov; N. V. Larin; S. A. Skobel'tsyn. Modelling of inhomogeneous coating of an elastic sphere with demanded sound-reflecting properties. Matematičeskoe modelirovanie, Tome 29 (2017) no. 11, pp. 89-98. http://geodesic.mathdoc.fr/item/MM_2017_29_11_a5/

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