On modelling the frequency transformation effect in elastic waves
Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 3, pp. 117-125.

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We give a continual model of an elastic medium with a field of distributed defects, and use it to study the frequency transformation effect in elastic waves. By an example of numerical simulation of one-dimensional waves arising under a harmonic action on a layer with defects we demonstrate the possibility of describing frequency transformation in the framework of the model.
Keywords: elastic waves, frequency transformation, field of distributed defects.
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E. I. Romenskiǐ; A. D. Sadykov. On modelling the frequency transformation effect in elastic waves. Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 3, pp. 117-125. http://geodesic.mathdoc.fr/item/SJIM_2010_13_3_a13/

[1] Dorovsky V. N., Belonosov V. S, Belonosov A. S., “Numerical investigation of parametric resonance in water-oil structures containing gas”, Math. Comput. Modelling, 36 (2002), 203–209 | DOI | MR | Zbl

[2] Belonosov V. S., Dorovskii V. N., Belonosov A. S., Dorovskii S. V., “Gidrodinamika gazosoderzhaschikh sloistykh sistem”, Uspekhi mekhaniki, 3:2 (2005), 37–70

[3] Romensky E. I., “Thermodynamics and balance laws for processes of inelastic deformations”, 11 Conf. on Waves and Stability in Continuous Media (Proc. WASCOM 2001), World Sci., Porto Ercole, 2002, 484–495 | MR

[4] Godunov S. K., Romenskii E. I., Elementy mekhaniki sploshnykh sred i zakony sokhraneniya, Nauch. kniga, Novosibirsk, 1998 | Zbl