Geodesic
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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     author = {E. I. Romenskiǐ and A. D. Sadykov},
     title = {On modelling the frequency transformation effect in elastic waves},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {117--125},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2010_13_3_a13/}
}
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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/