Дифракция упругих волн на сфере в полуограниченной области / Селезов И. Т. (2019)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2019, 55 (3))

Selezov I.T.
Diffraction of elastic waves by sphere in the semibounded region

The author considers scattering of plane elastic waves by a rigid sphere near a plane rigid boundary, which causes multiply re-reflected dilation and shear waves and generates strong oscillations of the wave field. The problem is formulated and reduced to finding scalar functions and for shear waves also as a consequence of symmetry. Approximate formulas for the field in the far zone and in case of the Rayleigh long wavelength approximation are presented. Estimates of the construction of multiply re-reflected waves by the image method are obtained. Calculations of scattered wave fields presented in the form of scattering diagrams are carried out. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: image method, semi-bounded region, sphere, wave diffraction, Approximation algorithms, Shear waves, Spheres, Approximate formulas, Image method, Long-wavelength approximation, Rigid boundaries, Scattered wave field, Scattering diagrams, semi-bounded region, Wave diffractions, Shear flow


Cite:
Selezov I.T. (2019). Diffraction of elastic waves by sphere in the semibounded region. Cybernetics and Systems Analysis, 55 (3), 56-63. doi: https://doi.org/10.1007/s10559-019-00146-3 http://jnas.nbuv.gov.ua/article/UJRN-0000986317 [In Russian].


 

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