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Plane harmonic waves in a hemitropic micropolar body

Плоские монохроматические связанные волны перемещений и микровращений в линейном полуизотропном микрополярном теле

Plane harmonic waves in a hemitropic micropolar body

Abstract

В настоящей работе рассматривается процесс распространения плоских монохроматических связанных волн перемещений и микровращений в линейном полуизотропном микрополярном теле. Получено уравнение для определения волнового числа продольной и поперечной плоской монохроматической волны. Рассмотрено дисперсионное уравнение, получены необходимые условия связанности продольных и поперечных волн перемещений и микровращений. Приведена таблица пересчета скоростей продольной и поперечной волны для различных наборов определяющих констант полуизотропного микрополярного тела. This paper deals with the propagation of plane monochromatic coupled waves of displacement and microrotation in a linear semi-isotropic micropolar body. An equation is obtained for determining the wave number of a longitudinal and transverse plane monochromatic wave. The dispersion equation is considered, and the necessary conditions for the existence of the dependence of the amplitudes of displacements and microrotations for longitudinal and transverse coupled waves are obtained. A table is given for converting the velocities of longitudinal and transverse waves for various sets of material constants of a semi-isotropic micropolar body.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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