 | | Mechanics of Solids A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544 Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13362 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
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| In English (Mech. Solids): | | 5184 |
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| E.V. Murashkin and Y.N. Radayev, "Mirror Wave Modes of Time-Harmonic Monochromatic Plane Waves in Hemitropic Elastic Micropolar Media," Mech. Solids. 60 (5), 3566-3575 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
3566-3575 |
| DOI |
10.1134/S0025654425700025 |
| Title |
Mirror Wave Modes of Time-Harmonic Monochromatic Plane Waves in Hemitropic Elastic Micropolar Media |
| Author(s) |
E.V. Murashkin (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, murashkin@ipmnet.ru)
Y.N. Radayev (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, radayev@ipmnet.ru) |
| Abstract |
The paper is devoted to propagation of time-harmonic mirror wave modes in hemitropic
micropolar media. Dynamics equations of a hemitropic micropolar elastic solid are formulated in
terms of pseudotensors formalism. Transformation formulae for translational and spinor displacements, differential pseudovector operators and constitutive pseudoscalars for the cases of space inversion and mirror reflection relative to a given plane are obtained. Simultaneous existence of the direct,
inverse and mirror reflected wave modes of propagating plane waves is predicted. Plane wave propagating in hemitropic micropolar elastic media comprises the three types of wave modes: direct, inverse
and mirror. Algorithm for transformation direct wave modes into inverse and mirror modes of spinor
and translational displacements is proposed. |
| Keywords |
pseudotensor, fundamental orienting pseudoscalar, constitutive pseudoscalar, micropolar hemitropic continuum, wave, wave mode, inverse mode, mirror mode |
| Received |
07 June 2025 | Revised |
03 July 2025 | Accepted |
08 July 2025 |
| Link to Fulltext |
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