 | | 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: | | 13025 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8110
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| In English (Mech. Solids): | | 4915 |
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| E.V. Murashkin and Y.N. Radayev, "Polarization Vectors of Plane Waves in Semi-Isotropic Thermoelastic Micropolar Solids," Mech. Solids. 59 (7), 3880-3887 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
7 |
Pages |
3880-3887 |
| DOI |
10.1134/S0025654424700353 |
| Title |
Polarization Vectors of Plane Waves in Semi-Isotropic Thermoelastic Micropolar Solids |
| 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 present paper deals with problems of propagation of coupled time-harmonic waves of
temperature increment, translational and spinor displacements in a semi-isotropic thermoelastic
solid. The governing couple partial differential equations of semi-isotropic thermoelastic solids are
revisited. Dispersion equations for the wavenumbers of plane harmonic coupled thermoelastic longitudinal waves (bicubic equation) and transverse wave (biquartic equation) are obtained and solved.
The roots of mentioned algebraic equations are calculated and normal wavenumbers are discriminated. The spatial polarizations of coupled time-harmonic thermoelastic waves have been studied. It is
shown that the transverse plane wave carrying the two spatial polarizations in fact does not exist and
can not be observed in semi-isotropic micropolar media due to existence of direct and mirror wavemodes. |
| Keywords |
micropolar thermoelasticity, semi-isotropic solid, translational displacement, spinor displacement, plane time-harmonic wave, longitudinal wave, transverse wave, wavenumber, complex amplitude, phase plane, dispersion equation, polarization vector |
| Received |
10 June 2024 | Revised |
29 July 2024 | Accepted |
26 July 2024 |
| Link to Fulltext |
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