 | | 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: | | 12949 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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| In English (Mech. Solids): | | 4853 |
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| E.V. Murashkin and Yu.N. Radayev, "Coupled Harmonic Plane Waves in a Semi-Isotropic Thermoelastic Medium," Mech. Solids. 59 (4), 2387-2394 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
4 |
Pages |
2387-2394 |
| DOI |
10.1134/S0025654424700316 |
| Title |
Coupled Harmonic Plane Waves in a Semi-Isotropic Thermoelastic Medium |
| Author(s) |
E.V. Murashkin (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, murashkin@ipmnet.ru)
Yu.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 plane harmonic coupled waves of temperature increment, translational and spinor displacements in a semi-isotropic thermoelastic
solid. The requisite constitutive and differential equations of semi-isotropic solids are revisited. Dispersion equation for the wavenumbers of plane harmonic coupled thermoelastic longitudinal waves
(bicubic algebraic equation) are obtained and analyzed. Dispersion equations for the transverse waves
(equation of the 8th algebraic degree) are splitted into two algebraic quartic equations and then solved.
For a longitudinal wave, the complex amplitudes of temperature increment, translational displacements and spin–vector are coupled, unlike a transverse wave. The roots of mentioned algebraic equations are calculated by using the Wolfram Mathematica 13 symbolic computing system. The normal
wavenumbers with positive real part are discriminated. |
| Keywords |
micropolar thermoelasticity, semiisotropic solid, translational displacement, spinor displacement, plane harmonic wave, longitudinal wave, transverse wave, wavenumber, complex amplitude, phase plane, dispersion equation |
| Received |
10 May 2024 | Revised |
23 May 2024 | Accepted |
27 June 2024 |
| Link to Fulltext |
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