 | | 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: | | 12977 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
|
| In English (Mech. Solids): | | 4881 |
|
| << Previous article | Volume 59, Issue 5 / 2024 | Next article >> |
| E.V. Murashkin and Yu.N. Radayev, "Plane Thermoelastic Waves in Ultrahemitropic Micropolar Solid," Mech. Solids. 59 (5), 3212-3222 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
5 |
Pages |
3212-3222 |
| DOI |
10.1134/S0025654424700341 |
| Title |
Plane Thermoelastic Waves in Ultrahemitropic Micropolar Solid |
| 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 |
In the present paper we consider problems related to propagation of plane time-harmonic
coupled waves of temperature increment, translational and spinor displacements in an ultrahemitropic
micropolar thermoelastic solid and investigation their wavenumbers. The ultrahemitropic model is
derived from hemitropic. A closed coupled partial differential equations for the temperature increment
and displacements are discussed. Terms of the partial differential equations of coupled micropolar
thermoelasticity are compared with respect to micropolar characteristic length scale. The characteristic equations for the wavenumbers of plane harmonic coupled thermoelastic longitudinal (bicubic
equation) and transverse (biquadratic equation) waves are found and solved. For a longitudinal wave
the complex amplitudes of the temperature increment, translational and spinor displacements are also
coupled, contrary to an athermal (or cold) transverse wave. The thermal part can not be eliminated from a thermoelastic longitudinal wave, whereas the transverse wave is intrinsically athermal and is
called as cold. Algebraic radical expressions for the roots of the characteristic equations are obtained
and normal wavenumbers with a positive real parts are discriminated. |
| Keywords |
micropolar thermoelasticity, ultrahemitropic solid, translational displacement, spinor displacement, plane time-harmonic wave, longitudinal wave, transverse wave, wavenumber, complex amplitude, phase plane, dispersion equation |
| Received |
10 June 2024 | Revised |
29 July 2024 | Accepted |
26 July 2024 |
| Link to Fulltext |
|
| << Previous article | Volume 59, Issue 5 / 2024 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English