 | | 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
|
| In English (Mech. Solids): | | 4915 |
|
| << Previous article | Volume 59, Issue 6 / 2024 | Next article >> |
| E.V. Murashkin and Yu.N. Radayev, "Wavenumbers of Doublet and Triplet Plane Thermoelastic Wave in Ultraisotropic Micropolar Medium," Mech. Solids. 59 (6), 3681-3690 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
6 |
Pages |
3681-3690 |
| DOI |
10.1134/S0025654424700365 |
| Title |
Wavenumbers of Doublet and Triplet Plane Thermoelastic Wave in Ultraisotropic Micropolar Medium |
| Author(s) |
E.V. Murashkin (Ishlinsky Institute of Problems of Mechanics RAS, Moscow, 119526 Russia, murashkin@ipmnet.ru)
Yu.N. Radayev (Ishlinsky Institute of Problems of Mechanics RAS, Moscow, 119526 Russia, radayev@ipmnet.ru) |
| Abstract |
In this paper we consider problems related to propagation of coupled plane time-harmonic
waves of temperature increment, translational and spinor displacements in an ultraisotropic micropolar thermoelastic solid and calculate their wavenumbers. The ultraisotropic model is derived from an
isotropic solid as it’s simplification. The proposed model is characterized by constitutive tensors
treated as those with constant components. A closed coupled system of second-order partial differential equations with respect to the temperature increment and displacement vectors is obtained. Characteristic equations for wavenumbers of plane harmonic coupled thermoelastic longitudinal (bicubic equation) and transverse (biquadratic equation) waves are found and analyzed. The longitudinal wave (as a triplet wave comprising translational displacements wave, spinor displacements wave, temperature wave) and cold transverse wave (as a doublet wave of translational and spinor displacements)
propagating in an ultraisotropic micropolar thermoelastic solid are investigated. Algebraic expressions
for the characteristic equations roots are found and normal wavenumbers are discriminated. |
| Keywords |
micropolar thermoelasticity, ultraisotropic solid, translational displacement, spinor displacement, plane time-harmonic wave, longitudinal wave, transverse wave, wavenumber, complex amplitude, phase plane, dispersion equation, polarization vector |
| Received |
16 July 2024 | Revised |
29 August 2024 | Accepted |
22 September 2024 |
| Link to Fulltext |
|
| << Previous article | Volume 59, Issue 6 / 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