 | | 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: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| E.V. Murashkin and Yu.N. Radaev, "Coupled Thermoelasticity of Hemitropic Media. Pseudotensor Formulation," Mech. Solids. 58 (3), 802-813 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
3 |
Pages |
802-813 |
| DOI |
10.3103/S0025654423700127 |
| Title |
Coupled Thermoelasticity of Hemitropic Media. Pseudotensor Formulation |
| Author(s) |
E.V. Murashkin (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, evmurashkin@gmail.com)
Yu.N. Radaev (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, radayev@ipmnet.ru) |
| Abstract |
The present paper deals with the problem of deriving the constitutive equations for the micropolar thermoelastic continuum GN-I in terms of the standard pseudotensor formalism. In most cases, the pseudotensor approach is justified in modeling hemitropic micropolar solids, the thermomechanical properties of which are sensitive to mirror reflections of three-dimensional space. The requisite equations and notions from the theory of pseudotensors are revisited. General thermodynamic approaches are used, entropy and energy balance equations are discussed. The weights of the main thermomechanical pseudotensors are established. In a linear approximation, the constitutive equations of the hemitropic micropolar thermoelastic continuum (GN-I) of the first type are derived. A coupled system of differential equations of heat conduction and dynamic equations of the micropolar thermoelastic continuum GN-I is obtained. |
| Keywords |
pseudotensor, thermodynamic potential, coupled thermoelasticity, thermal conductivity, microrotation, displacement, micropolar hemitropic continuum |
| Received |
15 January 2023 | Revised |
22 January 2023 | Accepted |
23 January 2023 |
| Link to Fulltext |
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