 | | 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 |
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| In English (Mech. Solids): | | 4915 |
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| Y.N. Radaev, "Type-II Thermoelasticity of Linear Anisotropic Micropolar Media," Mech. Solids. 59 (6), 3408-3416 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
6 |
Pages |
3408-3416 |
| DOI |
10.1134/S0025654424700304 |
| Title |
Type-II Thermoelasticity of Linear Anisotropic Micropolar Media |
| Author(s) |
Y.N. Radaev (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, radayev@ipmnet.ru; y.radayev@gmail.com) |
| Abstract |
In this paper, the mechanics of micropolar elastic solids is extended to a more general thermoelastic media in order to take account of the effect of temperature on their states and mechanical
behavior. Since a thermoelastic micropolar medium conducts heat, it is required to include one or
another mechanism of thermal propagation in the basic equations of micropolar thermoelasticity.
A model of thermoelastic micropolar medium CGNII is developed on ground of the wave principle of
heat transfer (i.e., thermal conductivity of the second type known from previous discussions by Green
and Naghdi), characterized by zero internal entropy production. All the basic equations of the theory
presented in this study are derived from the conventional balance equations of continuum mechanics
and the fundamental thermodynamic inequality. Constitutive equations for a linear anisotropic thermoelastic micropolar medium (CGNII) are obtained by using a quadratic energy form for the Helmholtz free energy. Special attention is paid to hemitropic micropolar medium, when the components
of one of the fourth rank constitutive pseudotensors demonstrate sensitivity to mirror reflections of
three-dimensional space. A closed system of coupled differential equations is given in terms of translational displacement vector, spinor displacement vector and thermal displacement. It is important
since can be used in formulations of applied problems of thermomechanics related to the wave heat transfer mechanism in micropolar elastic media. |
| Keywords |
micropolar solid, heat conduction, anisotropy, hemitropy, free energy, constitutive tensor, entropy, entropy production, CGNII thermoelasticity |
| Received |
30 September 2024 | Revised |
06 October 2024 | Accepted |
07 October 2024 |
| Link to Fulltext |
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