 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| E.V. Murashkin and Yu.N. Radayev, "Heat Transfer in Anisotropic Micropolar Solids," Mech. Solids. 58 (9), 3111-3119 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
9 |
Pages |
3111-3119 |
| DOI |
10.3103/S0025654423700255 |
| Title |
Heat Transfer in Anisotropic Micropolar Solids |
| Author(s) |
E.V. Murashkin (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, evmurashkin@gmail.com)
Yu.N. Radayev (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, radayev@ipmnet.ru) |
| Abstract |
The paper is devoted to the theory of an anisotropic micropolar thermoelastic solid. The requisite equations and notions from pseudotensors algebra and multidimensional geometry are revisited. From the beginning we treat translational displacements as an absolute covariant fields whereas spinor displacements as a contravariant pseudovector. The Helmholtz free energy is employed as a thermodynamic state potential of the following functional arguments: absolute temperature, symmetric parts and accompanying vectors of the linear asymmetric strain tensor and the wryness pseudotensor. The constitutive equations for a general anisotropic micropolar thermoelastic solid including gyrotropic one are derived. That means heat flux vector can be treated as a pseudovector of weight +1 (or −1) algebraically consistent to spinor displacements pseudovector. Nonlinear heat conduction equation and its linearized form are obtained. |
| Keywords |
pseudotensor, pseudoinvariant, thermodynamic state potential, coupled thermoelasticity, heat conduction, spinor displacements, translational displacements, micropolar anisotropic continuum, specific heat, heat conduction coefficient, thermal diffusion |
| Received |
10 September 2023 | Revised |
23 October 2023 | Accepted |
12 November 2023 |
| Link to Fulltext |
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