 | | 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 |
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| In English (Mech. Solids): | | 4760 |
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| V.A. Kovalev and Yu.N. Radaev, "Derivation of Energy-Momentum Tensors in Theories of Micropolar Hyperbolic Thermoelasticity," Mech. Solids. 46 (5), 705-720 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
5 |
Pages |
705-720 |
| DOI |
10.3103/S0025654411050062 |
| Title |
Derivation of Energy-Momentum Tensors in Theories of Micropolar Hyperbolic Thermoelasticity |
| Author(s) |
V.A. Kovalev (Moscow City Government University of Management, Sretenka 28, Moscow, 107045 Russia, vlad_koval@mail.ru)
Yu.N. Radaev (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, radayev@ipmnet.ru) |
| Abstract |
In the framework of the classical field theory and using the theory of action variational symmetries, we consider the construction of canonical energy-momentum tensors for a coupled micropolar thermoelastic field taking account of the nonlocality of the Lagrangian density, which is typical of continuum micromechanics. We use the algorithms of group analysis to calculate the Noether currents and the energy-momentum tensors in three cases where the Lagrangian depends on the gradients of field variables of orders not exceeding 1, 2, and 3. In each of these cases, we present explicit formulas for the components of the canonical energy-momentum tensor. We construct the energy-momentum tensor for micropolar thermoelastic bodies in which the heat conduction process is characterized by a generalized heat equation of hyperbolic analytical type. In the equations of micropolar thermoelastic field, all possible restrictions on the microrotations are taken into account. |
| Keywords |
field theory, energy-momentum tensors, micropolar thermoelastic bodies, generalized heat equations, microrotations |
| References |
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|
| Received |
15 January 2010 |
| Link to Fulltext |
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