 | | 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: | | 12788 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8028
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| In English (Mech. Solids): | | 4760 |
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| E.V. Murashkin and Y.N. Radayev, "On Algebraic Triple Weights Formulation of Micropolar Thermoelasticity," Mech. Solids. 59 (1), 555-580 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
1 |
Pages |
555-580 |
| DOI |
10.1134/S0025654424700274 |
| Title |
On Algebraic Triple Weights Formulation of Micropolar Thermoelasticity |
| Author(s) |
E.V. Murashkin (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, evmurashkin@gmail.com)
Y.N. Radayev (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, radayev@ipmnet.ru) |
| Abstract |
In the present paper triple formulation of the thermomechanics of hemitropic micropolar solids are proposed and then reduced to the three positive, negative and zero weights variants. The fundamental concepts of pseudoinvariant volume and area elements of odd integer weights in three-dimensional space are discussed. The developed theory of hemitropic micropolar thermoelasticity is formulated in terms of a contravariant pseudovector of a positive odd weight representing spinor displacements, subject to the principle of absolute invariance of absolute thermodynamic temperature, mass and specific entropy, specific internal energy, specific Helmholtz free energy, specific controllable and uncontrollable entropy production. triple weights pseudotensor formulations of the principle of virtual displacements and the reduced energy balance equation are discussed. Corresponding differential equations of statics and dynamics of a hemitropic thermoelastic solid are obtained and analyzed. The sensibility of shear modulus of elasticity and characteristic microlength to re-orientations of three-dimensional space are revisited. |
| Keywords |
algebraic weight, pseudotensor, nanoscale, microscale, heat conduction, micropolarity, tensor volume element, triple weights formulation, heat flux pseudovector, mirror reflection, hemitropic solid, nano/micro length |
| Received |
10 December 2023 | Revised |
23 December 2023 | Accepted |
27 December 2023 |
| Link to Fulltext |
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