 | | 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: | | 12949 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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| In English (Mech. Solids): | | 4853 |
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| E.V. Murashkin and Y.N. Radayev, "Characteristic Constitutive Numbers in Semi-Isotropic Coupled Thermoelasticity," Mech. Solids. 59 (4), 1856-1867 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
4 |
Pages |
1856-1867 |
| DOI |
10.1134/S0025654424700298 |
| Title |
Characteristic Constitutive Numbers in Semi-Isotropic Coupled Thermoelasticity |
| Author(s) |
E.V. Murashkin (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, murashkin@ipmnet.ru)
Y.N. Radayev (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, radayev@ipmnet.ru) |
| Abstract |
In continuum mechanics (especially in hydroaeromechanics), methods of modeling flow (deformation) by characteristic numbers are widely used. The present study is devoted to the search
for characteristic combinations of constitutive thermoelastic modules, geometric and thermomechanical parameters of the boundary value problem. Modeling the micropolar solids deformation by characteristic numbers is characterized by a sufficiently large number (13) of constitutive modules. The
constitutive equations, the dynamic equations and the heat conduction equation for a semi-isotropic
micropolar thermoelastic continuum are derived in a linear approximation. A dimensional analysis of
the governing system of differential equations is carried out. A physically consistent sets (9 primary and
several arbitrary) of dimensionless characteristic combinations of constitutive constants is proposed.
The characteristic numbers for harmonic waves propagating along the axis of a stress free thermally insulated long cylindrical semi-isotropic thermoelastic waveguide are obtained and discussed. |
| Keywords |
thermal conductivity, micropolar thermoelastic solid, semi-isotropic solid, characteristic number, dimensional analysis, nano/microlength, nano/microscale |
| Received |
07 June 2024 | Revised |
03 July 2024 | Accepted |
08 July 2024 |
| Link to Fulltext |
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