 | | 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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| A.G. Knyazeva and M.A. Mikolaychuk, "Saturation of a Plate with an Environmental Impurity under Mechanical Loading Conditions," Mech. Solids. 46 (5), 692-704 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
5 |
Pages |
692-704 |
| DOI |
10.3103/S0025654411050050 |
| Title |
Saturation of a Plate with an Environmental Impurity under Mechanical Loading Conditions |
| Author(s) |
A.G. Knyazeva (Institute of Strength Physics and Materials Science, Siberian Branch of Russian Academy of Sciences, Akademicheskii pr-t 2/4, Tomsk, 634021 Russia, anna@ispms.tsc.ru)
M.A. Mikolaychuk (Institute of Strength Physics and Materials Science, Siberian Branch of Russian Academy of Sciences, Akademicheskii pr-t 2/4, Tomsk, 634021 Russia, mishas@ispms.tsc.ru) |
| Abstract |
We analyze a model of saturation of a thin plate with an alloying element under uniform loading with a distributed constant load. The appearance of internal stresses accompanying the diffusion processes is taken into account as well as the effect of the stresses on the mass transfer. The exact solution of the mechanical equilibrium problem has allowed us to reduce the model to a nonlinear diffusion problem with a convective term responsible for mass transfer under the action of stresses. We have found that the external loading significantly affects the process if the magnitude of the distributed load is greater than that of the internal stresses, which, in turn, depends on the material properties and the diffusant type. The time-dependence curves of the average strains in the direction of the acting load are typical of the phenomena of diffusion creep. |
| Keywords |
plane stress state, diffusion, coupled problem |
| References |
| 1. | G. D. C. Kuiken,
Thermodynamics of Irreversible Processes.
Applications to Diffusion and Rheology
(Wiley, New York, 1994). |
| 2. | Ya. E. Geguzin,
Diffusion Zone
(Nauka, Moscow, 1979)
[in Russian]. |
| 3. | N. I. Bezukhov,
Foundations of the Theory of Elasticity, Plasticity, and Creep
(Vyssh. Shkola, Moscow, 1961)
[in Russian]. |
| 4. | B. A. Boley and J. H. Weiner,
Theory of Thermal Stresses
(Wiley, New York, 1960; Mir, Moscow, 1964). |
| 5. | V. S. Eremeev,
Diffusion and Stresses
(Energoatomizdat, Moscow, 1984)
[in Russian]. |
| 6. | T. D. Shermergor,
Theory of Elasticity of Micro-Inhomogeneous Media
(Nauka, Moscow, 1977)
[in Russian]. |
| 7. | A. G. Knyazeva,
"Diffusion and Rheology in Locally Equilibrium Thermodynamics,"
Mat. Modelirovanie Sist. Prots., No. 13, 45-60 (2005). |
| 8. | A. G. Knyazeva,
"Cross Effects in Solid Media with Diffusion,"
Zh. Prikl. Mekh. Tekhn. Fiz.
44 (3), 85-99 (2003)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
44 (3), 373-384 (2003)]. |
| 9. | A. G. Knyazeva,
Introduction to Locally Equilibrium Thermodynamics
of Physical and Chemical Transformations in Deformable Media
(Izd-vo TGU, Tomsk, 1996)
[in Russian]. |
| 10. | A. G. Knyazeva and Ya. G. Donskaya,
"A Diffusion-Deformation Model for the Growth of a Spherical Nucleus
of a Solid-State Reaction Product,"
Fiz. Goreniya Vzryva
33 (2), 52-68 (1997)
[Comb. Expl. Shock Waves (Engl. Transl.)
33 (2), 168-182 (1997)]. |
|
| Received |
22 August 2008 |
| Link to Fulltext |
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