 | | 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: | | 12977 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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| In English (Mech. Solids): | | 4881 |
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| L.V. Fomin, A.A. Dalinkevich, and Yu.G. Basalov, "On The Influence of a Non-Classical Diffusion Process on the Long-Term Fracture of a Composite Tensile Rod During Creep," Mech. Solids. 59 (5), 2735-2745 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
5 |
Pages |
2735-2745 |
| DOI |
10.1134/S0025654424603471 |
| Title |
On The Influence of a Non-Classical Diffusion Process on the Long-Term Fracture of a Composite Tensile Rod During Creep |
| Author(s) |
L.V. Fomin (Research Institute of Mechanics of Lomonosov Moscow State University, Moscow, 119192 Russia, fleonid1975@mail.ru)
A.A. Dalinkevich (Research Institute of Mechanics of Lomonosov Moscow State University, Moscow, 119192 Russia; Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, Moscow, 119071 Russia, dalinckevich@yandex.ru)
Yu.G. Basalov (Research Institute of Mechanics of Lomonosov Moscow State University, Moscow, 119192 Russia, basalov@yandex.ru) |
| Abstract |
The stress-strain state is considered and the time to fracture of a composite tensile rod
during creep in an active medium is determined. The influence of the active medium is determined by
a non-classical diffusion process, with the active substance penetrating into the material in two states:
free and bound. The process of such diffusion is described by a modified diffusion equation that takes
into account the two-phase state of the active substance in the material. A system of equations has been
obtained that models the creep of a composite rod, in which its parts are rigidly connected to each
other without slipping, and also includes kinetic equations for the accumulation of damage in parts of
the rod. The influence of the active medium is taken into account by introducing into the indicated
kinetic equations the function of the influence of the active medium - a function of the integral average
concentration. Stress distributions and damage accumulation processes over time in various parts of
the composite rod are analyzed. Calculations were carried out in two cases, namely, classical and non-classical diffusion processes are considered. The setting of these differences is determined by the
choice of appropriate parameters in the diffusion model under consideration. Dependences of damage
accumulation and stress distribution in parts of the rod over time were obtained.
As a result, it was determined that the destruction of a composite rod in the classical case occurs earlier than in the case of the considered non-classical diffusion process. |
| Keywords |
composite tensile rod, active medium, non-classical diffusion, creep, kinetic theory of Yu.N. Rabotnov, damage, long-term fracture, time to fracture |
| Received |
15 February 2024 | Revised |
22 March 2024 | Accepted |
24 April 2024 |
| Link to Fulltext |
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