 | | 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: | | 11223 |
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| D. A. Kulagin and A. M. Lokoshchenko, "Analysis of the influence of a surrounding medium on the long-term strength by using a probabilistic approach," Mech. Solids. 36 (1), 102-110 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
1 |
Pages |
102-110 |
| Title |
Analysis of the influence of a surrounding medium on the long-term strength by using a probabilistic approach |
| Author(s) |
D. A. Kulagin (Moscow)
A. M. Lokoshchenko (Moscow) |
| Abstract |
The long-term fracture of metals subjected to combined
action of mechanical loads and a corrosive surrounding medium is modeled.
Rabotnov's kinetic theory is used, which takes into account two
parameters-damage of a material and concentration of chemical
elements of the surrounding medium in the material. A rod subjected to
tension is considered as an example. The long-term strength
of this rod is investigated by using a probabilistic model.
In accordance with this model, a thin rod is composed of
a large number of closely packed plates. It is assumed that the
probability of fracture of these plates
depends on the stress state and concentration of the
elements of the surrounding medium in the material of the rod. An
approximate solution to the diffusion equation is suggested. This
solution is obtained by dividing the cross section into the
perturbed and unperturbed regions and determining the motion of the
interface between these regions. This
approximation is shown to provide high degree of accuracy. The system of
kinetic equations obtained is used for the analysis of the scale effect of
the long-term strength. A version of Rabotnov's kinetic model is
suggested. This version takes into account the influence of the
surrounding medium on the long-term strength of metals. An example of using
this approach is presented. |
| References |
| 1. | A. M. Lokoshchenko and S. A. Shesterikov, "Modeling of the
environmental effect on creep and long-term strength," Izv. AN. MTT
[Mechanics of Solids], No. 6, pp. 122-131, 1998. |
| 2. | Yu. N. Rabotnov, Creep of Structural Members [in Russian], Nauka,
Moscow, 1966. |
| 3. | K. E. Lebmke, "Motion of subsoil waters and theory of
drainage structures," Zh. Ministerstva Putei Soobshcheniya, No. 2,
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| 6. | S. A. Shesterikov and M. A. Yumasheva, "An approximate
method for evaluating temperature fields," Trudy In-ta Mekhaniki
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| 7. | S. A. Shesterikov and M. A. Yumasheva, "On the problem of
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| 8. | A. A. Il'yushin, "On a theory of long-term strength,"
Izv. AN SSSR. MTT [Mechanics of Solid], No. 3, pp. 21-25, 1967. |
| 9. | A. A. Il'yushin and B. E. Pobedrya, Fundamentals of the
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| 10. | S. A. Shesterikov and A. M. Lokoshchenko, "Creep and
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Moscow, 1980. |
| 11. | V. V. Bolotin, Service Life of Machines and Structures [in
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| 12. | A. M. Lokoshchenko, "Analysis of damage of a material
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| 13. | A. M. Lokoshtchenko, "The investigation of the metal
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| 14. | I. A. Oding and E. G. Fridman, "Role of surface layers in
long-time fracture of metals in the conditions of creep,"
Zavodskaya Laboratoriya, Vol. 25, No. 3, pp. 329-332, 1959. |
| 15. | V. I. Nikitin and M. G. Taubina, "Scale effect at high
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| 16. | V. D. Kurov, G. P. Mel'nikov, and V. D. Tokarev,
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creep conditions for tubes made of Kh18N10T steel at a
temperature of 1123 K," Mashinovedenie, No. 6, pp. 107-109, 1967. |
|
| Received |
12 July 1999 |
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