 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| M.Ya. Brovman, "On Functional Equations Characterizing Creep Deformation," Mech. Solids. 47 (4), 454-462 (2012) |
| Year |
2012 |
Volume |
47 |
Number |
4 |
Pages |
454-462 |
| DOI |
10.3103/S0025654412040103 |
| Title |
On Functional Equations Characterizing Creep Deformation |
| Author(s) |
M.Ya. Brovman (Open Join-Stock Company "Tsentrosvarmash," Pashi Savel'evoy 47, Tver, 170039, Russia, brovman@mail.ru) |
| Abstract |
A method for analyzing the creep strain and its dependence on the stress, temperature, and time have been considered in many publications (e.g., see [1-3]), where the corresponding references can be found.
The present paper describes an investigation of several functional equations satisfied by the functions describing the time-dependence of the strain. Several solutions of the functional equations are given. |
| Keywords |
creep of metals, deformation, functional equations, stress variation |
| References |
| 1. | Yu. N. Rabotnov,
Creep of Structural Members
(Nauka, Moscow, 1966)
[in Russian]. |
| 2. | A. P. Arshakuni, A. M. Lokoshchenko, V. N. Kiselevskii, et al.,
Laws of Creep and Long-Term Strength, Reference Book,
Ed. by S. A. Shesterikov
(Mashinostroenie, Moscow, 1983)
[in Russian]. |
| 3. | A. M. Lokoshchenko,
Modeling of the Creep Process and Long-Term Strength of Metals
(MGIU, Moscow, 2007)
[in Russian]. |
| 4. | J. Aczel and J. Dombres,
"Functional Equations in Several Variables,"
in Encyclopedia of Mathematics and Its Applications, Vol. 31
(Cambridge Univ. Press, Cambrigde, 1989; Fizmatlit, Moscow, 2003). |
| 5. | A. D. Polyanin, V. F. Zaitsev, and A. I. Zhurov,
Methods of Solution of Nonlinear Equations of Mathemarical Physics and Mechanics
(Fizmatlit, Moscow, 2005)
[in Russian]. |
| 6. | M. Ya. Brovman,
Continuous Casting of Metals
(Ekomet, Moscow, 2007)
[in Russian]. |
| 7. | M. Ya. Brovman, V. Al. Nikolaev, and V. P. Polukhin,
"Strain Resistance of Steel during Roll Ingotless Rolling,"
Met.,
No. 4, 33-40 (2007)
[Russ. Metallurgy (Metally) (Engl. Transl.)
2007 (4), 287-292 (2007)]. |
| 8. | N. S. Koshlaykov, E. B. Gliner, and M. M. Smirnov,
Differential Equations of Mathematical Physics
(Fizmatlit, Moscow, 1962)
[in Russian]. |
| 9. | M. J. Brovman,
"Metodika výpočtu chladicich loži valcovacich trait,"
Hutnické Listy,
No. 1, 33-37 (1977). |
| 10. | M. Ya. Brovman,
"Determination of Sizes of Coolers of Section Iron Mills,"
Izv. Vyssh. Uchebn. Zaved.
Chern. Metallurg.,
No. 2, 34-37 (1986). |
|
| Received |
02 October 2009 |
| Link to Fulltext |
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