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IssuesArchive of Issues2012-4pp.454-462

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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'evoy47, 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
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