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A.M. Simonyan, "A Nonlinear Creep Model Based on the Concept of Slip," Mech. Solids. 46 (6), 922-928 (2011)
Year 2011 Volume 46 Number 6 Pages 922-928
DOI 10.3103/S0025654411060112
Title A Nonlinear Creep Model Based on the Concept of Slip
Author(s) A.M. Simonyan (Institute of Mechanics, National Academy of Sciences of Republic of Armenia, Marshal Baghramian ave., 24B, Erevan, 375019 Republic of Armenia, simonyanared@mail.ru)
Abstract Relations between the creep strain and the stress are obtained for a complex stress state on basis of the hypothesis that the tangent strain components depend, in a certain slip system, only on the history of variation of the corresponding shear stress component. It is assumed that the slip system orientation is chaotically distributed over all directions and the total strain of the polycrystal is considered as the sum of contributions of all slips. This permits describing the creep strains in an arbitrary stress state by using a common operator defining the dislocation slip in a certain slip system. The model can be used for arbitrary creep operators. Computational results are analyzed and compared with experimental data obtained by other authors.
Keywords creep, polycrystals, slip system
References
1.  A. M. Simonyan and N. M. Simonyan, "To the Problem of Monocrystal Rheology," Izv. Akad. Armyan. SSR Ser. Mekh., No. 4, 38-48 (1985).
2.  A. M. Simonyan, Some Issues of Creep (Gitutyun, Erevan, 1999) [in Russian].
3.  A. M. Simonyan, "Study of Creep of Aluminum Monocrystals," Izv. Akad. Armyan. SSR Ser. Mekh., No. 4, 27-40 (1979).
4.  L. M. Kachanov, The Theory of Creep (Fizmatgiz, Moscow, 1960; Nat. Lending Lib., 1967).
5.  N. N. Malinin, Applied Theory of Plasticity and Creep (Mashinostroenie, Moscow, 1968) [in Russian].
6.  Yu. N. Rabotnov, Creep Problems in Structural Members (Nauka, Moscow, 1966; North-Holland, Amsterdam, 1969).
7.  I. I. Trunin, "Creep of Heat-Resistant Steel in Complex Stress State," Zh. Prikl. Mekh. Tekhn. Fiz. 3 (5), 159-162 (1962) [J. Appl. Mech. Tech. Phys. (Engl. Transl.)].
8.  V. S. Namestnikov, "Creep of Duraluminum under Conditions of Complex Stress State," Zh. Prikl. Mekh. Tekhn. Fiz. 1 (2), 157-162 (1960).
9.  I. A. Oding and G. A. Tulyakov, "Creep of Austenitic Steel in a Complex Stress State," Izv. Akad. Nauk SSSR. OTN. Mekh. Mashinostr., No. 1, 3-10 (1958).
10.  V. S. Namestnikov, "On Creep under Constant Loads under Conditions of Complex Stress State," Izv. Akad. Nauk SSSR. OTN. Mekh. Mashinostr., No. 4, 141-146 (1957).
Received 21 October 2009
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