 | | 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 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| V. A. Peleshko, "Applied creep theory for bodies with anisotropy due to plastic prestrain," Mech. Solids. 42 (2), 307-320 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
2 |
Pages |
307-320 |
| Title |
Applied creep theory for bodies with anisotropy due to plastic prestrain |
| Author(s) |
V. A. Peleshko (Central Research Institute of Engineering, Russian Space Agency, Pionerskaya 4, Korolev, Moscow reg., 141070, Russia, peleshkobva@inbox.ru) |
| Abstract |
Plastic strains in structures at the stages of manufacturing, testing, and approaching the operation regime cause anisotropic variations in the mechanical properties of materials, including creep strength. We consider the following special but practically important class of loading processes for originally isotropic materials: a simple active plastic strain is followed by a long-term steady-state loading within the elastic limits. To describe the second stage, we present the creep strain deviator in the form of an additive orthogonal decomposition in the directions of the repeated loading and the vector anisotropy. The coefficients in the decomposition are material functions of time, of the intensities of the preliminary and repeated loadings, and of the angle between the directions of these loadings. We obtain conditions on the material functions under which, at any given time instant, there is a one-to-one continuous correspondence between the stress and strain tensors for the model proposed and the boundary-value problem in the generalized statement has a unique solution; we also prove the convergence of the iteration method of elastic solutions used to find this unique solution. The model is identified according to the creep diagrams (under steady-state stresses of different values) determined for the material in the original state and after the plastic prestrain at an angle (zero, extended, and intermediate) to the direction of the repeated loading. We show that our results are in good agreement with the results available in the literature concerning experiments in this class of processes for stainless steel at high temperature. We propose an engineering version of the theory in which only the experimental data for uniaxial tension are used. We discuss the versions of the model for the cases in which the plastic preloading is cyclic (one-dimensional or circular) and the repeated loading is unsteady. |
| References |
| 1. | A. A. Il'yushin, Plasticity (Izd-vo AN SSSR, Moscow, 1963)
[in Russian]. |
| 2. | A. A. Il'yushin, Plasticity (Gostekhizdat, Moscow-Leningrad,
1948) [in Russian]. |
| 3. | V. A. Peleshko, "Deformational Plasticity Theory of Deformationally
Anisotropic Bodies," Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 68-78 (1996) [Mech. Solids. (Engl. Transl.)]. |
| 4. | H. Gajewski, K. Gröger, and K. Zacharias, Nonlinear Operator
Equations and Operator Differential Equations (Mir, Moscow, 1978)
[in Russian]. |
| 5. | Y. Ohashi, M. Kawai. and T. Momose, "Effects of Prior Plasticity
on Subsequent Creep of Type 316 Stainless Steel at Elevated
Temperature," J. Engng. Mater. Technol. 108 (1), 68-74
(1986). |
| 6. | I. I. Vorovich and Yu. P. Krasovskii, "On the Method of Elastic
Solutions," Dokl. Akad. Nauk SSSR 126 (4), 740-743 (1959)
[Soviet Math. Dokl.]. |
| 7. | D. L. Bykov, "On Some Methods for Solving Problems of the Theory
of Plasticity," in Elasticity and Nonelasticity (Izd-vo MGU,
Moscow, 1975), No. 4, pp. 119-139 [in Russian]. |
| 8. | V. A. Peleshko, "Utilization of a Damage Surface for the Description
of Creep and Long-Term Strength in the Case of Complex Loading," Izv.
Akad. Nauk. Mekh. Tverd. Tela, No. 2, 124-138 (2003) [Mech.
Solids. (Engl. Transl.)]. |
| 9. | Yu. P. Kaptelin, "Description of Unsteady Creep of Cold-Work
Hardened Copper," in Creep and Long-Term Strength (Izd-vo SO
AN SSSR, Novosibirsk, 1963), pp. 192-197 [in Russian]. |
| 10. | S. Murakami, M. Kawai, and Y. Yamada, "Creep after Cyclic
Plasticity under Multiaxial Conditions for Type 316 Stainless Steel
at Elevated Temperature," J. Engng. Mater. Technol. 112 (3),
346-352 (1990). |
| 11. | R. A. Vasin, "Constitutive Relations in the Theory of
Plasticity," in Results of Science and Technics, Ser. MDTT
(VINITI, Moscow, 1990), Vol. 21, pp. 3-75 [in Russian]. |
| 12. | A. M. Goodman, "Materials Data for High-Temperature Design," in
Creep of Engineering Materials and Structures, Ed. by
G. Bernasconi and G. Piatti (Applied Sci. Publ., London, 1978)
pp. 289-339. |
| 13. | M. A. Waniewski, "A Simple Law of Steady-State Creep for Material
with Anisotropy Introduced by Plastic Prestraining," Ing.-Arch.
55 (5), 368-375 (1985). |
| 14. | Z. L. Kowalevski, "Effect Plastic Prestrain Magnitude on Uniaxial
Creep of Copper at Elevated Temperatures," Mech. Teor. Stos.
33 (3), 507-517 (1995). |
| 15. | Yu. N. Rabotnov, Creep of Construction Elements (Nauka,
Moscow, 1966) [in Russian]. |
| 16. | V. A. Peleshko, "Construction of Constitutive Relations of
Viscoelasticity and Creep under Unsteady-State and Complex Loadings,"
Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 3, 144-165
(2006) [Mech. Solids. (Engl. Transl.)]. |
| 17. | M. Kawai, "A Description of Creep Anisotropy Induced by Plastic
Prestrain," Trans. JSME, Ser. A 56 (524), 866-874 (1990). |
| 18. | V. P. Radchenko and E. V. Nebogina, "Use of a Structure Model to
Study Numerically the Plastic Strain Influence on the Creep
Strain," in Mathematical Modelling and Boundary-Value
Problems (Proc. 7th Inter-Institute for Higher Education
Conference), Samara, Russia, 1997 (Samara, 1997), Part 1,
pp. 116-120, [in Russian]. |
|
| Received |
29 December 2004 |
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