 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| A. M. Kovrizhnykh, "Limiting stress of metals and the limiting state under creep conditions," Mech. Solids. 44 (2), 269-276 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
2 |
Pages |
269-276 |
| DOI |
10.3103/S0025654409020125 |
| Title |
Limiting stress of metals and the limiting state under creep conditions |
| Author(s) |
A. M. Kovrizhnykh (Institute of Mining, Siberian Branch of Russian Academy of Sciences, Krasny pr-t 54, Novosibirsk, 630091, Russia, akovr@sibmail.ru) |
| Abstract |
We show that, as long as one deals with a plane stress state, the Coulomb-Mohr fracture criterion traditionally used in soil and rock mechanics is in a rather good agreement with the results of fracture experiments for metal materials under the conditions of creep caused by a long-term action of a constant load. We perform statistical analysis to compare the proposed theoretical limiting-stress-fracture-time dependencies with the experimental results given in [1–3] and the results of computations by other authors [1, 4, 5].
Just as in [6], the limiting state arising under the conditions of creep caused by long-term loading is considered in the case of plane strain. We use the solutions of the rigid-plastic problems on the pressure exerted by a flat die on a half-plane and the extension of a strip with angular notches to find the fracture time for the corresponding problems in the setting of a perfectly rigid-creeping body. |
| References |
| 1. | V. P. Sdobyrev, "Long-Term Strength of EI437B Alloy in Complex Stress State," Izv. Akad. Nauk SSSR. OTN. Mekh. Mashinostr., No. 4, 92–97 (1958). |
| 2. | V. P. Sdobyrev, "Long-Term Strength Criterion for Some High-Temperature Alloys in Complex Stress State," Izv. Akad. Nauk SSSR. OTN. Mekh. Mashinostr., No. 6, 93–99 (1959). |
| 3. | I. I. Trunin, "Estimation of Resistance to the Long-Term Fracture and Some Specific Features of Strain in Complex Stress State," Zh. Prikl. Mekh. Tekhn. Fiz., No. 1, 110–114 (1963) [J. Appl. Mech. Tech. Phys. (Engl. Transl.)]. |
| 4. | A. E. Johnson, "Complex-Stress Creep of Metals," Metallurgical Reviews 5(20), 447–506 (1960) [Mekhanika. Period. Sb. Perev. Inostr. Statey (Russ. Transl.), No. 4 (74), 91–145 (1962)]. |
| 5. | A. A. Lebedev, "Generalized Criterion for Long-Term Strength," in Thermostrength of Materials and Structural Members (Naukova Dumka, Kiev, 1965), pp. 69–76 [in Russian]. |
| 6. | Yu. N. Rabotnov, "Influence of Stress Concentration on the Long-Term Strength," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 3, 36–41 (1967) [Mech. Solids (Engl. Transl.)]. |
| 7. | L.M. Kachanov, Theory of Creep (Fizmatgiz, Moscow, 1960) [in Russian]. |
| 8. | Yu. N. Rabotnov, Creep of Construction Elements (Nauka, Moscow, 1966) [in Russian]. |
| 9. | N. N. Malinin, Applied Theory of Plasticity and Creep (Mashinostroenie, Moscow, 1968) [in Russian]. |
| 10. | E. N. Kablov and E. R. Golubovskii, Heat Resistance of Nickel Alloys (Mashinostroenie, Moscow, 1998) [in Russian]. |
| 11. | A. M. Lokoshchenko, V. V. Nazarov, D. O. Platonov, and S. A. Shesterikov, "Analysis of Long-Term Strength Criteria for Metals under Complex Stress State," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 2, 139–149 (2003) [Mech. Solids (Engl. Transl.) 38 (2), 113–121 (2003)]. |
| 12. | O. V. Sosnin, B. V. Gorev, and A. F. Nikitenko, "Enegry Variant of Theory of Creep. 1. Basic Hypotheses and Their Experimental Verification," Probl. Prochn., No. 11, 3–8 (1976) [Strength of Materials (Engl. Transl.) 8 (11), 1255–1260 (1976)]. |
| 13. | A.M. Kovrizhnykh, "Plastic Deformation of Hardering Materials under Complex Loading," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 4, 140–146 (1986) [Mech. Solids (Engl. Transl.) 21 (4), 146–153 (1986)]. |
| 14. | A. M. Kovrizhnykh, "On the Hyperbolicity of Equations in the Theory of Plastic Shear," Dokl. Ross. Akad. Nauk 365(4), 485–487 (1999) [Dokl. Phys. (Engl. Transl.) 44 (4), 238–240 (1999)]. |
| 15. | V. V. Sokolovskii, Statics of Free-Flowing Media (Fizmatgiz, Moscow, 1960) [in Russian]. |
| 16. | R. T. Shield, "Mixed Boundary Value Problems in Soil Mechanics," Quart. Appl. Math. 11(1), 61–75 (1953). |
| 17. | A. M. Kovrizhnykh, "The Question of Metal Embrittlement in Plastic Deformation," Zh. Prikl. Mekh. Tekhn. Fiz., No. 6, 161–168 (1989) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 30 (6), 994–999 (1989)]. |
|
| Received |
13 November 2006 |
| Link to Fulltext |
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