 | | 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. I. Iskakbaev and A. A. Iskakbaeva, "On the Influence of Cracks on the Durability of Aging Bodies," Mech. Solids. 38 (5), 100-105 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
5 |
Pages |
100-105 |
| Title |
On the Influence of Cracks on the Durability of Aging Bodies |
| Author(s) |
A. I. Iskakbaev (Alma-aty)
A. A. Iskakbaeva (Alma-aty) |
| Abstract |
We examine the influence of micro and macro defects on the durability of viscoelastic bodies the material of which is subject to aging. Our investigation is based on the Rabotnov-Kachanov theory of damage accumulation combined with Cherepanov's theory of brittle fracture. The kinetic equations of damage accumulation are represented in the form of Volterra integral equations of the second kind. This form of equations allows us to express the damage kernel in terms of the characteristics of crack resistance of the material. Zhurkov and Kachanov-Rabotnov formulas are generalized to the case of a micro-crack affecting the long-term strength of the material. It is shown that there is no crack growth, if the stress intensity factor is less than some threshold value. |
| References |
| 1. | A. A. Kaminskii, Polymer Fracture Mechanics [in Russian], Naukova Dumka, Kiev, 1988. |
| 2. | B. V. Kostrov, L. V. Nikitin, and L. M. Flitman,
"Crack propagation in elastic-plastic bodies," Izv. AN SSSR.
Fizika Zemli, No. 7, pp. 20-35, 1970. |
| 3. | M. B. Akhundov, L. V. Nikitin, and Yu. V. Suvorova,
"A kinetic model of crack development in media with damage,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 5, pp. 128-138, 1986. |
| 4. | V. M. Pestrikov, "Fracture criteria for viscoelastic aging solids,"
Izv. AN. MTT [Mechanics of Solids], No. 3, pp. 86-96, 1999. |
| 5. | L. M. Kachanov, Basic Principles of Fracture Mechanics [in Russian],
Nauka, 1974. |
| 6. | Yu. N. Rabotnov, An Introduction to Fracture Mechanics [in Russian], Nauka, Moscow, 1987. |
| 7. | G. P. Cherepanov, Mechanics of Brittle Fracture [in Russian], Nauka, Moscow, 1974. |
| 8. | A. I. Iskakbaev, "On a model of long-term strength of materials,"
Vestn. Kazan. Univ.. Ser. Mat., Mech., Informat., No. 9, pp. 66-77, 1998. |
| 9. | S. N. Zhurkov and B. N. Narzullaev, "Time history of the strength of solids,"
Zh. Tekhn. Fiz., Vol. 23, No. 10, pp. 1677-1689, 1953. |
| 10. | V. Z. Parton, Fracture Mechanics: From Theory to Practice [in Russian], Nauka, Moscow, 1990. |
| 11. | Yu. N. Rabotnov, Solid Mechanics [in Russian], Nauka, Moscow, 1988. |
| 12. | V. I. Kornev, "A hierarchy of strength criteria for structured brittle media," Zh. Prikl. Mekhaniki i Tekhn. Fiziki, Vol. 41, No.2, pp. 177-187, 2000. |
| 13. | E. M. Morozov and Ya. B. Fridman, "Crack analysis as a method for estimating fracture characteristics," Zavodskaya Laborator., No. 8, pp. 977-984, 1966. |
| 14. | V. V. Novozhilov, "On the necessary and sufficient condition of brittle strength," PMM [Applied Mathematics and Mechanics], Vol. 33, No. 2, pp. 212-222, 1969. |
| 15. | Yu. V. Suvorova, "On a strength criterion based on cumulative damage and its applications to composite materials," Izv. AN SSSR.
MTT [Mechanics of Solids], No. 4, pp. 107-111, 1979. |
|
| Received |
01 February 2001 |
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