 | | 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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| E.B. Zavoychinskaya, "Micro- and Macromechanics of Fracture of Structural Elements," Mech. Solids. 47 (3), 304-323 (2012) |
| Year |
2012 |
Volume |
47 |
Number |
3 |
Pages |
304-323 |
| DOI |
10.3103/S0025654412030053 |
| Title |
Micro- and Macromechanics of Fracture of Structural Elements |
| Author(s) |
E.B. Zavoychinskaya (Lomonosov Moscow State University, GSP-2, Leninskie Gory, Moscow, 119992 Russia, elen@altomira.ru) |
| Abstract |
A mathematical model for the description of bulk microfracture processes in metals, which are understood as nucleation and coalescence of submicrocracks, microcracks, and short nonpropagating microcracks, and of brittle macrofracture processes in metals is presented. This model takes into account the laws of formation and propagation of short propagating, medium, and significant microcracks. The basic notions of this model are the reduced length of cracks and the probability of micro- and macrofracture. The model is based on the mechanical parameters of metal strength and fracture, which are studied experimentally. The expressions for determining the probability in the case of one-dimensional symmetric loading are given. The formulas for determining the threshold number of cycles at the beginning of crack formation are obtained for cracks of each type. For the first time, the data on standard parameters of fatigue strength were used to construct the fatigue curve of metals and alloys for macrocracks. |
| Keywords |
processes of macro- and microfracture of metals, submicrocracks, microcracks, short cracks, macrocracks, fatigue curve of metals |
| References |
| 1. | V. T. Troshchenko (Editor),
Strength of Materials and Structures
(Akademperiodika, Kiev, 2006)
[in Russian]. |
| 2. | V. T. Troshchenko,
Deformation and Fracture of Materials under Multi-Cycle Loading
(Naukova Dumka, Kiev, 1981)
[in Russian]. |
| 3. | Fracture Mechanics and Strength of Materials. Reference Book, Vols. 1-4
(Naukova Dumka, Kiev, 1988)
[in Russian]. |
| 4. | A. Ya. Krasovskii and V. N. Krasiko,
Crack Growth Resistance of Steels of Mail Pipelines
(Naukova Dumka, Kiev, 1990)
[in Russian]. |
| 5. | E. B. Zavoychinskaya and I. A. Kiiko,
Introduction to the Theory of Processes of Solid Fracture
(Izd-vo MGU, Moscow, 2004)
[in Russian]. |
| 6. | E. B. Zavoychinskaya,
"A Model of Description of Microfracture of Metals,"
Probl. Mashinostr. Avtomatizatsii,
No. 1, 60-65 (2009). |
| 7. | B. I. Zavoychinskii and E. B. Zavoychinskaya,
"The Physical Mechanics Micro and Macro Failure of Steels and Alloys
at Cyclic Loading,"
Spravochnik. Inzh. Zh.,
No. 8, (2011). |
| 8. | E. B. Zavoychinskaya, "Micromechanics of the Destruction of
Structural Elements under Cyclic Loading," Spravochnik. Inzh. Zh.,
Pt. 1, No. 3, 41-46 (2010); Pt. 2, No. 7, 16-22 (2010). |
| 9. | V. S. Ivanova and A. A. Shanyavskii,
Quantitative Fractography. Fatigue Fracture
(Metallurgiya, Chelyabinsk, 1998)
[in Russian]. |
| 10. | L. R. Botvina,
Fracture. Kinetics, General Laws
(Nauka, Moscow, 2008)
[in Russian]. |
| 11. | B. I. Zavoychinskii and E. B. Zavoychinskaya,
"Micromechanics of Metal Fracture in Compound Stress State,"
Probl. Mashinostr. Avtomatizatsii,
No. 2, 31-39 (2011). |
|
| Received |
09 September 2009 |
| Link to Fulltext |
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