 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| O. M. Ostrikov, "Method for Computing the Strain Distribution near a Wedge-Like Twin by Using Macroscopic Dislocation Model Approaches," Mech. Solids. 44 (4), 537-542 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
4 |
Pages |
537-542 |
| DOI |
10.3103/S0025654409040050 |
| Title |
Method for Computing the Strain Distribution near a Wedge-Like Twin by Using Macroscopic Dislocation Model Approaches |
| Author(s) |
O. M. Ostrikov (Sukhoy Gomel State Technical University, pr-t Oktyabrya 48, Gomel, 246746 Republic of Belarus, ostrikov@gstu.gomel.by) |
| Abstract |
We develop a method for calculating the strain distribution near a wedge-like twin with various shapes of the boundaries. The method is based on the use of such a scale level at which one can assume that the distance between the twinning dislocations is infinitely small. We show that the twin boundary bending results in the loss of symmetry in the strain distribution of a wedge-like twin. |
| Keywords |
twin, macroscopic dislocation model, concentrator, Bürgers vector |
| References |
| 1. | O. M. Ostrikov,
"Stress State at the Vertex of a Wedge Twin,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 104-113 (2004)
[Mech. Solids (Engl. Transl.)
39 (2), 82-88 (2004)]. |
| 2. | O. M. Ostrikov,
"Stressed State near a Wedge-Shaped Twin with a Disbalance of Densities of Twinning Dislocations,"
Zh. Prikl. Mekh. Tekh. Fiz.
43 (4), 180-182 (2002)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
43 (4), 638-639 (2002)]. |
| 3. | O. M. Ostrikov,
"Physical Twinning Laws under the Action of External Mutually Orthogonal Electric and Magnetic Fields Applied to Bismuth Monocrystals Radiated by Boron Ions,"
Zh. Tekhn. Fiz.
70 (12), 39-42 (2000). |
| 4. | M. V. Klassen-Nekhlyudova,
Mechanical Twining of Crystals
(Izd-vo AN SSSR, Moscow, 1960; Consultants Bureau, New York, 1964). |
| 5. | A. M. Kosevich and V. S. Boiko,
"Dislocation Theory of the Elastic Twinning of Crystals,"
Uspekhi Fiz. Nauk
104 (2), 201-255 (1971)
[Sov. Phys. Usp. (Engl. Transl)
14 (3), 286-316 (1971)]. |
| 6. | I. M. Lifshits,
"On Macroscopic Description of the Phenomenon of Twinning of Crystals,"
Zh. Vychisl. Mat. Mat. Fiz.
18 (12), 1134-1143 (1948). |
| 7. | I. M. Lifshits and I. V. Obreimov,
"Some Considerations of Twinning in Calcite,"
Izv. Akad. Nauk SSSR. Ser. Fiz.
12 (2), 65-80 (1948). |
| 8. | A. M. Kosevich and L. A. Pastur,
"On the Dislocation Model of a Twin,"
Fiz. Tverd. Tela
3 (4), 1290-1297 (1961). |
| 9. | A. P. Ryabushko, V. V. Barkhatov, V. V. Derzhavets, and I. E. Yurut',
Individual Tasks in Higher Mathematics: Series. Multiple and Curvilinear Integrals. Elements of Field Theory
(Vysshaya Shkola, Moscow, 2004)
[in Russian]. |
| 10. | V. T. Vodnev, A. F. Naumovich, and N. F. Naumovich,
Basic Mathematical Formulas
(Vysheish. Shk., Minsk, 1988). |
| 11. | G. A. Korn and T. M. Korn,
Mathematical Handbook for Scientists and Engineers
(McGraw-Hill, New York, 1968; Nauka, Moscow, 1977). |
| 12. | I. N. Bronshtein and K. A. Semendyaev,
Handbook on Mathematics
(Fizmatlit, Moscow, 1986)
[in Russian]. |
| 13. | J. P. Hirth and J. Lothe,
Theory of Dislocations
(McGraw-Hill, New York, 1968; Atomizdat, Moscow, 1972). |
| 14. | I. I. Novikov and K. M. Rozin,
Crystallography and Crystal Lattice Defects
(Metallurgiya, Moscow, 2004). |
| 15. | O. M. Ostrikov,
"Some Shape Characteristics of Wedgelike Twins in Bismuth Single Crystals Deformed by a Concentrated Load,"
Fiz. Metal. Metalloved.
90 (1), 91-95 (2000)
[Phys. Met. Metallography (Engl. Transl.)
90 (1), 86-90 (2000)]. |
| 16. | O. M. Ostrikov,
"Branching of Wedge Twins in Bismuth Single Crystals Subjected to Deformation
with a Concentrated Load,"
Fiz. Metal. Metalloved.
87 (1), 94-96 (1999)
[Phys. Met. Metallography (Engl. Transl.)
87 (1), 84-86 (1999)]. |
|
| Received |
11 April 2007 |
| Link to Fulltext |
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