 | | 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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| S. Yu. Veselkov and Yu. M. Dal', "Shear strength of metals in stress concentration regions," Mech. Solids. 36 (2), 85-89 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
2 |
Pages |
85-89 |
| Title |
Shear strength of metals in stress concentration regions |
| Author(s) |
S. Yu. Veselkov (St. Petersburg)
Yu. M. Dal' (St. Petersburg) |
| Abstract |
V. V. Novozhilov's brittle strength criterion [1]
has been investigated and widely applied in the works published in
Russia on the static and the dynamic strength of structural materials.
These works are mainly concerned with tensile cracks spontaneously
spreading in elastic bodies with an ideal crystal lattice [2]
or a simple Bravais lattice with one or two vacancies near
the crack tip [3].
The present paper is dedicated to the analysis of plastic shear appearing
in metals near stress concentrators. The investigation is based on the
Frenkel-Kontorova model [4, 5], which is adapted by the authors
to the case of large tangential stress gradients, the presence of defects
in the form of isolated edge dislocations or dislocation ensembles, and
large displacements of atoms (in comparison with the lattice parameters).
Following the V. V. Novozhilov's concept, we take into account in the model
the discrete character of forces responsible for
the plastic shear of atoms. |
| References |
| 1. | V. V. Novozhilov, "On a necessary and sufficient
criterion of brittle strength," PMM [Applied Mathematics and Mechanics],
Vol. 33, No. 2, pp. 212-222, 1969. |
| 2. | N. F. Morozov and M. V. Paukshto,
Discrete and Combined Models in Fracture Mechanics [in Russian], Izd-vo SPbGU,
St. Petersburg, 1995. |
| 3. | V. N. Kornev and Yu. V. Tikhomirov,
"Deformation and instability of a segment of an atomic chain near a
crack tip", Zh. Prikl. Mech. i Tekhn. Fiziki, No. 3, pp. 160-172, 1993. |
| 4. | Ya. I. Frenkel', Introduction to the Theory of Metals [in Russian],
Nauka, Leningrad, 1972. |
| 5. | A. I. Mel'ker and S. V. Govorov, "On dislocations in two-dimensional
crystals", Izv. AN SSSR. Fizika Tverdogo Tela, Vol. 30, No. 12,
pp. 3597-3604, 1988. |
| 6. | A. Yu. Ishlinskii (Editor), Atomistics of Fracture [Russian
translations], Mir, Moscow, 1987. |
| 7. | A. N. Orlov (Editor), Topical Issues in the Theory of Dislocations
[Russian translations], Mir, Moscow, 1968 |
| 8. | V. L. Indenbom, "Mobility of dislocations in the
Frenkel-Kontorova model", Kristallografiya, Vol. 3, No. 2, pp. 197-205,
1958. |
| 9. | A. K. Head, "The interaction of dislocations with boundaries and
surface films", Austral. J. Phys., Vol. 13, No. 2A, pp. 278-283, 1960. |
| 10. | G. V. Uzhik, Rupture Resistance and Strength of Metals [in Russian],
Izd-vo AN SSSR, Moscow, Leningrad, 1950. |
| 11. | Physics of Metals [in Russian], Izd-vo Metallurgia, Moscow, 1987. |
|
| Received |
12 January 1998 |
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