 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 47, Issue 2 / 2012 | Next article >> |
| A.M. Kovrizhnykh, "Deformation and Fracture of a Material in One-Dimensional Elastoplastic Problems," Mech. Solids. 47 (2), 234-241 (2012) |
| Year |
2012 |
Volume |
47 |
Number |
2 |
Pages |
234-241 |
| DOI |
10.3103/S0025654412020100 |
| Title |
Deformation and Fracture of a Material in One-Dimensional Elastoplastic Problems |
| Author(s) |
A.M. Kovrizhnykh (Institute of Mining, Siberian Branch of the Russian Academy of Sciences, Krasny pr-t 54, Novosibirsk, 630091 Russia, amkovr@mail.ru) |
| Abstract |
The ideal plasticity model based on the Tresca-Saint-Venant criterion is used to solve one-dimensional problems of deformation and fracture of solids with circular boundaries. A thick-walled cylinder and a hollow sphere under pressure, cylindrical and hollow cavities in an unbounded body, and uniform extension at infinity of a plate with a free circular hole are considered. In simple elastoplastic problems, the proposed approach allows one to determine the value of the maximum external load at the fracture initiation and the motion of the fracture front for a given displacement of points of the contour on which this load acts. |
| Keywords |
elastoplastic material, fracture front, ultimate shear plastic strain |
| References |
| 1. | L. M. Kachanov,
Foundations of the Theory of Plasticity
(Nauka, Moscow, 1969; North-Holland, Amsterdam, 1971). |
| 2. | V. V. Sokolovskii,
The Theory of Plasticity
(Vysshaya Shkola, Moscow, 1969)
[in Russian]. |
| 3. | A. Yu. Ishlinskii and D. D. Ivlev,
The Mathematical Theory of Plasticity
(Fizmatlit, Moscow, 2001)
[in Russian]. |
| 4. | N. S. Bulychev,
Mechanics of Underground Structures
in Examples and Problems
(Nedra, Moscow, 1989)
[in Russian]. |
| 5. | R. V. Goldshtein,
"Fracture in Compression,"
Uspekhi Mekh.
2 (2), 3-20 (2003). |
| 6. | R. V. Goldstein and N. M. Osipenko,
"Fracture Structures under Conditions of Intensive Compression,"
in Problems of Mechanics of Deformable Solids and Rocks
(Fizmatlit, Moscow, 2006)
[in Russian]. |
| 7. | R. V. Goldstein, N. M. Osipenko, and A. V. Chentsov,
"To Determination of the Strength of Nanodimensional Objects,"
Izv. Akad. Nauk, Mekh. Tverd. Tela,
No. 3, 164-181 (2008)
[Mech. Solids (Engl. Transl.)
43 (3), 453-469 (2008)]. |
| 8. | 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)]. |
| 9. | A. M. Kovrizhnykh,
"Modification of the Theory of Plastic
Flow Based on a Shear-Strain Mechanism,"
Zh. Prikl. Mekh. Tekhn. Fiz.,
23 (6), 133-138 (1982)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
23 (6), 860-865 (1982)]. |
| 10. | A. M. Kovrizhnykh,
"Limiting Stresses and Strains around Unsupported Mine Workings,"
Fiz.-Tekh. Probl. Razrab. Polez. Iskopaemykh,
No. 2, 28-34 (1984)
[J. Mining Sci. (Engl. Transl.)
20 (2), 94-100 (1984)]. |
|
| Received |
12 September 2009 |
| Link to Fulltext |
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