 | | 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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| M. Ya. Brovman, "On the stressed state under plastic strain near surfaces with edges," Mech. Solids. 40 (5), 134-143 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
5 |
Pages |
134-143 |
| Title |
On the stressed state under plastic strain near surfaces with edges |
| Author(s) |
M. Ya. Brovman (Tver) |
| Abstract |
When determining stresses in problems of cutting and wedging of solids or
crack propagation in solids, one often considers the stressed state close
to surfaces with edges, e.g., near protrusions with corners or near holes
or notches [1-3].
Surfaces forming an acute angle at the vertex (or a zero angle if they
touch each other) are used in mechanics of cracks [2]. Elasticity theory
sometimes predicts infinite stresses at such points. In a number of
problems, one takes into account the onset of small plastic regions near
crack tips [2, 3].
These problems are important in the analysis of metal delamination in thick
plate rolling [4]. The solution of the problem on the flow past a corner
formed by two straight lines is given in [5].
In the present paper, we consider rigid-plastic flows about surfaces with
edges in curvilinear coordinates. |
| References |
| 1. | V. Z. Parton and E. M. Morozov, Mechanics of Elastoplastic Fracture
[in Russian], Nauka, Moscow, 1974. |
| 2. | J. F. Knott, Fundamentals of Fracture Mechanics, Butterworths,
London, 1973. |
| 3. | V. V. Sokolovskii, Plasticity Theory [in Russian], Vyssh. Shkola,
Moscow, 1991. |
| 4. | M. Ya. Brovman, Applications of Plasticity Theory in Rolling [in
Russian], Metallurgiya, Moscow, 1991. |
| 5. | M. Ya. Brovman, "On the solution of the plastic flow equations in
curvilinear coordinates," Izv. RAN. MTT [Mechanics of Solids], No. 4,
pp. 86-97, 2004. |
| 6. | N. Kh. Ibragimov, Experience in Group Analysis of Ordinary
Differential Equations [in Russian], Znanie, Moscow, 1991. |
| 7. | L. D. Landau and E. M. Lifshits, Elasticity [in Russian], Nauka,
Moscow, 1965. |
| 8. | M. Ya. Brovman, "Analysis of temperature conditions of
complex-shape billets," Izv. Vyssh. Shkoly. Chern. Metallurg., No. 9,
pp. 28-31, 2001. |
|
| Received |
22 December 2003 |
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