 | | 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. V. Mikhailova, "Compression of a plastic layer by curved and inclined rough plates," Mech. Solids. 37 (2), 82-87 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
2 |
Pages |
82-87 |
| Title |
Compression of a plastic layer by curved and inclined rough plates |
| Author(s) |
M. V. Mikhailova (Cheboksary) |
| Abstract |
Ludwig Prandtl [1] has solved a plane problem of compression of an ideal
rigid-plastic layer by rough plates. Later, A. Nadai [2] extended
Prandtl's solution to the case of the layer compressed by inclined
rough plates as well as plates curved in the form of concentric circles.
R. Hill [3] suggested the solution of the problem of indentation of a rod
in the form of shell subject to compression. Some generalizations of
Prandtl's problem to the cases of axisymmetric and 3D flows were given
in [4-7]. The flow of plastic layer between rough surfaces was
investigated by A. A. Il'yushin [8, 9]. In [10], the problem of compression
of a circular plastic layer by rough plates was considered. |
| References |
| 1. | L. Prandtl, "Examples of the application of the Hencky's theory to
the equilibrium of plastic solids," in Theory of Plasticity [Russian
translation], pp. 102-113, Izd-vo Inostr. Lit-ry, Moscow, 1948. |
| 2. | A. Nadai, Plasticity and Fracture of Solids [Russian translation],
Izd-vo Inostr. Lit-ry, Moscow, 1954. |
| 3. | R. Hill, Mathematical Theory of Plasticity [Russian translation],
Gostekhizdat, Moscow, 1956. |
| 4. | D. D. Ivlev, Theory of Ideal Plasticity [in Russian], Nauka, Moscow,
1966. |
| 5. | D. D. Ivlev, "On the 3D flow of an ideally plastic material
compressed by rough plates," Izv. AN. MTT [Mechanics of Solids], No. 1,
pp. 5-12, 1998. |
| 6. | D. D. Ivlev, "On the generalization of Prandtl's and Hartman's
solutions to the case of 3D state of ideal plastic media,"
Izv. ITA ChR. Cheboksary, No. 3(4)-2(7), pp. 43-54, 1996, 1997. |
| 7. | M. A. Zadoyan, Tree-dimensional Problems in the Theory of
Plasticity [in Russian], Nauka, Moscow, 1992. |
| 8. | A. A. Il'yushin, "Issues of the theory of a flow of a plastic
substance along surfaces," PMM [Applied Mathematics and Mechanics],
Vol. 18, No. 3, pp. 265-268, 1954. |
| 9. | A. A. Il'yushin, "Complete plasticity in processes of flow between
rigid surfaces: Sand analogy and its applications," PMM [Applied Mathematics
and Mechanics], Vol. 19, No. 6, pp. 693-713, 1955. |
| 10. | I. P. Grigor'ev, Compression of Circular Plastic Layer
by Rough Plates. Preprint [in Russian], ChGPU, Cheboksary, 1998. |
|
| Received |
10 December 1999 |
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