 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 40, Issue 6 / 2005 | Next article >> |
| S. E. Aleksandrov and R. V. Goldstein, "Some features of the application of the upper bound theorem to viscous materials," Mech. Solids. 40 (6), 36-41 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
6 |
Pages |
36-41 |
| Title |
Some features of the application of the upper bound theorem to viscous materials |
| Author(s) |
S. E. Aleksandrov (Moscow)
R. V. Goldstein (Moscow) |
| Abstract |
We consider specific features of the application of the upper bound theorem
to two classes of materials (viscous materials and composites consisting of
a viscous and a perfectly rigid-plastic material) for the special form of
boundary conditions: the surface of the solid is stress-free everywhere
except for a friction surface. It is shown that an upper bound for the
required deforming force can be obtained for viscous materials but cannot
be obtained for composites. For the latter class of materials, an
approximate method is suggested. A numerical solution for an illustrative
example is obtained. |
| References |
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Mashinostroenie, Moscow, 1986. |
| 2. | R. Hill, "New horizons in the mechanics of solids," J. Mech.
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| 3. | Y. Tomita and R. Sowerby, "An approximate analysis for studying
the plane strain deformation of strain rate sensitive materials," Int. J.
Mech. Sci., Vol. 21, pp. 505-516, 1979. |
| 4. | B. A. Drujanov and R.I. Nepershin, Theory of Technological
Plasticity [in Russian], Mashinostroenie, Moscow, 1990. |
| 5. | R. Hill, "A general method of analysis for metalworking
processes," J. Mech. Phys. Solid., Vol. 11, pp. 305-326, 1963. |
| 6. | L. M. Kachanov, "Creep of a thin layer compressed between rigid
plates," Izv. AN SSSR. OTN. Mekhanika i Mashinostroenie , No. 6,
pp. 138-140, 1960. |
| 7. | S. E. Aleksandrov, V. I. Danilov, and N. N. Chikanova, "On the
stagnation zone in a simulation of axisymmetric pressure metal forming
under creep," Izv. RAN. MTT [Mechanics of Solids], No. 1, pp. 149-151,
2000. |
| 8. | S. Alexandrov, "An analysis of the axisymmetric compression of
viscous materials," J. Mater. Proc. Technol., Vol. 105, No. 3,
pp. 278-283, 2000. |
| 9. | R. Sliwa, "A test determining the ability of different materials
to undergo simultaneous plastic deformation to produce metal composites,"
Mater. Sci. Engng., Vol. A135, pp. 59-265, 1991. |
| 10. | S. Alexandrov, G. Mishuris, and W. Miszuris, "An analysis of the
plane-strain compression of a three layer strip," Arch. Appl. Mech.,
Vol. 71, No. 8, pp. 555-566, 2001. |
| 11. | S. Alexandrov and O. Richmond, "Singular plastic flow fields near
surfaces of maximum friction stress," Int. J. Non-Linear Mech., Vol. 36,
No. 1, pp. 1-11, 2001. |
| 12. | A. N. Banketov, J. A. Bocharov, N. S. Dobrinskii, E. N. Lanskii,
V. F. Prais, and I. Ya Trofimov, Press-Forging Equipment [in Russian],
Mashinostroenie, Moscow, 1970. |
|
| Received |
04 June 2005 |
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