 | | 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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| << Previous article | Volume 40, Issue 5 / 2005 | Next article >> |
| B. G. Mironov, "On the statically determinate relations in the general 2D perfect plasticity problem," Mech. Solids. 40 (5), 102-106 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
5 |
Pages |
102-106 |
| Title |
On the statically determinate relations in the general 2D perfect plasticity problem |
| Author(s) |
B. G. Mironov (Cheboksary) |
| Abstract |
The relations of the general 2D problem, including the plane and antiplane
deformation relations as special cases, are considered in [1] under the
full plasticity condition. The limiting states of a perfectly plastic
half-space under indentation by a punch were studied in [2, 3] in the
framework of the general 2D problem with shear stresses taken into account.
The relations of the general 2D problem under the full plasticity condition
for nonhomogeneous media were analyzed in [4, 5].
The present paper studies statically determinate relations in the general
2D perfect plasticity problem for the cases in which the limit-state
condition does not coincide with the full plasticity condition. For the
cases in question, it is shown that the statically determinate relations of
the general 2D problem belong to the hyperbolic type. The characteristics
of these hyperbolic systems are found. |
| References |
| 1. | D. D. Ivlev and L. A. Maksimova, "On the properties of the
relations of the general 2D perfect plasticity problem," Doklady AN, Vol. 373, No. 1, pp. 39-41, 2000. |
| 2. | D. D. Ivlev, L. A. Maksimova and R. I. Nepershin, "On the
indentation of a punch into a perfectly plastic half-space with shear
stresses taken into account," Doklady AN, Vol. 379, No. 2,
pp. 169-199, 2001. |
| 3. | D. D. Ivlev, L. A. Maksimova and R. I. Nepershin, "On the
definition of the velocity field of a perfectly plastic flow for the
general plane problem," Doklady AN, Vol. 379, No. 6,
pp. 758-763, 2001. |
| 4. | A. V. Gorskii and P. V. Gorskii, "On the stress analysis in a
nonhomogeneous perfectly plastic solid," Izv. TulGU. Matematika. Mekhanika.
Informatika, Vol. 10, No. 2, pp. 52-69, 2004. |
| 5. | P. V. Gorskii, "On the indentation of a circular punch into a
nonhomogeneous rigidly plastic solid," Izv. TulGU. Matematika. Mekhanika.
Informatika, Vol. 10, No. 3, pp. 62-75, 2004. |
|
| Received |
01 June 2005 |
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