 | | 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 40, Issue 5 / 2005 | Next article >> |
| A. V. Gorskii and P. V. Gorskii, "Indentation of a rigid pyramid into a perfectly plastic half-space," Mech. Solids. 40 (5), 122-128 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
5 |
Pages |
122-128 |
| Title |
Indentation of a rigid pyramid into a perfectly plastic half-space |
| Author(s) |
A. V. Gorskii (Cheboksary)
P. V. Gorskii (Cheboksary) |
| Abstract |
Ishlinskii [1] considered the limit condition of a perfectly plastic
space under indentation by a spherical rigid punch (the Brinell test). We
consider a self-similar solution of the problem on the oblique indentation
of a perfectly plastic half-space by a rigid regular n-gonal pyramid
under the full plasticity condition taking into account the contact
friction on the faces. The problem models the rigid pyramid hardness test.
Self-similar solutions of the problem on the perpendicular indentation of a
rigid triangular or square pyramid allowing for the contact friction on the
faces are given in [2, 3]. |
| References |
| 1. | A. Yu. Ishlinskii, "An axisymmetric plasticity problem and the
Brinell test," PMM [Applied Mathematics and Mechanics], Vol. 8, No. 3,
pp. 201-224, 1944. |
| 2. | D. D. Ivlev, A. Yu. Ishlinskii, and R. I. Nepershin, "Indentation
of a pyramid into a perfectly plastic half-space," Doklady AN, Vol. 385,
No. 6, pp. 766-769, 2002. |
| 3. | D. D. Ivlev, A. Yu. Ishlinskii, and R. I. Nepershin, "On the indentation of a rigid pyramid
into an ideally plastic half-space," Izv.
AN. MTT [Mechanics of Solids], No. 4, pp. 57-62, 2002. |
| 4. | D. D. Ivlev, A. Yu. Ishlinskii, and R. I. Nepershin, " On the
characteristic relations for the stresses and displacement rates in the 3D
problem for a perfectly plastic solid under the full plasticity condition,"
Doklady AN, Vol. 381, No. 5, pp. 616-622, 2001. |
| 5. | D. D. Ivlev, "On discontinuous solutions of 3D perfect plasticity
problems," PMM [Applied Mathematics and Mechanics], Vol. 22, No. 4,
pp. 480-486, 1958. |
|
| Received |
03 April 2003 |
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