 | | 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
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| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 44, Issue 5 / 2009 | Next article >> |
| V.V. Klindukhov, "Indentation of a Smooth Axisymmetric Punch into a Transversely Isotropic Layer," Mech. Solids. 44 (5), 737-743 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
5 |
Pages |
737-743 |
| DOI |
10.3103/S0025654409050100 |
| Title |
Indentation of a Smooth Axisymmetric Punch into a Transversely Isotropic Layer |
| Author(s) |
V.V. Klindukhov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, klindukh@ipmnet.ru) |
| Abstract |
We consider an axisymmetric contact problem for a transversely isotropic layer on a rigid base. The problem is reduced to a Fredholm integro-differential equation of the first kind for the contact pressure under the punch. The integral equation is solved by the collocation method [1]. Some numerical results are presented. |
| Keywords |
contact problem, transversely isotropic layer, integral equation, stress, strain |
| References |
| 1. | A. I. Kalandiya,
Mathematical Methods of Two-Dimensional Elasticity
(Nauka, Moscow, 1973; Mir Publishers, Moscow 1975). |
| 2. | S. G. Lekhnitskii,
Theory of Elasticity of an Anisotropic Body
(Nauka, Moscow, 1977; Mir Publishers, Moscow, 1981). |
| 3. | Ya. S. Ufland,
Integral Transforms in Elasticity Problems
(Nauka, Leningrad, 1967)
[in Russian]. |
| 4. | V. M. Alexandrov and D. A. Pozharskii,
Nonclassical Spatial Problems in Mechanics of Contact Interactions between Elastic Bodies
(Factorial, Moscow, 1998)
[in Russian]. |
| 5. | V. M. Alexandrov and V. V. Klindukhov,
"Contact Problems for a Two-Layer Elastic Foundation with a Nonideal Mechanical Constraint between the Layers,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 3, 84-92 (2000)
[Mech. Solids (Engl. Transl.)
35 (3), 71-78 (2000)]. |
|
| Received |
27 June 2007 |
| Link to Fulltext |
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