 | | 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
|
| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 52, Issue 5 / 2017 | Next article >> |
| K.E. Kazakov, "On Indentation of a System of Irregularly Shaped Rigid Punches into a Coated Foundation," Mech. Solids. 52 (5), 473-478 (2017) |
| Year |
2017 |
Volume |
52 |
Number |
5 |
Pages |
473-478 |
| DOI |
10.3103/S0025654417050016 |
| Title |
On Indentation of a System of Irregularly Shaped Rigid Punches into a Coated Foundation |
| Author(s) |
K.E. Kazakov (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia; Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5 str. 1, Moscow, 105005 Russia, kazakov-ke@yandex.ru) |
| Abstract |
We consider the contact problem of interaction between a coated viscoelastic foundation and a system of rigid punches in the case where the punch shape is described by rapidly varying functions. A system of integral equations is derived, and possible versions of the statement of the problem are given. The analytic solution of the problem is constructed for one of the versions. |
| Keywords |
contact problem, rapidly varying function, system of mixed integral equations, projection method |
| References |
| 1. | N. Kh. Arutyunyan and A. V. Manzhirov,
Contact Problems of Creep Theory
(Izdat. NAN RA, Erevan, 1999). |
| 2. | A. V. Manzhirov,
"Contact Problems of the Interaction between Viscoelastic Foundations Subjected to
Ageing and Systems of Stamps not Applied Simultaneously,"
Prikl. Mat. Mekh.
51 (4), 670-685 (1987)
[J. Appl. Math. Mech. (Engl. Transl.)
51 (4), 523-535 (1987)]. |
| 3. | A. V. Manzhirov,
"Some Formulations and Solutions of Contact Problems of Creep
for Arbitrary Systems of Dies,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 3, 139-151 (1987)
[Mech. Solids (Engl. Transl.)
22 (3), (1987)]. |
| 4. | K. E. Kazakov, S. P. Kurdina, and A. V. Manzhirov,
"Contact Interaction between Surface Inhomogeneous Foundations
and Systems of Rigid Punches,"
Proc. IUTAM
23, 201-209 (2017). |
| 5. | A. V. Manzhirov, S. P. Kurdina, K. E. Kazakov, and I. Fedotov,
"Conformal Contact between a Viscoelastic Foundation with Rough
Coating and a Finite System of Identical Rigid Punches," Vestnik
Chuvash. Gos. Ped. Univ. im I. Ya. Yakovleva. Ser. Mekh. Pred.
Sost., No. 4(26), 26-38 (2015). |
| 6. | K. E. Kazakov and S. P. Kurdina,
"Indentation of a Regular System of Punches into the Foundation
with Rough Coating,"
in Mechanics for Materials and Technologies,
Vol. 46: Advanced Structured Materials,
Ed. by H. Altenbach, R. V. Goldstein, and E. Murashkin
(Springer, 2017),
pp. 297-308. |
| 7. | V. M. Alexandrov and S. M. Mkhitaryan,
Contact Problems for Bodies with Thin Coatings and Interlayers
(Nauka, Moscow, 1983)
[in Russian]. |
| 8. | I. I. Vorovich, V. M. Alexandrov, and V. A. Babeshko,
Nonclassical Mixed Problems of Elasticity
(Nauka, Moscow, 1974)
[in Russian]. |
| 9. | V. S. Vladimirov,
Equations of Mathematical Physics
(Nauka, Moscow, 1981)
[in Russian]. |
| 10. | A. V. Manzhirov,
"A Mixed Integral Equation of Mechanics and a Generalized Projection Method
of Its Solution,"
Dokl. Ross. Akad. Nauk
470 (4), 401-405 (2016)
[Dokl. Phys. (Engl. Transl.
61 (10), 489-493 (2016)]. |
| 11. | A. N. Kolmogorov and S. V. Fomin,
Elements of the Theory of Functions and Functional Analysis
(Nauka, Moscow, 1976; Dover Publications, New York, 1999). |
|
| Received |
23 June 2017 |
| Link to Fulltext |
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