 | | 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 41, Issue 6 / 2006 | Next article >> |
| A. V. Manzhirov and D. A. Parshin, "Modeling the accretion of cylindrical bodies on a rotating mandrel with centrifugal forces taken into account," Mech. Solids. 41 (6), 121-134 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
6 |
Pages |
121-134 |
| Title |
Modeling the accretion of cylindrical bodies on a rotating mandrel with centrifugal forces taken into account |
| Author(s) |
A. V. Manzhirov (Moscow)
D. A. Parshin (Moscow) |
| Abstract |
We use the approaches of mechanics of accreted solids to study processes in which elastic
and viscoelastic cylindrical bodies and coatings are manufactured by depositing the material
onto a rotating mandrel with arbitrary tension. The model takes into account centrifugal
forces. The corresponding nonclassical accretion boundary value problem is stated. Its
analytical solution is constructed. An efficient method for determining the residual
stresses in the manufactured article is suggested. The results of computations for two model
problems are given. We show that it is fundamentally necessary to consider the gradual new
material inflow to the body and the action of centrifugal forces on the body simultaneously. |
| References |
| 1. | N. Kh. Arutyunyan, A. V. Manzhirov, and V. E. Naumov, Contact Problem in Mechanics
of Growing Solids [in Russian], Nauka, Moscow, 1991. |
| 2. | N. Kh. Arutyunyan and A. V. Manzhirov, Contact Problems in the Theory of Creep [in
Russian], Izd-vo NAN RA, Erevan, 1999. |
| 3. | R. V. Southwell, An Introduction to the Theory of Elasticity for
Engineers and Physicists [Russian translation], GIIL, Moscow, 1948. |
| 4. | N. Kh. Arutyunyan and V. B. Kolmanovskii, Creep Theory of
Inhomogeneous Solids [in Russian], Nauka, Moscow, 1983. |
| 5. | V. V. Metlov and A. V. Nikitin, "On the accretion of a viscoelastic cylinder
subject to ageing," Izv. AN ArmSSR. Mekhanika, Vol. 37, No. 5, pp. 52-60, 1984. |
| 6. | B. E. Pobedrya, Mechanics of Composites [in Russian], Izd-vo MGU, Moscow, 1984. |
| 7. | V. V. Metlov, "On the accretion of inhomogeneous viscoelastic bodies at finite
strains," PMM [Applied Mathematics and Mechanics], Vol. 49, No. 4, pp. 637-647, 1985. |
| 8. | N. Kh. Arutyunyan, A. D. Drozdov, and V. E. Naumov, Mechanics of Growing
Viscoelastoplastic Solids [in Russian], Nauka, Moscow, 1987. |
| 9. | A. V. Manzhirov, "The general non-inertial initial-boundary-value problem for a
viscoelastic ageing solid with piecewise-continuous accretion," PMM [Applied Mathematics
and Mechanics], Vol. 59, No. 5, pp. 836-848, 1995. |
| 10. | A. D. Polyanin and A. V. Manzhirov, Handbook of Integral Equations [in Russian],
Fizmatlit, Moscow, 2003. |
| 11. | L. C. E. Struik, Physical Aging in Amorphous Polymers and Other
Materials, Elsevier, Amsterdam, 1978. |
|
| Received |
12 September 2006 |
| << Previous article | Volume 41, Issue 6 / 2006 | Next article >> |
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