 | | 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 41, Issue 1 / 2006 | Next article >> |
| A. V. Manzhirov and D. A. Parshin, "Accretion of a viscoelastic ball in a centrally symmetric force field," Mech. Solids. 41 (1), 51-64 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
1 |
Pages |
51-64 |
| Title |
Accretion of a viscoelastic ball in a centrally symmetric force field |
| Author(s) |
A. V. Manzhirov (Moscow)
D. A. Parshin (Moscow) |
| Abstract |
Investigated are processes of the formation of a ball, as well as the stress
and displacement fields in this ball, due to inflow of the material onto the
surface under the action of a centrally symmetric force field. A model of the
processes of the ball accretion is proposed. Various constitutive relations for
the forming material are considered. The influence of the accretion rate and
mode on the basic characteristics of the stress-strain state of the ball is
studied. A comparative analysis of these characteristics is performed for the
models that take into account or ignore the specific features of the accretion
process. Calculations for gravitating objects formed by means of accretion are
carried out. Essentially new mechanical phenomena appearing only due to the
accretion are observed. |
| References |
| 1. | N. Kh. Arutyunyan, A. V. Manzhirov, and V. E. Naumov, Contact Problems
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, Yerevan, 1999. |
| 3. | A. I. Lur'e, Theory of Elasticity [in Russian], Nauka, Moscow, 1970. |
| 4. | W. Nowacki, Theory of Elasticity [Russian translation], Mir,
Moscow, 1975. |
| 5. | A. V. Manzhirov, "General noninertial initial-boundary value problem
for a viscoelastic aging solid under piecewise continuous accretion," PMM
[Applied Mathematics and Mechanics], Vol. 59, No. 5, pp. 836-848, 1995. |
| 6. | L. D. Landau and E. M. Lifshits, Field Theory [in Russian], Nauka,
Moscow, 1988. |
| 7. | I. E. Prokopovich and V. A. Zedgenidze, Applied Theory of Creep [in
Russian], Stroiizdat, Moscow, 1980. |
| 8. | A. V. Manzhirov and A. D. Polyanin, Handbook on Integral Equations:
Methods of Solution [in Russian], Factorial Press, Moscow, 2000. |
|
| Received |
02 November 2005 |
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