 | | 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: | | 12882 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8071
|
| In English (Mech. Solids): | | 4811 |
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| S.G. Pshenichnov, "Nonstationary Dynamic Problems of Nonlinear Viscoelasticity," Mech. Solids. 48 (1), 68-78 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
1 |
Pages |
68-78 |
| DOI |
10.3103/S002565441301007X |
| Title |
Nonstationary Dynamic Problems of Nonlinear Viscoelasticity |
| Author(s) |
S.G. Pshenichnov (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr-t 1, Moscow, 119899 Russia, serp56@yandex.ru) |
| Abstract |
Dynamic problems describing transient wave processes in linearly viscoelastic solids are considered for bounded domains of perturbation propagation and bounded creep of the material. The integral Laplace transform with respect to time is applied to the original problem, and several statements about the properties of Laplace transforms simplifying the construction of the original functions are stated. Relations establishing a correspondence between relaxation kernels that belong to various function classes but nevertheless affect the transient processes in a similar way are proposed. The results justifying these relations in a certain range of the input data are presented. |
| Keywords |
dynamics of viscoelastic bodies, wave process, relaxation kernel |
| References |
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| 12. | Lin Cong-mou and Yang Lin-de,
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| 13. | Yu. N. Rabotnov,
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| 14. | S. G. Pshenichnov,
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Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 1, 95-103 (1991)
[Mech. Solids (Engl. Transl.)]. |
| 15. | S. G. Pshenichnov,
"To the Problem of Studies of Nonstationary Processes in Linearly Viscoelastic Bodies
with Variable Poisson Ratio,"
Izv. Tulsk. Gos. Univ. Ser. Mat. Mekh. Inf.
11 (2), 116-126 (2005). |
| 16. | S. G. Pshenichnov and M. Yu. Stavrovskaya,
"Axially Symmetric Problem of Dynamics for a Linearly Viscoelastic Hollow Cylinder of Finite Length,"
Izv. Tulsk. Gos. Univ. Ser. Mat. Mekh. Inf.
12 (2), 165-176 (2006). |
| 17. | S. G. Pshenichnov and M. Yu. Stavrovskaya,
"Manifestation of Hereditary Properties of Materials in Nonstationary Dynamics
of a Linearly Viscoelastic Cylinder of Finite Length,"
Izv. Tulsk. Gos. Univ. Ser. Mat. Mekh. Inf.
13 (2), 156-171 (2007). |
|
| Received |
22 November 2010 |
| Link to Fulltext |
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