 | | 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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| S.G. Pshenichnov, "Dynamic Linear Viscoelasticity Problems for Piecewise Homogeneous Bodies," Mech. Solids. 51 (1), 65-74 (2016) |
| Year |
2016 |
Volume |
51 |
Number |
1 |
Pages |
65-74 |
| DOI |
10.3103/S0025654416010076 |
| Title |
Dynamic Linear Viscoelasticity Problems for Piecewise Homogeneous Bodies |
| Author(s) |
S.G. Pshenichnov (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr. 1, Moscow, 119899 Russia, serp56@yandex.ru) |
| Abstract |
We consider problems on transient wave processes in linearly
viscoelastic piecewise homogeneous bodies in the case of small
strains, a bounded perturbation propagation domain, and bounded
creep of the materials forming the homogeneous components of the
bodies. We study problems related to the construction of solutions
of such problems by the method of Laplace integral transform with
respect to time and the subsequent inversion. We state assertions
about the properties of Laplace transforms of the solutions, which simplify the process of determining the original functions. We also consider relations of correspondence between relaxation kernels that belong to different function classes but still affect transient wave processes in a similar way. |
| Keywords |
dynamics of viscoelastic bodies, piecewise homogeneous bodies, wave processes, relaxation kernels |
| References |
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[in Russian]. |
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| 7. | L. Songnan and G. Ping,
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Hubnan Daxue Xuebao. J. Hunan Univ.
20 (1), 57-64 (1993). |
| 8. | S. G. Pshenichnov,
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in Elasticity and Inelasticity
(Izdat. MGU. Moscow, 2006),
pp. 406-412
[in Russian]. |
| 9. | S. G. Pshenichnov,
"Nonstationary Dynamic Problems of Nonlinear Viscoelasticity,"
Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 84-96 (2013)
[Mech. Solids (Engl. Transl.)
48 (1), 68-78 (2013)]. |
| 10. | S. G. Pshenichnov and M. Yu. Stavrovskaya,
"On Equivalence Conditions for Hereditary Kernels in Nonstationary Problems
of Linear Viscoelasticity,"
Izv. Tulsk. Gos. Univ. Ser. Mat. Mekh. Inf.
12 (2), 177-189 (2006). |
| 11. | Yu. N. Rabotnov,
Mechanics of Deformable Solids
(Nauka, Moscow, 1988)
[in Russian]. |
| 12. | S. G. Pshenichnov,
"Analytic Solution of One-Dimensional Problems of Dynamics
of Piecewise Homogeneous Viscoelastic Bodies,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 1, 95-103 (1991)
[Mech. Solids (Engl. Transl.)]. |
| 13. | 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). |
|
| Received |
07 November 2013 |
| Link to Fulltext |
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