 | | 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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| V. V. Vakulyuk and B. E. Pobedrya, "On the nonlinear theory of viscoelasticity," Mech. Solids. 40 (6), 30-35 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
6 |
Pages |
30-35 |
| Title |
On the nonlinear theory of viscoelasticity |
| Author(s) |
V. V. Vakulyuk (Moscow)
B. E. Pobedrya (Moscow) |
| Abstract |
We consider a nonlinear theory of viscoelasticity possessing all advantages
of a theory in which stresses are expressed via strains by integral
operators of increasing multiplicity. Using the one-dimensional case as an
example, we show that the constitutive operator equations are mutually
inverse. The theory's adequacy is proved. |
| References |
| 1. | A. A. Il'yushin and B. E. Pobedrya, Fundamentals of the
Mathematical Theory of Thermoviscoelasticity [in Russian], Nauka, Moscow,
1970. |
| 2. | A. A. Adamov, V. P. Matvienko, N. A. Trufanov, and I. N. Shardakov,
Methods of Applied Viscoelasticity [in Russian], IMSS UrO RAN, Ekaterinburg,
2003. |
| 3. | D. V. Georgievskii, D. M. Klimov, and B. E. Pobedrya, "Specific
features of the behavior of viscoelastic models," Izv. RAN. MTT [Mechanics
of Solids], No. 1, pp. 119-157, 2004. |
| 4. | B. E. Pobedrya, Mechanics of Composites [in Russian], Izd-vo MGU,
Moscow, 1984. |
| 5. | B. E. Pobedrya, "Mathematical theory of nonlinear
viscoelasticity," in Elasticity and Nonelasticity [in Russian], Vol. 3,
pp. 417-428, Izd-vo MGU, Moscow, 1973. |
| 6. | V. V. Moskvitin, Strength of Viscoelastic Materials [in Russian],
Nauka, Moscow, 1970. |
| 7. | A. A. Il'yushin, Plasticity (Fundamentals of General Mathematical
Theory) [in Russian], Izd-vo AN SSSR, Moscow, 1963. |
| 8. | Yu. P. Samarin, Constitutive Equations of Materials with Complex
Rheological Properties [in Russian], Izd-vo KGU, Kuibyshev, 1979. |
| 9. | B. E. Pobedrya, Numerical Methods in Elasticity and Plasticity [in
Russian], Izd-vo MGU, Moscow, 1995. |
|
| Received |
15 July 2005 |
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