 | | 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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| E.Ya. Denisyuk, "Mechanics and Thermodynamics of Fluid-Saturated Highly Elastic Materials," Mech. Solids. 45 (1), 94-110 (2010) |
| Year |
2010 |
Volume |
45 |
Number |
1 |
Pages |
94-110 |
| DOI |
10.3103/S0025654410010139 |
| Title |
Mechanics and Thermodynamics of Fluid-Saturated Highly Elastic Materials |
| Author(s) |
E.Ya. Denisyuk (Institute of Continuous Media Mechanics, Ural Branch of Russian Academy of Sciences, Akad. Koroleva 1, Perm, 614013 Russia, denisyuk@icmm.ru) |
| Abstract |
We consider a mixture that consists of a highly elastic material and a liquid dissolved in this material. Using the laws of classical thermodynamics, we state a variational principle describing the mixture equilibrium under static loading conditions. From this principle, we derive equilibrium equations and a system of constitutive relations characterizing the mixture elastic and thermodynamic properties. We state problems describing the stress-strain state of a swollen material and a statically loaded material in thermodynamic equilibrium with the liquid. We consider the case of incompressible mixture. The general theory is illustrated by examples concerned with the deformation behavior of inhomogeneously swollen cross-linked polymers and with their thermodynamics of strains and swelling in solvent media. |
| Keywords |
elastic mixture, elastomers, polymer gels, finite strains, osmotic stress tensor |
| References |
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Physical Chemistry of Polymers
(Khimiya, Moscow, 1978)
[in Russian]. |
| 2. | L. I. Valuev, T. A. Valueva, I. L. Valuev, and N. E. Plate,
"Polymer Systems for Controlled Release of Biologically Active Compounds,"
Usp. Biol. Khim.
43, 307-328 (2003). |
| 3. | I. Y. Galaev and B. Mattiasson,
"`Smart' Polymers and What They Could Do in Biotechnology,"
Trends in Biotechnology
17 (8), 335-340 (1999). |
| 4. | M. Nishino, J. Gong, and Y. Osada,
"Polymer Gels as a Chemical Valve,"
Bioseparation
7 (4-5), 269-280 (1999). |
| 5. | Yu. V. Moiseev and G. E. Zaikov,
Chemical Stability of Polymers in Aggressive Media
(Khimiya, Moscow, 1979)
[in Russian]. |
| 6. | J. R. G. Treloar,
The Physics of Rubber Elasticity
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Polymer
13 (5), 195-207 (1972). |
| 8. | K. Sekimoto,
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249 (1-4), 262-265 (1998). |
| 9. | K. R. Rajagopal and L. Tao,
Mechanics of Mixtures
(World Scientific Publishing, Singapore, 1995). |
| 10. | C. Truesdell and R. Toupin,
"The Classical Field Theories,"
in Handbuch der Phisik, Vol. III. Ed. by S. Flugge
(Springer, Berlin, 1960),
pp. 226-793. |
| 11. | E. Ya. Denisyuk and V. V. Tereshatov,
"Theory of the Mechanodiffusion Transfer of Multicomponent Liquids in Cross-Linked Elastomers,"
Zh. Prikl. Mekh. Tekh. Fiz.
38 (6), 113-129 (1997)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
38 (6), 913-927 (1997)]. |
| 12. | E. Ya. Denisyuk and V. V. Tereshatov,
"A Nonlinear Theory of the Process of Elastomer Swelling in Low-Molecular-Mass Liquids,"
Vysokomolek. Soed.
42 (1), 71-83 (2000)
[Polymer Sci. Ser. A (Engl. Transl.)
42 (1), 56-67 (2000)]. |
| 13. | A. I. Lurie,
Nonlinear Theory of Elasticity
(Nauka, Moscow, 1980)
[in Russian]. |
| 14. | I. Prigozhin and R. Defey,
Chemical Thermodynamics
(Longmans Green and Co, London, 1954; Nauka, Novosibirsk, 1966). |
| 15. | P. J. Flory and J. Rehner,
"Statistical Mechanics of Cross-Linked Polymer Networks,"
J. Chem. Phys.
11 (11), 512-526 (1943). |
| 16. | P. G. De Gennes,
Scaling Concept in Polymer Physics
(Cornell Univ. Press, Ithaca, London, 1979; Mir, Moscow, 1982). |
|
| Received |
13 November 2007 |
| Link to Fulltext |
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