 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| E. Ya. Denisyuk, "Problems of the Mechanics of Polymer Gels with Unilateral Constraints," Mech. Solids. 57 (2), 292-306 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
2 |
Pages |
292-306 |
| DOI |
10.3103/S0025654422020054 |
| Title |
Problems of the Mechanics of Polymer Gels with Unilateral Constraints |
| Author(s) |
E. Ya. Denisyuk (Institute of Continuous Media Mechanics of the Ural Branch of the Russian Academy of Science, Perm, 614013 Russia, denisyuk@icmm.ru) |
| Abstract |
Within the framework of the variational approach, boundary value problems are formulated that describe the thermodynamically equilibrium states of statically loaded polymer gels and take into account the conditions of mass transfer of the material with the external environment. A polymer gel is considered as a system that is an elastic (highly elastic) material and a liquid dissolved in it. The liquid (solvent) is assumed to be non-volatile. It is shown that the behavior of the gel depends significantly on the medium in which it is deformed. In particular, when the gel is deformed in the atmosphere, the absorption of liquid by the material from the external environment is excluded; however, it is possible to squeeze out the liquid from the material (in the case of compressive loads). It is shown that such conditions of mass transfer, within the framework of the variational approach, are naturally formulated in the form of one-sided constraints in the form of inequalities. The general theory is illustrated by the example of describing the deformation behavior of polymer gels under conditions of uniaxial tension and compression in a solvent medium and in the atmosphere. |
| Keywords |
polymer gels, swelling, finite deformations, thermodynamic equilibrium, chemical potential, osmotic stress tensor |
| Received |
22 February 2021 | Revised |
01 March 2021 | Accepted |
29 April 2021 |
| Link to Fulltext |
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