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Swelling in the mechanically loaded polymer networks

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Abstract

Swelling of crosslinked polymers is treated as a set of correlated processes of diffusion of a solvent and deformation of a polymer matrix. A polymer and a solvent are assumed to be incompressible media. In this case, the chemical-potential gradient of a solvent, which is the driving force for diffusion, can be presented as divergence of the symmetric second-rank tensor or osmotic stress tensor. In contrast to the chemical potential, this tensor is a well-defined thermodynamic function of the state of the polymer-solvent system. Equations and boundary conditions for the description of swelling of polymer networks under different modes of mechanical loading are formulated in terms of the osmotic stress tensor. A general theory is illustrated for the description of the kinetics of swelling of a flat sample under the conditions of fixed uniaxial tensile drawing.

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Authors and Affiliations

  1. Institute of Continuous Media Mechanics, Ural Division, Russian Academy of Sciences, ul. Akademika Koroleva 1, Perm, 614013, Russia

    E. Ya. Denisyuk

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  1. E. Ya. Denisyuk
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Correspondence to E. Ya. Denisyuk.

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Original Russian Text © E.Ya. Denisyuk, 2010, published in Vysokomolekulyarnye Soedineniya, Ser. A, 2010, Vol. 52, No. 4, pp. 634–645.

This work was supported by the Russian Foundation for Basic Research and the Administration of Perm krai, project nos. 08-08-00541 and RFBR-Urals 07-01-96017, and by a grant from the president of the Russian Federation, project no. NSh-3717.2008.1.

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Denisyuk, E.Y. Swelling in the mechanically loaded polymer networks. Polym. Sci. Ser. A 52, 436–446 (2010). https://doi.org/10.1134/S0965545X10040139

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  • DOI: https://doi.org/10.1134/S0965545X10040139

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