Description of polymer gel properties in framework of generalized Mooney-Rivlin model

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Abstract

. A polymer gel is considered as a mixture consisting of a highly elastic elastic material and a liquid (solvent) dissolved in it. Based on the generalized Mooney-Rivlin model, an expression of free energy is proposed that describes the deformation behavior and thermodynamic properties of polymer gels. In this model, it is assumed that the Mooney-Rivlin “constants” depend on the concentration of the liquid dissolved in the polymer. From this expression, the defining relations for the stress tensor, the chemical potential of the solvent and the osmotic stress tensor are obtained. On their basis, an experimental study of the deformation properties of mesh elastomers swollen in a solvent of various chemical nature has been performed. In particular, the dependence of the elastic properties of elastomers on the solvent concentration has been studied and the parameters describing this dependence have been determined.

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About the authors

Е. Ya. Denisyuk

Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of Science

Author for correspondence.
Email: denisyuk@icmm.ru
Russian Federation, Perm

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Supplementary files

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2. Fig. 1. Experimental curves of uniaxial tension of the PBU-1 elastomer at different concentrations of DBS, presented in Mooney-Rivlin coordinates: 1 – φ2 = 1; 2 – φ2 = 0.682; 3 – φ2 = 0.469; 4 – φ2 = 0.364; 5 – φ2 = 0.277; 6 – φ2 = 0.204; 7 – φ2 = 0.126.

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3. Fig. 2. Experimental dependence of the ratio ψ2/ψ1 on the volume fraction of polymer φ2 for the PBU-1 elastomer containing DBS, presented in logarithmic coordinates.

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4. Fig. 3. Experimental dependence of the thermodynamically equilibrium elastic response of the PBU-4 elastomer under uniaxial tension in the DBS. The solid line is calculated using equations (5.6)–(5.9) with the constants presented in the table. The value of P is measured in MPa.

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5. Fig. 4. Experimental deformation dependence of the equilibrium degree of swelling of the PBU-4 elastomer in DBS under uniaxial tension conditions. The solid line is calculated using equation (5.7) with the constants presented in the table.

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