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IssuesArchive of Issues2010-1pp.94-110

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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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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)].
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16.  P. G. De Gennes, Scaling Concept in Polymer Physics (Cornell Univ. Press, Ithaca, London, 1979; Mir, Moscow, 1982).
Received 13 November 2007
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