Mechanics and Thermodynamics of Deformation for a Liquid-Sarurated Elastic Materials in the Approximation of Small Deformations

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The article deals with a linear theory describing the elastic properties and thermodynamics of deformation for a mixture, which is an elastic material and a liquid dissolved in it, in the approximation of small deformations. Theory’s equations are obtained by the linearization of the corresponding equations for the nonlinear theory. In the framework of the linear theory, the formulation of the basic problems for the mechanics of mixture is considered. Their connection with the classical problems of the theory of elasticity and thermoelasticity is shown. The general theory is exemplified by the description of the elastic properties and thermodynamics for the deformation of polymer gels in a solvent medium.