Continuum mechanical model is proposed for dynamical processes in gels that involve coupling between the elastic deformation and solvent permeation. Basic equations are derived by two methods, by a physical argument, and by a variational principle. The model is then applied to discuss the swelling of gels, in which solvent permeation causes deformation, and the squeezing of gels, in which mechanical force induce solvent permeation. The model is also applied to the dynamics of the volume transition of gels. It is shown that the elasticity of gels creates various unusual features in the phase transition dynamics.
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Masao Doi (2009) studied this question.
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