Variational bounds are found for the relaxation times of a gel of general shape swelling in a solvent based on the stress-diffusion coupling model. It is shown that in the case of free swelling, the longest relaxation time is inversely proportional to the osmotic modulus K in the limit of K-->0 and K-->infinity . This indicates that the relaxation time diverges at the point of K=0 . The divergence, however, disappears if a part of the gel is mechanically constrained.
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Doi et al. (2005) studied this question.
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