Constitutive equations for the kinetics of swelling of hydrogels

A. D. Drozdov, A. A. Papadimitriou, J. H.M. Liely, C. G. Sanporean

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


Governing equations are reported for the kinetics of swelling of neutral gels subjected to finite deformations. Transport of solvent through a polymer network is described by the nonlinear diffusion equation with an equivalent diffusivity strongly affected by volume fraction of the solid phase. Material constants are determined by fitting observations in water uptake tests on NIPA, AAm and gelatin gels (taken from the literature) and HEMA gels (reported in this study) under unconstrained (spherical particles) and constrained (free-standing films and thin films attached to rigid substrates) swelling. Good agreement is demonstrated between the experimental swelling diagrams and results of simulation.

Original languageEnglish
Pages (from-to)61-73
Number of pages13
JournalMechanics of Materials
StatePublished - 1 Nov 2016
Externally publishedYes


  • Finite elasticity
  • Hydrogel
  • Modeling
  • Transient swelling


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