Time-dependent response of hydrogels under multiaxial deformation accompanied by swelling

A. D. Drozdov, J. deClaville Christiansen

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


Constitutive equations are developed for the time-dependent behavior of a covalently cross-linked gel under an arbitrary deformation accompanied by swelling. Analysis of experimental data on poly(acrylamide) (PAAm) gels demonstrates that a modified Mooney–Rivlin expression for the strain energy density of the polymer network ensures an adequate description of observations in short-term (diffusion of water is disregarded) and long-term (transport of water molecules is taken into account) mechanical tests on sheets subjected to uniaxial tension, equi-biaxial tension, biaxial tension and shear. Numerical simulation shows that the cooperative diffusion coefficient is weakly influenced by chemical composition and preparation conditions for PAAm gels, whereas mechanically induced water uptake is strongly affected by deformation mode and conditions of loading (constant stresses versus constant elongation ratios).

Original languageEnglish
Pages (from-to)5067-5092
Number of pages26
JournalActa Mechanica
Issue number12
StatePublished - 1 Dec 2018
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanical Engineering


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