A simplified model for equilibrium and transient swelling of thermo-responsive gels

A. D. Drozdov, J. deClaville Christiansen

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


A simplified model is developed for the elastic response of thermo-responsive gels subjected to swelling under an arbitrary deformation with finite strains. The constitutive equations involve five adjustable parameters that are determined by fitting observations in equilibrium water uptake tests and T-jump transient tests on thin gel disks. Two scenarios for water release under heating are revealed by means of numerical simulation. When the final temperature in a T-jump test is below the volume-phase transition temperature, deswelling is characterized by smooth distribution of water molecules and small tensile stresses. When the final temperature exceeds the critical temperature, a gel disk is split into three regions (central part with a high concentration of water molecules and two domains near the boundaries with low water content) separated by sharp interfaces, whose propagation is accompanied by development of large (comparable with the elastic modulus) tensile stresses.

Original languageEnglish
Pages (from-to)20-32
Number of pages13
JournalJournal of the Mechanical Behavior of Biomedical Materials
StatePublished - 1 Nov 2017
Externally publishedYes


  • Modeling
  • Thermo-responsive gel
  • Transient swelling
  • Volume phase transition

ASJC Scopus subject areas

  • Biomaterials
  • Biomedical Engineering
  • Mechanics of Materials


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