Gel Mechanics: A Thermo-mechanically Coupled Theory for Fluid Permeation in Elastomeric Materials

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Abstract

An elastomeric gel is a cross-linked polymer network swollen with a solvent, and certain gels can undergo large reversible volume changes as they are cycled about a critical temperature. We have developed a continuum-level theory to describe the coupled mechanical deformation, fluid permeation, and heat transfer of such thermally-responsive gels. In discussing special constitutive equations we limit our attention to isotropic materials, and consider a model based on a Flory-Huggins model for the free energy change due to mixing of the fluid with the polymer network, coupled with a non-Gaussian statistical-mechanical model for the change in configurational entropy - a model which accounts for the limited extensibility of polymer chains. We have numerically implemented our theory in a finite element program. We have shown that our theory is capable of simulating swelling, squeezing of fluid by applied mechanical forces, and thermally-responsive swelling/deswelling of such materials.

Original languageEnglish (US)
Pages (from-to)10-19
Number of pages10
JournalProcedia IUTAM
Volume12
DOIs
StatePublished - 2015
EventIUTAM Symposium on Mechanics of Soft Active Materials, SAM 2014 - Haifa, Israel
Duration: May 12 2014May 15 2014

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Keywords

  • Diffusion
  • Elastomeric materials
  • Gels
  • Large deformations
  • Thermodynamics

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