Research Papers

Simulation of the Transient Behavior of Gels Based on an Analogy Between Diffusion and Heat Transfer

[+] Author and Article Information
Hanqing Jiang

e-mail: hanqing.jiang@asu.edu
Mechanical Engineering,
School for Engineering of Matter,
Transport and Energy,
Arizona State University,
Tempe, AZ 85287

1Corresponding author.

Manuscript received July 24, 2012; final manuscript received September 30, 2012; accepted manuscript posted October 8, 2012; published online May 16, 2013. Editor: Yonggang Huang.

J. Appl. Mech 80(4), 041017 (May 16, 2013) (5 pages) Paper No: JAM-12-1347; doi: 10.1115/1.4007789 History: Received July 24, 2012; Revised September 30, 2012; Accepted October 08, 2012

The transient behaviors of the swelling and deswelling of gels involve concurrent mechanical deformation and solvent diffusion and exhibit a fascinating phenomenon. In this paper, a simple numerical tool is developed by using an analogy between diffusion and heat transfer when large deformation presents for gels. Using this analogy, a finite element method is developed in the framework of a commercial finite element package ABAQUS via two material-specific user subroutines to describe the mechanical and mass diffusion behaviors of gels. The present method is not limited to any specific materials; therefore, this method can be extended to other materials that featured with coupled deformation and diffusion. This method is expected to be able to serve as a useful numerical tool to study related materials and problems due to its simplicity.

Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Fig. 4

(a) Schematic of a swellable elastomer inside a pipe. (b) The contour plots of pipe pressure p(t) at different times. (c) Evolution of average pipe pressure p(t) with time t for different elastomers.

Grahic Jump Location
Fig. 1

(a) Schematic of a cubic gel swelling under no constraint. Three points A, B, and C are marked. (b) Normalized vertical displacements w/L of three characteristic points (A, B, and C) versus normalized time Dt/L2 for both scaling factors α = 1 and α = 100. The inset shows the max principal strain contour at Dt/L2 = 160.

Grahic Jump Location
Fig. 3

(a) Schematic of gel indentation. (b) Evolution of indentation force F(t) with time t for two gels with different material parameters. The fitting curve based on F(t) = F(0)+ [F(∞)-F(0)][1-exp(-tτind)] is also given.

Grahic Jump Location
Fig. 2

(a) Schematic of a gel bar swelling in X3 direction. (b) Stretch in X3 direction λ3 as a function of X3 when Dt/L2 = 560 using both COMSOL and the present method.




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In