This Article Full Text (PDF) All Versions of this Article: 1081286504046484v1 11/3/291    most recent References Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Add to Saved Citations Download to citation manager Request Permissions Request Reprints Add to My Marked Citations Citing Articles Citing Articles via HighWire Citing Articles via Google Scholar Citing Articles via Scopus Google Scholar Articles by Prasad, S. C. Articles by Rajagopal, K. R. Search for Related Content Social Bookmarking                         What's this?

On the Diffusion of Fluids Through Solids Undergoing Large Deformations

Department of Mechanical Engineering, Texas A&M University, College Station, Texas 77843, USA

K. R. Rajagopal

Department of Mechanical Engineering, Texas A&M University, College Station, Texas 77843, USA

In this paper, we investigate the problem of diffusion of a Newtonian fluid through a non-linearly elastic solid undergoing large deformations, within the framework of mixture theory. Our aim is to delineate the effect of various boundary conditions on the diffusion process. We find that the results are quite insensitive to the boundary conditions in that the predictions agree exceedingly well with the experiments (whether it is the saturation boundary condition used by Rajagopal, Wineman and Gandhi, the traction splitting boundary condition used by Rajagopal and Tao, the natural boundary condition used by Baek and Srinivasa, or the fact that the chemical potential is continuous across the boundary), provided that an appropriate choice is made for the drag.

Key Words: Swelling • mixture theory • Helmholtz potential • chemical potential • saturation • boundary condition

This version was published on June 1, 2006

Mathematics and Mechanics of Solids, Vol. 11, No. 3, 291-305 (2006)
DOI: 10.1177/10812865046484


CiteULike    Complore    Connotea    Del.icio.us    Digg    Reddit    Technorati    Twitter    What's this?

This article has been cited by other articles:

				A. Muliana, K.R. Rajagopal, and S. C. Subramanian Degradation of an Elastic Composite Cylinder due to the Diffusion of a Fluid Journal of Composite Materials, June 1, 2009; 43(11): 1225 - 1249. [Abstract] [PDF]