Vol. 1, No. 1, 2013

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On the theory of diffusion and swelling in finitely deforming elastomers

Gary J. Templet and David J. Steigmann

Vol. 1 (2013), No. 1, 105–128
Abstract

The role of a relaxed local intermediate configuration associated with free swelling is examined in the context of diffusion of a liquid in an isotropic elastomer. It is found that this configuration is energetically optimal if the free-energy function of the polymer-liquid gel is polyconvex. Further aspects of the general theory of diffusion in elastomers are also discussed.

Keywords
diffusion, polymers, polyconvexity
Mathematical Subject Classification 2010
Primary: 74FXX
Milestones
Received: 8 May 2012
Revised: 25 July 2012
Accepted: 26 September 2012
Published: 6 February 2013

Communicated by Pierre Seppecher
Authors
Gary J. Templet
Department of Mechanical Engineering
University of California, Berkeley
Berkeley, CA 94720
United States
David J. Steigmann
Department of Mechanical Engineering
University of California, Berkeley
Berkeley, CA 94720
United States