Mechanics of an elastic membrane infused with a liquid

•Coupled diffusion and deformation is studied in the framework of nonlinear membrane theory.•The model is derived as the leading order in thickness approximation to the three-dimensional theory.•An example involving axisymmetry illustrates the nonuniform swelling of the elastomer. [Display omitted]...

Full description

Saved in:
Bibliographic Details
Published in:International journal of mechanical sciences 2018-12, Vol.149, p.487-493
Main Authors: Goodbrake, C., Steigmann, D.J.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:•Coupled diffusion and deformation is studied in the framework of nonlinear membrane theory.•The model is derived as the leading order in thickness approximation to the three-dimensional theory.•An example involving axisymmetry illustrates the nonuniform swelling of the elastomer. [Display omitted] The mechanics of swelling and diffusion in fluid saturated elastomers has long interested workers in nonlinear elasticity theory. Here we broaden this subject by presenting a model for thin membranes, derived as the leading-order-in-thickness approximation to the three-dimensional theory.
ISSN:0020-7403
1879-2162
DOI:10.1016/j.ijmecsci.2017.07.062