Mathematics and Mechanics of Solids

 

Advanced Search

Journal Navigation

Journal Home

Subscriptions

Archive

Contact Us

Table of Contents

Register here to gain access to SAGE's 500+ Journals Online

Sign In to gain access to subscriptions and/or personal tools.
This Article
Right arrow Full Text (OnlineFirst PDF)
Right arrow All Versions of this Article:
1081286506068823v1
13/1/3    most recent
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to Saved Citations
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow Request Reprints
Right arrow Add to My Marked Citations
Citing Articles
Right arrow Citing Articles via Google Scholar
Google Scholar
Right arrow Articles by Majidi, C.
Right arrow Articles by Fearing, R. S.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us   Add to Digg   Add to Reddit   Add to Technorati  
What's this?
First published on January 31, 2007, doi:10.1177/1081286506068823

Mathematics and Mechanics of Solids 2008;13:3.

A more recent version of this article appeared on February 1, 2008

Article

Analysis of Shaft-Loaded Membrane Delamination Using Stationary Principles

Carmel Majidi*, Richard E. Groff, Ron S. Fearing

Department of Electrical Engineering and Computer Science University of California Berkeley, CA 94720, USA

* To whom correspondence should be addressed.


  Abstract

The following analysis investigates the delamination of an elastic membrane which on one side adheres to a smooth substrate while the other side is attached to a rigid cylindrical shaft. When the shaft is pulled perpendicularly from the substrate, this system is equivalent to the blister test of Malyshev and Salganik (International Journal of Fracture Mechanics, 1, 114 (1965)) and a solution is derived using the principle of minimum potential energy. Delamination can also be caused by rotating the shaft, which may be induced by a shear load and/or moment applied to the free end. For this more complicated system, an approximate solution is obtained from upper and lower bounds on strain energy that are derived from stationary principles with restricted deformation and stress fields, respectively. Beyond their applicability to blister tests, these results are relevant to the emerging study of biologically-inspired adhesives, as membranes constitute a critical attachment structure for a variety of wall-clinging organisms.

Key Words: Non-linear membrane theory, stationary principles, complementary energy, Hencky strain measure


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us   Add to Digg Digg   Add to Reddit Reddit   Add to Technorati Technorati    What's this?