CUED Publications database

On the stability of a rod adhering to a rigid surface: Shear-induced stable adhesion and the instability of peeling

Majidi, C and Oreilly, OM and Williams, JA (2012) On the stability of a rod adhering to a rigid surface: Shear-induced stable adhesion and the instability of peeling. Journal of the Mechanics and Physics of Solids, 60. pp. 827-843. ISSN 0022-5096

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Abstract

Using variational methods, we establish conditions for the nonlinear stability of adhesive states between an elastica and a rigid halfspace. The treatment produces coupled criteria for adhesion and buckling instabilities by exploiting classical techniques from Legendre and Jacobi. Three examples that arise in a broad range of engineered systems, from microelectronics to biologically inspired fiber array adhesion, are used to illuminate the stability criteria. The first example illustrates buckling instabilities in adhered rods, while the second shows the instability of a peeling process and the third illustrates the stability of a shear-induced adhesion. The latter examples can also be used to explain how microfiber array adhesives can be activated by shearing and deactivated by peeling. The nonlinear stability criteria developed in this paper are also compared to other treatments. © 2012 Elsevier Ltd. All rights reserved.

Item Type: Article
Uncontrolled Keywords: Adhesion Elastica Material forces Rod theory Stability
Subjects: UNSPECIFIED
Divisions: Div C > Materials Engineering
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:22
Last Modified: 22 Dec 2014 03:45
DOI: 10.1016/j.jmps.2012.01.015