Confinement-induced instability of thin elastic film

A. Ghatak
Phys. Rev. E 73, 041601 – Published 6 April 2006

Abstract

A confined incompressible elastic film does not deform uniformly when subjected to adhesive interfacial stresses but with undulations which have a characteristic wavelength scaling linearly with the thickness of the film. In the classical peel geometry, undulations appear along the contact line below a critical film thickness or below a critical curvature of the plate. Perturbation analysis of the stress equilibrium equations shows that for a critically confined film the total excess energy indeed attains a minimum for a finite amplitude of the perturbations which grow with further increase in the confinement.

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  • Received 22 October 2005

DOI:https://doi.org/10.1103/PhysRevE.73.041601

©2006 American Physical Society

Authors & Affiliations

A. Ghatak

  • Department of Chemical Engineering, Indian Institute of Technology, Kanpur 208016, India

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Issue

Vol. 73, Iss. 4 — April 2006

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