Vol. 4, No. 1, 2009

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ISSN: 1559-3959
Investigating the secondary buckling of thin films with a model based on elastic rods with hinges

Guillaume Parry, Christophe Coupeau, Jérôme Colin and Alain Cimetière

Vol. 4 (2009), No. 1, 121–138
Abstract

Thin films are usually submitted to high residual compression stresses which cause them to delaminate and buckle. We focus on the case in which delaminated areas take the form of long rectangular strips. The most commonly observed buckling equilibria that develop on such strip-delaminated areas are the straight-sided wrinkle, the row of bubbles, and the telephone cord wrinkle. An analytical model, based on elastic rods with hinges and taking into account the contact between film and substrate, is set up for the study of the post-buckling regime of the transition from straight-sided wrinkles to bubbles. The existence of snap-through is investigated; previous numerical studies revealed that this phenomenon can sometimes occur. The present analytical approach excludes numerical artifacts that can easily arise due to the high sensitivity of this problem to initial imperfections. The model reveals a critical bubble aspect ratio associated with the snap-through, and the existence of several simultaneous bubble equilibria.

Keywords
mechanical properties of thin films, static buckling, instability, variational and optimizational methods, elastic rods with hinges models
Milestones
Received: 8 October 2008
Revised: 4 December 2008
Accepted: 4 December 2008
Published: 8 April 2009
Authors
Guillaume Parry
Laboratoire SIMaP/LTPCM
CNRS UMR 5266-INPG-UJF
1130 Rue de la Piscine
38402 Saint Martin d’Hères
France
Christophe Coupeau
Laboratoire de Metallurgie Physique (LMP)
UMR 6630 du CNRS
Université de Poitiers
BP 30179
86962 Futuroscope Cedex
France
Jérôme Colin
Laboratoire de Metallurgie Physique (LMP)
UMR 6630 du CNRS
Université de Poitiers
BP 30179
86962 Futuroscope Cedex
France
Alain Cimetière
Laboratoire de Metallurgie Physique (LMP)
UMR 6630 du CNRS
Université de Poitiers
BP 30179
86962 Futuroscope Cedex
France