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Buckling of a stiff film bound to a compliant substrate (part I).
 

Summary: Buckling of a stiff film
bound to a compliant substrate (part I).
Formulation, linear stability
of cylindrical patterns, secondary bifurcations
Basile Audoly
Institut Jean le Rond d'Alembert, UMR 7190 du CNRS,
CNRS/Universit´e Pierre et Marie Curie, 4 place Jussieu, F-75252 Paris Cedex 05
Arezki Boudaoud
Laboratoire de Physique Statistique, UMR 8550 du CNRS/Paris 6/Paris 7
´Ecole normale sup´erieure, 24 rue Lhomond, F-75231 Paris Cedex 05
Abstract
The buckling of a thin elastic film bound to a compliant substrate is studied: we
analyze the different patterns that arise as a function of the biaxial residual com-
pressive stress in the film. We first clarify the boundary conditions to be used at the
interface between film and substrate. We carry out the linear stability analysis of
the classical pattern made of straight stripes, and point out secondary instabilities
leading to the formation of undulating stripes, varicose, checkerboard or hexagonal
patterns. Straight stripes are found to be stable only in a narrow window of load
parameters. We present a weakly nonlinear post-buckling analysis of these patterns:
for equi-biaxial residual compression, straight wrinkles are never stable and square

  

Source: Audoly, Basile - Institut Jean Le Rond D'Alembert, Université Pierre-et-Marie-Curie, Paris 6

 

Collections: Materials Science; Physics