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

Summary: Buckling of a stiff film
bound to a compliant substrate (part II).
A global scenario for the formation
of herringbone pattern
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
We study the buckling of a thin compressed elastic film bonded to a compliant
substrate. We focus on a family of buckling patterns, such that the film profile is
generated by two functions of a single variable. This family includes the unbuck-
led configuration, the classical primary mode made of straight stripes, as well the
pattern with undulating stripes obtained by a secondary instability investigated in
the first companion paper, and the herringbone pattern studied in last compan-
ion paper. A simplified buckling model relevant for the analysis of these patterns
is introduced. It is solved analytically for moderate or for large residual compres-
sive stress in the film. Numerical simulations are presented, based on an efficient


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


Collections: Materials Science; Physics