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

Summary: Buckling of a stiff film
bound to a compliant substrate (part III).
Herringbone solutions
at large buckling parameter
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 compressed thin elastic film bonded to a compliant sub-
strate. An asymptotic solution of the equations for a plate on an elastic foundation
is obtained in the limit of large residual stress in the film. In this limit, the film's
shape is given by a popular origami folding, the Miura-ori, and is composed of par-
allelograms connected by dihedral folds. This asymptotic solution corresponds to
the herringbone patterns reported previously in experiments: the crests and valleys
of the pattern define a set of parallel, sawtooth-like curves. The kink angle obtained
when observing these crests and valleys from above are shown to be right angles
under equi-biaxial loading, in agreement with the experiments. The absolute min-


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


Collections: Materials Science; Physics