%0 Journal Article
%T Hierarchical folding of elastic membranes under biaxial compressive stress
%+ Laboratoire Charles Coulomb (L2C)
%A Kim, Pilnam
%A Abkarian, Manouk
%A Stone, H.A.
%< avec comité de lecture
%Z L2C:11-248
%@ 1476-1122
%J Nature Materials
%I Nature Publishing Group
%P 1-6
%8 2011-12-01
%D 2011
%R 10.1038/NMAT3144
%K Instabilité élastique
%K film
%K plis
%K rides
%K nervures
%K réseau réticulé
%Z Physics [physics]/Mechanics [physics]/Structural mechanics [physics.class-ph]
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph]
%Z Physics [physics]/Condensed Matter [cond-mat]/Soft Condensed Matter [cond-mat.soft]
%Z Life Sciences [q-bio]/Development Biology/MorphogenesisJournal articles
%X Mechanical instabilities that cause periodic wrinkling during compression of layered materials find applications in stretch- able electronics1-3 and microfabrication4-7 , but can also limit an application's performance owing to delamination or cracking under loading8 and surface inhomogeneities during swelling9. In particular, because of curvature localization, finite defor- mations can cause wrinkles to evolve into folds. The wrinkle- to-fold transition has been documented in several systems, mostly under uniaxial stress10-13. However, the nucleation, the spatial structure and the dynamics of the invasion of folds in two-dimensional stress configurations remain elusive. Here, using a two-layer polymeric system under biaxial compressive stress, we show that a repetitive wrinkle-to-fold transition generates a hierarchical network of folds during reorganization of the stress field. The folds delineate individual domains, and each domain subdivides into smaller ones over multiple gen- erations. By modifying the boundary conditions and geometry, we demonstrate control over the final network morphology. The ideas introduced here should find application in the many situa- tions where stress impacts two-dimensional pattern formation.
%G English
%L hal-00639931
%U https://hal.science/hal-00639931
%~ CNRS
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021