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- W1965719023 abstract "Sulci are localized furrows on the surface of soft materials that form by a compression-induced instability. We unfold this instability by breaking its natural scale and translation invariance, and compute a limiting bifurcation diagram for sulcfication showing that it is a scale-free, sub-critical {em nonlinear} instability. In contrast with classical nucleation, sulcification is {em continuous}, occurs in purely elastic continua and is structurally stable in the limit of vanishing surface energy. During loading, a sulcus nucleates at a point with an upper critical strain and an essential singularity in the linearized spectrum. On unloading, it quasi-statically shrinks to a point with a lower critical strain, explained by breaking of scale symmetry. At intermediate strains the system is linearly stable but nonlinearly unstable with {em no} energy barrier. Simple experiments confirm the existence of these two critical strains." @default.
- W1965719023 created "2016-06-24" @default.
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- W1965719023 date "2011-03-07" @default.
- W1965719023 modified "2023-09-30" @default.
- W1965719023 title "Unfolding the Sulcus" @default.
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- W1965719023 doi "https://doi.org/10.1103/physrevlett.106.105702" @default.
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