Unfolding the Sulcus

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Unfolding the Sulcus

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Title: Unfolding the Sulcus
Author: Hohlfeld, Evan; Mahadevan, Lakshminarayanan

Note: Order does not necessarily reflect citation order of authors.

Citation: Hohlfel, Evan and Lakshminarayanan Mahadevan. 2011. Unfolding the sulcus. Physical Review Letters 106(10): 105702.
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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, subcritical nonlinear instability. In contrast with classical nucleation, sulcification is 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 no energy barrier. Simple experiments confirm the existence of these two critical strains.
Published Version: doi:10.1103/PhysRevLett.106.105702
Other Sources: http://www.seas.harvard.edu/softmat/downloads/2011-06.pdf
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:5128489
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