Unfolding the Sulcus
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CitationHohlfel, Evan and Lakshminarayanan Mahadevan. 2011. Unfolding the sulcus. Physical Review Letters 106(10): 105702.
AbstractSulci 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.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:5128489
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