Furrows in the wake of propagating d-cones

Omer Gottesman, Efi Efrati, Shmuel M. Rubinstein*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


A crumpled sheet of paper displays an intricate pattern of creases and point-like singular structures, termed d-cones. It is typically assumed that elongated creases form when ridges connecting two d-cones fold beyond the material yielding threshold, and scarring is thus a by-product of the folding dynamics that seek to minimize elastic energy. Here we show that rather than merely being the consequence of folding, plasticity can act as its instigator. We introduce and characterize a different type of crease that is inherently plastic and is formed by the propagation of a single point defect. When a pre-existing d-cone is strained beyond a certain threshold, the singular structure at its apex sharpens abruptly. The resulting focusing of strains yields the material just ahead of the singularity, allowing it to propagate, leaving a furrow-like scar in its wake. We suggest an intuitive fracture analogue to explain the creation of furrows.

Original languageAmerican English
Article number7232
JournalNature Communications
StatePublished - 11 Jun 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2015 Macmillan Publishers Limited.


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