Phys. Rev. Lett. 91, 215507 (2003) [4 pages]Crack Street: The Cycloidal Wake of a Cylinder Tearing through a Thin SheetSee Also: Erratum Received 22 July 2003; published 21 November 2003 When a cylindrical tool cuts through a thin sheet of a relatively brittle material, it leaves behind a visually arresting crack street in its wake, reminiscent of a vortex street in the wake of a cylinder moving through a fluid. We show that simple geometrical arguments based on the interplay of in-plane stretching and out-of-plane bending suffice to explain the cycloidal morphology of the curved crack. The coupling between geometry and dynamics also allows us to explain the “stick-slip”-like behavior of tearing and suggests that these oscillations should occur generically in the brittle fracture of thin solid films. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.215507
DOI:
10.1103/PhysRevLett.91.215507
PACS:
62.20.Mk, 46.50.+a, 47.54.+r, 92.10.Rw
See AlsoErratum: A. Ghatak and L. Mahadevan, Erratum: Crack Street: The Cycloidal Wake of a Cylinder Tearing through a Thin Sheet [Phys. Rev. Lett. 91, 215507 (2003)], Phys. Rev. Lett. 94, 119901 (2005). Reply: A. Ghatak and L. Mahadevan, Ghatak and Mahadevan Reply:, Phys. Rev. Lett. 94, 129602 (2005). Reply: B. Audoly, B. Roman, and P. M. Reis, Comment on “Crack Street: The Cycloidal Wake of a Cylinder Tearing through a Thin Sheet”, Phys. Rev. Lett. 94, 129601 (2005). |
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