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Phys. Rev. Lett. 98, 124302 (2007) [4 pages]

Oscillatory Instability in Two-Dimensional Dynamic Fracture

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Eran Bouchbinder and Itamar Procaccia
Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel

Received 6 September 2006; published 21 March 2007

The stability of a rapid dynamic crack in a two-dimensional infinite strip is studied in the framework of linear elastic fracture mechanics supplemented with a modified principle of local symmetry. It is predicted that a single crack becomes unstable by a finite wavelength oscillatory mode at a velocity vc, 0.8cR<vc<0.85cR, where cR is the Rayleigh wave speed. The relevance of this theoretical calculation to the oscillatory instability reported in the companion experimental Letter is discussed.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.124302
DOI:
10.1103/PhysRevLett.98.124302
PACS:
46.50.+a, 62.20.Mk

See Also

See Also: Ariel Livne, Oded Ben-David, and Jay Fineberg, Oscillations in Rapid Fracture, Phys. Rev. Lett. 98, 124301 (2007).