Oscillatory instability in two-dimensional dynamic fracture.
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.
Bouchbinder
Eran
E
Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel.
Procaccia
Itamar
I