Journal
APPLIED PHYSICS LETTERS
Volume 110, Issue 15, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.4980064
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The microbranching instability occurring for rapidly propagating cracks in brittle materials has been described in various experiments as an intrinsically three-dimensional phenomenon. Using a variational phase-field model, we show that the microbranching process is, indeed, a three-dimensional instability which exhibits a strong dependence on the sample width and can be suppressed for very thin samples. We show that the phase-field internal length scale is the decisive variable governing the branching pattern, which can be either localized in the transverse direction as observed in a glass, for example, or, on the contrary, almost translational invariant with quasi-periodic structures, as observed in PMMA. Published by AIP Publishing.
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