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Nonlinear Focusing in Dynamic Crack Fronts and the Microbranching Transition
Itamar Kolvin1, Jay Fineberg1, Mokhtar Adda-Bedia2
1Racah Institute of Physics, The Hebrew University of Jerusalem, Jerusalem, Israel 9190401.
Abstract:
Cracks in brittle materials produce two types of generic surface structures: facets at low velocities and microbranches at higher ones. Here we observe a transition from faceting to microbranching in polyacrylamide gels that is characterized by nonlinear dynamic localization of crack fronts. To better understand this process we derive a first-principles nonlinear equation of motion for crack fronts in the context of scalar elasticity. Its solution shows that nonlinear focusing coupled to rate dependence of dissipation governs the transition to microbranching.
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