Nonlinear Focusing in Dynamic Crack Fronts and the Microbranching Transition

Itamar Kolvin, Jay Fineberg, Mokhtar Adda-Bedia

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11 Scopus citations

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.

Original languageAmerican English
Article number215505
JournalPhysical Review Letters
Volume119
Issue number21
DOIs
StatePublished - 21 Nov 2017

Bibliographical note

Publisher Copyright:
© 2017 American Physical Society.

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