Nonlinear Focusing in Dynamic Crack Fronts and the Microbranching Transition

Itamar Kolvin; Jay Fineberg; Mokhtar Adda-Bedia

doi:10.1103/PhysRevLett.119.215505

Nonlinear Focusing in Dynamic Crack Fronts and the Microbranching Transition

Itamar Kolvin, Jay Fineberg, Mokhtar Adda-Bedia

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

7 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 language	American English
Article number	215505
Journal	Physical Review Letters
Volume	119
Issue number	21
DOIs	https://doi.org/10.1103/PhysRevLett.119.215505
State	Published - 21 Nov 2017

Bibliographical note

Funding Information:
We thank Eran Bouchbinder for a thorough reading of the manuscript. J. F. and I. K. acknowledge the support of the Israel Science Foundation (Grant No. 1523/15), as well as the US-Israel Bi-national Science Foundation (Grant No. 2016950).

Publisher Copyright:
© 2017 American Physical Society.

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10.1103/PhysRevLett.119.215505

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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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AB - 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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Nonlinear Focusing in Dynamic Crack Fronts and the Microbranching Transition

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