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Propagating solitary waves along a rapidly moving crack front

Nature volume 410, pages 68–71 (2001)Cite this article

Abstract

A rapidly moving crack in a brittle material is often idealized1 as a one-dimensional object with a singular tip, moving through a two-dimensional material. However, in real three-dimensional materials, tensile cracks form a planar surface whose edge is a rapidly moving one-dimensional singular front. The dynamics of these fronts under repetitive interaction2,3,4 with material inhomogeneities (asperities) and the morphology5,6,7,8,9,10,11 of the fracture surface that they create are not yet understood. Here we show that perturbations12 to a crack front in a brittle material result in long-lived and highly localized waves, which we call ‘front waves’. These waves exhibit a unique characteristic shape and propagate along the crack front at approximately13,14,15 the Rayleigh wave speed (the speed of sound along a free surface). Following interaction, counter-propagating front waves retain both their shape and amplitude. They create characteristic traces along the fracture surface, providing cracks with both inertia and a new mode of dissipation. Front waves are intrinsically three-dimensional, and cannot exist in conventional two-dimensional theories of fracture1. Because front waves can transport and distribute asperity-induced energy fluctuations throughout the crack front, they may help to explain how cracks remain a single coherent entity, despite repeated interactions with randomly dispersed asperities.

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Figure 1: Highly localized propagating front waves form tracks along the fracture surface.
Figure 2: Determination of front-wave velocities by analysis of their tracks on the fracture surface.
Figure 3: Front waves undergo a rapid initial decay.
Figure 4: Asymptotically, front waves attain a characteristic, highly localized (soliton-like) profile.

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Acknowledgements

The authors acknowledge the support of the United States–Israel Binational Fund.

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Authors and Affiliations

  1. The Racah Institute of Physics, The Hebrew University of Jerusalem, Givat Ram, Jerusalem, Israel

    Eran Sharon, Gil Cohen & Jay Fineberg

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  1. Eran Sharon
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  2. Gil Cohen
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Correspondence to Jay Fineberg.

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Sharon, E., Cohen, G. & Fineberg, J. Propagating solitary waves along a rapidly moving crack front. Nature 410, 68–71 (2001). https://doi.org/10.1038/35065051

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