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Can crack front waves explain the roughness of cracks? |
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| Authors: | E BouchaudJP Bouchaud DS Fisher S RamanathanJR Rice |
| Institution: | a Service de Physique et de Chimie des Surfaces et des Interfaces, Centre d’Études de Saclay, 91191 Gif-sur-Yvette, Cedex, France b Service de Physique de l’État Condensé, Centre d’Études de Saclay, Orme des Merisiers, 91191 Gif-sur-Yvette, Cedex, France c Physics Department, Lyman Laboratory, Harvard University, Cambridge, MA 02138, USA d Division of Engineering and Applied Science, Harvard University, Cambridge, MA 02138, USA e Bell Laboratories, Lucent Technologies, Murray Hill, NJ 07974 USA f Department of Earth and Planetary Sciences, Harvard University, Cambridge, MA 02138, USA |
| Abstract: | We review recent theoretical progress on the dynamics of brittle crack fronts and its relationship to the roughness of fracture surfaces. We discuss the possibility that the small scale roughness of cracks, which is characterized by a roughness exponent ?0.5, could be caused by the generation, during local instabilities by depinning, of diffusively broadened corrugation waves, which have recently been observed to propagate elastically along moving crack fronts. We find that the theory agrees plausibly with the orders of magnitude observed. Various consequences and limitations, as well as alternative explanations, are discussed. We argue that another mechanism, possibly related to damage cavity coalescence, is needed to account for the observed large scale roughness of cracks that is characterized by a roughness exponent ?0.8. |
| Keywords: | A Dynamic fracture Surface roughness A Crack branching and bifurcation C Fractography |
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