Frictional shear cracks
E. A. Brener, V. I. Marchenko+
Institut für Festkörperforschung, Forschungszentrum Jülich, D-52425 Jülich, Germany
+P.L. Kapitza Institute for Physical Problems RAS, 117334 Moscow, Russia
PACS: 46.50.+a, 46.55.+d, 62.20.-x
Abstract
We discuss crack propagation along the
interface between two dissimilar materials. The crack edge separates
two states of the interface, "stick" and "slip". In the slip
region we assume that the shear stress is proportional to the
sliding velocity, i.e. the linear viscous friction law. In this picture
the static friction appears as the Griffith threshold for
crack propagation. We calculate the crack velocity as a function
of the applied shear stress and find that the main dissipation
comes from the macroscopic region and is mainly due to the
friction at the interface. The relevance of our results to
recent experiments, Baumberger et al., Phys. Rev. Lett.
88, 075509 (2002), is discussed.