Dynamics and Instabilities of Planar Tensile Cracks in Heterogeneous Media

Details Dynamics and Instabilities of Planar Tensile Cracks in Heterogeneous Media Dynamics and Instabilities of Planar Tensile Cracks in Heterogeneous Media

1997-01-23

arxiv.org/abs/cond-mat/9701177v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

12 pages

Scientific paper

10.1103/PhysRevLett.79.877

The dynamics of tensile crack fronts restricted to advance in a plane are studied. In an ideal linear elastic medium, a propagating mode along the crack front with a velocity slightly less than the Rayleigh wave velocity, is found to exist. But the dependence of the effective fracture toughness $\Gamma(v)$ on the crack velocity is shown to destabilize the crack front if $(d\Gamma)/(dv)<0$. Short wavelength radiation due to weak random heterogeneities leads to this instability at low velocities. The implications of these results for the crack dynamics are discussed.

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