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Dynamics and Instabilities of Planar Tensile Cracks in Heterogeneous Media

Sharad Ramanathan·Daniel S. Fisher
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Abstract

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 $Γ(v)$ on the crack velocity is shown to destabilize the crack front if $(dΓ)/(dv)<0$. 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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Sharad Ramanathan, Daniel S. Fisher. 1997-01-23. Dynamics and Instabilities of Planar Tensile Cracks in Heterogeneous Media. https://doi.org/10.1103/physrevlett.79.877

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