Branching Instabilities in Rapid Fracture: Dynamics and Geometry

Details Branching Instabilities in Rapid Fracture: Dynamics and Geometry Branching Instabilities in Rapid Fracture: Dynamics and Geometry

2004-10-18

arxiv.org/abs/cond-mat/0410448v1

Phys. Rev. E 71, 056118 (2005)

Physics

Condensed Matter

Materials Science

9 pages, 11 figures

Scientific paper

10.1103/PhysRevE.71.056118

We propose a theoretical model for branching instabilities in 2-dimensional fracture, offering predictions for when crack branching occurs, how multiple cracks develop, and what is the geometry of multiple branches. The model is based on equations of motion for crack tips which depend only on the time dependent stress intensity factors. The latter are obtained by invoking an approximate relation between static and dynamic stress intensity factors, together with an essentially exact calculation of the static ones. The results of this model are in good agreement with a sizeable quantity of experimental data.

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