Abstract
The behavior of fast straight-cracks in brittle, linear-elastic solids was described exactly nearly half-a-century ago by Freund. However, the subsequent attempts to describe analytically the velocity and the energy release rate of fast circular-cracks predicted behaviors which were inconsistent with the observed, experimental evidence. In this manuscript, a novel M−integral approach was used to determine exactly the dynamic energy release rate of axisymmetric-cracks in brittle materials. The proposed model adapted Freund’s mode I, two-dimensional, fast-crack solution to the geometric constraints imposed by circular-cracks. The relationship between the crack-tip’s velocity and the crack’s radial-extension predicted by the current model tracked closely the experimental results for soda-lime glasses obtained in this work and the ones for various brittle materials reported in the literature. A variation of the model for the energy release rate of moving circular-cracks, which is applicable to fractal fracture-surfaces, was also described.
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