A Model for Dynamic Crack Propagation in a Double-Torsion Fracture Specimen

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Abstract
A simple one-dimensional mathematical model for rapid fracture and crack arrest in a double-torsion fracture specimen is developed. The model indicates that the crack speed is limited by the torsional wave speed, which depends upon the shear wave speed and the cross-sectional geometry. By appropriate design of the specimen, it appears that some control can be exercised over the portion of the fracture toughness-crack speed relation that the crack tip samples. Analyses are performed for both speed-independent and speed-dependent fracture toughnesses. Qualitatively the predicted crack history for this specimen has many of the characteristics predicted and measured in the more traditional specimens.

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