Abstract
A steady state dynamic solution for a Dugdale crack propagating at a constant speed is obtained with the Sneddon-Radok formulation of the dynamic plane elasticity equations. The dynamic stress distribution and the Tresca yield condition are used to determine the limiting ductile crack propagation speed. It is shown that the limiting brittle crack speed criteria of Yoffe and of Craggs are satisfied as well. A simple relation between the flow stress and the crack speed based on observations of ductile crack propagation in steel foil is utilized in order to express the limiting speed in terms of the applied load and material properties. Calculated values of the limiting speed in steel and aluminium sheets are found to be not strongly dependent on the applied load and are about 0-1C 2 and 0-3C 2, respectively.
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