Abstract
For a crack propagating in the 4340 steel with a speed of 900 m/s, the temperature wave solution at the transonic stage is compared with the recent experimental results by Zehnder and Rosakis [8]. The analytical solution preserves all the salient features of the temperature field observed in the experiment. They include: (1) a family of parallel isotherms behind the crack tip, (2) a constant temperature gradient in the vicinity of the crack tip, and (3) an intensified thermal energy cumulated in the immediate vicinity ahead of the crack tip. The excellent agreements between the theory and the experiment reveals that the phase lag between the temperature gradient and the heat flux vector is important in modeling the heat conduction in the vicinity of a rapidly propagating crack tip. The wave propagation, as a result, dominates over the diffusion behavior.
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