The Effects of Hyperbolic Heat Conduction Around a Dynamically Propagating Crack Tip
Abstract
Using infrared detectors, Zehnder and Rosakis,(1) Zehnder and Kallivayalil(2) and Mason and Rosakis,(3) have recorded the temperature field around a dynamically propagating crack tip in several metals. At the same time, Tzou(4,5) has suggested that the temperature field around a propagating crack tip might exhibit some of the characteristics of hyperbolic heat conduction. In this paper it is shown, by using a corrected solution of the hyperbolic heat conduction equation for a traveling point source and by using an experimental estimate of the active plastic zone (heat generating zone) at a crack tip, that the effects of hyperbolic heat conduction around a propagating crack tip are not observed for the conditions of the experiments. It is shown that due to the adiabatic conditions at the crack tip the solution of the hyperbolic heat equation is indistinguishable from the solution of the parabolic heat conduction equation for crack propagation in steel. Some features of the solution are examined for conditions other than those in the experiments.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1992
- Accession Number
- ADA253536
Entities
People
- Ares J. Rosakis
- James J. Mason
Organizations
- California Institute of Technology