JosephKendall,
An excellent treatise on the subject was presented in the April '79 issue of EC&M (Electrical Construction & Maintenance) magazine. It was presented by Dr. K.D. Srivastava of University of Waterloo, in Canada.
Four graphs show that a straight-line relationship between time and current, plotted on a log-log scale, also can be found for short-time overload... defined as being from 10 to 1,000 seconds.
Thus, if you have access to the typical Short-Circuit stress curves, then, by extending the time axis, you can determine the over-load thermal capability line for the cable & current condition you are concerned about.