Ken,
Most metals have a positive Temperature Coefficient of Resistance (TCR).
As they get hotter, their resistivity-- and the resistance of a given
conductor-- increases.  If you have a current source (or a voltage
source with a large series impedance) driving current through a small
cross-section conductor with poor heat sinking for a long time, the
conductor will go into thermal runaway-- and eventually melt in two--
when the current through it exceeds a certain critical value, depending
on the ambient temperature.  

A. J. Rainal wrote two papers about this effect on printed circuit
boards (PCB's) about 40 years ago:
*  Rainal, A. J., "Current-Carrying Capacity of Fine-Line Printed 
   Conductors," The Bell System Technical Journal, vol. 60 no. 7, pp. 
   1375-1388, September 1981.
*  Rainal, A. J., "Temperature Rise at a Constriction in a 
   Current-Carrying Printed Conductor," The Bell System Technical 
   Journal, vol. 55 no. 2, pp. 233-269, February 1976.

Non-resettable fuses use this principle, which is specified by the 
I^2t curves in their datasheets.

You may also want to read up on Preece's Law (Fuse Equations) and
Onderdonk's Fuse Equation.



John Barnes KS4GL  (retired)
Lexington, Kentucky
http://www.dbicorporation.com/

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