Windadct said:
if the length is really 1 mm - it's terminations can probably dissipate all of the heat and the "system" will reach steady state temp and not fail.
Here's where i thought Windadct was leading you.
Look at the images here for single element fuse,
http://www1.cooperbussmann.com/library/arcflash/SPDFuseOperation.pdf
figure 1.
I've taken apart ten amp "semiconductor*" fuses of similar construction.
The element is a thin metal foil with narrow sections much like pictured.
The narrow section of the link is what melts.
At normal current the heat generated in the narrow section conducts into the wider sections and makes its way out of the fuse.
At abnormal current the heat can't get out fast enough so it goes into thermal runaway and melts at the narrow point.
The fuses i dissected were ten amp, as i said, and i'd estimate the element's narrowest part around 0.025 inch, 0.6 mm.
Please understand that's an estimate from memories twenty years old.
So i think a very short piece of #40 wire connected to an adequate heat sink as you described, might very well conduct ten amps.
As Windadct said it's a system.* "Semiconductor" means the fuse is designed for very fast action, to protect semiconductors. It's made of metal, often silver, not silicon like semiconductors.
It takes a fast fuse to protect semiconductors. In 1960's we had a saying - "transistors make really good fuse protectors."
old jim