A friend of mine had the contacts fall off the terminals on the heated rear windscreen.
She showed me the connecting wires: they were simply thick sections of stranded wire (about AWG16 I'd guess) approx. 3 inches long, with a spade crimped to one end and the other end soldered to a contact about 1 cm², and, silver on the side which was supposed to be connected to the windscreen.
The garage she originally took it to, said that if she knew someone with a cold press they could re-attach them. None of the places she tried had any ideas, so, in the end she just had the whole windscreen replaced.
I've Googled cold press with no luck. I did find a few people who had re-connected the contacts with PCB repair fluid/pen or other conductive glue and then formed a strong mechanical joint over the whole area.
Of course there may be a completely different name for this thing in the US, but, again I had no luck searching.
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