What would a full blown Euro unraveling actually look like? Since (if I'm understanding this correctly) one can't leave the Euro without withdrawing from the EU altogether, would the end of the Euro mean the end of the EU? (Which I guess would then probably be followed some kind of rebuilding of the EU through brand new treaties, but without a common currency?)
The Euro if it collapse, won't be the first transnational European valuta to collapse, both the Krone/Krona and the Franc started as valutas with 1 to 1 exchange rates between the countries which used them. Both fixed exchange rate collapse around WWI. While the Euro is close, the same would happen here. The different countries would continue to use Euros, but you wouldn't be able to use them in the neighbouring countries, and they would be sold at different rates on the international markets. A Greek Euro would likely collapse and become like the Lira or Drachma, while the value of the German Euro would rise sharply. Some countries may change the name of the valuta, but most would likely just keep it, rather than vaste the resources on changing the name.