What about the Dynamic Armour proposed for the new USB carriers? Design specifically to defeat a heat warhead as I understand it.
I'm not an expert on this new type of armor and I'm actually a little bit unclear on what the purpose of it is on the new carriers. It's also a different question than the original post in this thread. Bearing all that in mind, perhaps we need to revisit some basic principles of military ship design that were discussed in another thread recently on the topic of bringing back old battleship-style armor to ships:
1. In the modern age, dating back to World War II, the cost of armoring a ship is out of all proportion to the cost of penetrating that armor.... This is why battleships became obsolete but the same grim physics applies to any ship. Any sea power with tactical nuclear weapons can, by definition, sink any size of existing ship regardless of its armor. Going down a level, any major sea power can either use its existing conventional weapons to knock a ship out of fighting capacity (a "mission kill"), or it could develop weapons capable of doing that for a fraction of the cost of your fancy new armored ships. Offensive power has simply increased to the point where taking a hit is no longer a safe proposition.
2. ... and that's okay. We used to armor up battleships because they could only fight at short range and their range was inevitably going to be about the same range as the enemy's battleships. The situation is no longer that clearcut. An old-fashioned armoured warship, even the best late classes like the Iowa ships, would be mission killed by a modern warship using missiles long before it got into range to use its big guns.
3. So, it's better not to be hit in the first place. Modern ships, including carriers, do have some armor over the most critical spaces. Usually this is Kevlar, I believe. Perhaps the call is to replace the Kevlar with electric armor; I do not know how advanced such plans are. However, they won't change the fundamental fact, which is that warships' primary defensive measure nowadays is to avoid getting hit in the first place. To that end, weighing down a ship with lots of armor slows it down, which makes it more vulnerable, and is therefore generally seen as a bad thing. The most important defenses any aircraft carrier have are its speed, its onboard aircraft, its escort ships, and some form of close-in weapons system like Phalanx for last-ditch attempts to shoot down an approaching enemy missile in flight.
All of this said, again, perhaps there is a very good military case for revolutionary new types of armor. However, those types of armor will serve in the same role as the Kevlar and other types do now, to hopefully reduce the chances that splinters, shrapnel, etc. cause catastrophic damage.