Modern Cannons - Solution
Or Super Can Openers for Super Cans 
    
To solve this seemingly intractable problem the designers of modern shot rounds (solid metal) use a sabot round with a depleted uranium core.  The sabot (means boot in French) has a large base for the interior ballistics, but the minute it leaves the muzzle the boot is pulled away by the airstream (to drop on the heads of the friendly infantry?) and a long baby spear continues down range, optimized for almost a thousand meters per sec. air drag, and then strikes the enemy tank.  It can be effective without penetration because the steel being hit will become a liquid (for a few micro seconds) and the shock wave will cause steel on the inside of the tank to come loose and fly around with most of the kinetic energy of the impact (conservation of momentum, elastic collision as far as the loose steel on the inside is concerned).  These lumps of molten steel, called spall, actually cause the casualties and damage that make the tank inoperable.  The damage on old tanks in museums is easy to see as the molten steel is spread out like a high speed photograph of a drop of water.  Interestingly an Anti-Tank projectile struck a church near Normandy and the stone also splatered as if it was a metal.
Sabot Separating

(photo courtesy of Wikipedia)  http://en.wikipedia.org/wiki/File:Sabot_separating.gif

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