As noted in the above posts, there are (generally) two types of WWII anti tank rounds. Armor Piercing, and Shaped charge. HE was designed for other stuff, but could be used to attack tanks.
Amor piercing is essentially a big hard chunk of something designed to punch a hole in the armor through brute force. Technically, this is kinetic energy that is tranfered to the target. Mass*velocity= energy. So the bigger the round and the faster it is moving, the more punch it has.
Shaped charge is chemical energy.
Throughout the war there was a race between the armor and the guns to see who was better. As the war went on the armor got thicker and the guns got bigger.
Armor: As you make it thicker, armor gets heavier, and the tank lose speed and manueverability. (think Ferdinand, JSII, etc.) But make it too thin and you are in trouble (think m10). But if you slope the armor the armor seems thicker to the incoming shot (it is angled like this / / which is a longer distance than | |.) (think T34 and Panther) Plus the slope increase the chances that the incoming shot will glance off rather than penetrate. Hence the emphasis on reducing vertical sides, ‘shot traps’ and other places that would snag the shot and allow the full power of the kinetic energy to be delivered to the armor. But essentially, you are just punching a hole in the target.
HE Shot: High Explosive shot is primarily for use against light vehicles and infantry. But a big enough HE round against a target can have bad effect on the enemy. The force of the explosion is dipersed equally in all directions (physics, again). But a big bang close to crew can stun them or knock out systems like radios, gyros, vision systems, etc. Plus it can stun or even kill the crew. Or it can cause spalling, where a chunk of metal on the inside of the tank flakes off and goes bouncing around inside the tank. Needless to say, this was very bad for the crew. But HE just does not get the job done against armor, all things being equal.
AP shot: Armor Piercing shot has to be going fast, be hard, and be heavy. It needs a lot of energy to penetrate all that armor. But physics being what it is, every action has an equal but opposite reaction. So the force sending the round down the barrel will also send recoil back the other way with the same energy (think of the recoil on howitzers, etc.) There are limits to how big a shell you can fire before the recoil overcomes the gun and the tank. There was a great deal of effort expended to make the shot travel faster. One way to do this is to more propellent, which needs a longer burn time, and a longer time in the barrell to accelerate. Hence the longer and longer barrels on guns as the war went on. But the limits of tank size and engine horsepower made it extremely difficult to put a big enough gun on a tank and yet allow it to remain mobile or have enough armor. (open topped tanks and assault guns are ways to put a bigger gun on the same size tank)
The other way to increase the energy delivered down range is to make the shot bigger. Hence the progression of 50MM to 75mm to 105MM, to 120MM, etc. But evetually the physics catch up with you and you must have a very big gun platform to handle the recoil, etc.
There were also efforts to make the penetrators harder. The Germans liked Tungsten for it’s excellent density and hardness, for example.
HEAT, or Shaped charges: Through another quirk of physics (the Bernoulli effect, I think), an explosive charge with one concave face (one side with a cone shaped hole in it) will create a jet of plasma (molten gases) traveling in the direction of the cone instead of just dispersing in all directions like normal HE. You get a higher percentage of the power of the HE being delivered to the side of the tank. When a shaped charge explodes on armor, that jet of plasma literally burns a hole through the armor. So you can take an HE shell and carve a cone in it and get ten times the killing power for no increase in tank or gun size. An excellent deal. But there are limits. The shaped charge needs to be a certain distance from the armor to form the plasma jet. Too close was bad, so HEAT rounds were designed to explode several inches away from the tank to give the jet space to form properly. But too far away was bad as well. That is why the Germans and other put skirts and sandbags etc on tanks. They made the shaped charges explode too far away, which did not allow the plasma jet to form effectively, essentially converting them into normal, ineffective HE rounds.
Effects: Once the tank was hit by a round, bad things could happen. Small penetrations by AP rounds could bounce around inside, killing the crew and starting fires. (the physics of this converts a lot of the energy involved in to heat, so the penetrating metal would be VERY hot once it got inside. This starts fires, which is why tanks ‘brew up’ (burn) after they are hit. Or the hot shot would hit something flammable or explosive. Like fuel or ammo. And this would be bad and cause the catastrophic loss of the vehicle. Of course, sometimes the shot would merely pass completely through the tank (read Enemy at the Gates, Craig)
But the plasma jet from a shaped charge would almost always cause bad things to happen. Which made them deadly and effective tank killers.
So fires and explosions inside the tank are caused by a jet of plasma at 2,000 degrees or a chunk of superheated metal (again, at very high temperatures) coming in contact with flammable stuff, like ammo, fuel, or the odd crew member.
There are many good sources for more detail on this, but this is what I remember off the top of my head. Read Man Against Tank by Weeks as an excellent resource on this topic)
(This arms race continues, of course. Depleted Uranium shells are just away of getting more mass into the same size gun, ceramic armor melts at a higher temperature this preventing the plasma jet from penetrating; reactive armor explodes when hit, thus disrupting the plasma jet, etc.)
Physics is the Latin of tank warfare. Understand the root language of physics and you will understand the history of the tank!
Professor DerOberst