Each diode is rated to carry a certain amount of current, once this level is exceeded, the diode will begin to overheat. Once the diode gets hot enough, the junction can melt. If this happens, the diode can start to conduct on both directions and will be destroyed. Another thing to remember is that even though a diode won't allow current to flow in the opposite direction under normal conditions, it is possible to introduce enough voltage that it jumps across the junction anyway. This will cause damage to the diode and it will not function any more. (The junction may vaporize!)