To understand the challenge of breaking DC current one has to appreciate the fact the 60hz AC goes through zero 2 times each cycle which is zero volts. When the moving contact moves away from the stationary contact to interrupt the current this aids in interrupting the current flow. As the arc is pulled up through the arc chutes the arc is spit up deionized and cooled.
The problem with DC the current does not go through zero volts so the potential persists between the moving and stationery contacts as the contacts open. When the DC arc is struck what clears it. It's the what ever resistance that can overcome the voltage between the contacts which is air and the arc chute ability to deionize the DC arc. As indicated in one of the other posts the dc voltage is usually limited to 250v or even 125v as I recall depending upon the breaker.
Another means of applying a breaker on DC is series connecting the poles. For example, a 3p breaker can be connected such that the line is connected to the line end of the pole on the far left, then from the load end of that pole the load end of the center pole, from the line of the center pole to the line of the right pole and the load end of the right pole to the load. The contacts are placed in series, which adds to the contact gap and increases the interrupting capability on DC. This can be done on either the positive or negative line. Often time 2poles are series on the positive line to the load and the negative is run from the load back through the third pole of the breaker which accomplishes the same thing.
Also, the I2t inverse time current curve will not be the same as AC as far as I can recall.
As a side note electronic trip breaker don?t respond to DC current.