the rated breaking current (or less) can also damage or destroy an MCB. It is only rated to break it once.
That isn't quite how it's
supposed to work on paper though. There are two values specified by BS EN 60898 for breaking current ratings of circuit breakers, Icn & Ics.
Icn is the rated short circuit capacity, the maximum current the device can break safely but the device may be damaged in the process. This is the rating marked on the device
Ics is the service short circuit capacity, the maximum current the device can break safely "without loss of performance"
For ratings up to 6kA Ics is supposed to equal Icn, for ratings of 10kA and above Ics is often lower than Icn.
In other words, a 6kA device
should break a 6kA fault and remain serviceable, whereas a 10kA device may only break 10kA once but
should break 7.5kA and remain serviceable.
(Data from IET Guidance Note 3, 17th Ed, Amd. 3 Section 2.6.17 & Table 2.8)