The Aviation Herald reported a missing bolt and end cap from the nose gear.
It also reported that the crew suspected a blown tyre on take-off.
It also reported a hole in the wing root fairing,
Aviation Herald made no linkage to any event causing the other.
However, one could link the events logically and speculate that the bolt and/or end cap fell off during the takeoff roll and damaged one of the centre gear tyres which exploded after gear retraction.
As far as A380 Emergency Procedures go, possibly the only indication that the crew had was an ECAM telling them that the tyre pressure was low and WHEEL page showing the actual low pressure or XX if the sensor was damaged.
A380 FCOM says that abnormal action for WHEEL TIRE PRESSURE LO > Crew Awareness
