According to civil law in the US, the problem you would have is causation and foreseeability. I bet Co would get out on summary judgment if anyone sued them.
The liability according to the report would be against the tire manufacturer/designer, manufacturer/designer of the fuel tank/system and wing protection designs from run way hazards, and the airport for not insuring clear runways if the government is not immune.
Criminal liability in the US is a tougher standard. The issue is is Co grossly negligent for failing to insure that a piece would fall of the DC10. My guess is no.
So is Co liable. My answer (according to US law) is neither under the civil or criminal law.
I seem to recall seeing a documentary on heathrow about the crews charged with driving down the runways and checking for debris. It seems like a common problem. The finger seems to point to the airport and the concord manufacturers/designers. The airline is probably the least liable unless they failed to follow a directive. The pilots did every thing they could to prevent the crash.
Only my opinion, and the law is grey.