Here's an interesting account of a C-141 (4 engine military transport plane) that had an "uncontained failure" of the turbine section (not the fan section, as on this SW plane) of the #3 engine on takeoff climb. It was a doozy: the engine was dangling from the pylon, the blades/debris
destroyed the other engine on that wing, the peppered wing fuel tanks were leaking jet fuel, and the debris from the turbine section had gone into the fuselage and started a big fire in the cargo area. Oh, and the plane was very heavy, taking off from an airfield in Australia for a long pacific flight. Not good.
The plane couldn't maintain altitude and the crew looked for a place to "set down" (i.e. crash) and, of course, used max available power on the remaining engines. As they descended into a riverbed, they slowly retracted the flaps from the takeoff setting and discovered the reduced drag allowed them to level off and even climb a little. They were able to return to the airfield and land.
Lots of good airmanship by the cockpit crew and professionalism in the cabin (fighting the fire, clearing the smoke, keeping everyone supplied with oxygen, etc). During the investigation, the board noted that after the engine failures, the pilot in command had "firewalled" the remaining two good engines, requiring that they undergo a very expensive rebuilding. He was reportedly asked
"why he had deliberately brought them to 107% of their rated thrust?", and he reportedly replied "I set them at 107% because they wouldn't do 108%" (unstated--"go to he!!"). It might be an apocryphal story, but is entirely consistent with the view pilots have of these investigatory accident boards.