LOCKED BRAKE ON PA44 DURING LNDG ROLL RESULTS IN BLOWN TIRE; EVACUATION AND BRIEF BRAKE/TIRE FIRE EXTINGUISHED BY THE FLT CREW.

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ON LNDG AT ZZZ I FELT A SHUDDER AND HEARD A SLIGHT POP FROM THE R ENG OF OUR SEMINOLE. I CHKED THE ENG INSTS AS MY STUDENT BROUGHT THE ACFT TO A STOP. THE SHUDDERING HAD STOPPED AND THERE WERE NO INDICATIONS OF ANYTHING BEING AMISS; SO I TOLD MY STUDENT TO BEGIN THE TKOF ROLL. DURING TKOF ROLL; I NOTICED AN ABNORMALLY SLOW ACCELERATION AS WELL AS AN ABNORMAL AMOUNT OF L RUDDER BEING APPLIED TO MAINTAIN CTRLINE. I CHKED THE ENG GAUGES AGAIN AND SAW NOTHING AMISS. HOWEVER; BASED ON THE LACK OF ACCELERATION AND THE TENDENCY TO TURN TO THE R; I ELECTED TO ABORT THE TKOF. I INSTRUCTED MY STUDENT TO ABORT AND CLOSED THE THROTTLES MYSELF. MY STUDENT APPLIED FULL BRAKING. AS HE DID SO; I SAID; 'OFF THE BRAKES; OFF THE BRAKES!' TO WHICH HE SAID; 'I AM!' I VISUALLY CHKED AND NOTICED HIS FEET WERE NOT ON THE BRAKE PEDALS; ONLY ON THE RUDDERS. THE L MAIN BRAKE WAS STILL FULLY ENGAGED AND THE TIRE WAS SKIDDING. I TOLD MY STUDENT 'I HAVE THE FLT CTLS' AND MAINTAINED DIRECTIONAL CTL USING THE NOSEWHEEL STEERING AS WELL AS THE R MAIN BRAKE; THOUGH THE L WAS STILL LOCKED. AT APPROX 35 KTS (ESTIMATED); THE L MAIN TIRE BLEW. I MAINTAINED DIRECTIONAL CTL AND BROUGHT THE ACFT TO A STOP; IMMEDIATELY SHUTTING DOWN BOTH ENGS. WE CALLED TWR AND INFORMED THEM OF THE SITUATION. WE EXITED THE ACFT TO INSPECT FOR DAMAGE AND I NOTICED SMOKE FROM THE L MAIN; AT WHICH POINT I ASKED FOR THE FIRE EXTINGUISHER. I INSPECTED THE L MAIN AND NOTICED IT WAS ON FIRE; AT WHICH POINT I DISCHARGED THE FIRE EXTINGUISHER ONTO THE L MAIN TIRE; EXTINGUISHING THE FLAMES. DISCREPANCIES HAVE BEEN FILED FOR THE ENG PROB; THE BRAKE PROB; THE TIRE BLOW; AND THE FIRE EXTINGUISHER BEING DISCHARGED.