2003 HONDA S2000 Tires Problems

WHILE TRAVELING ON A FREEWAY AT APPROXIMATELY 70 MPH, THE RIGHT REAR TIRE HAD A CATASTROPHIC FAILURE. THE VEHICLE BEGAN VIBRATING SUDDENLY AND VIOLENTLY. I WAS ABLE TO CONTROL THE CAR AND DROVE IT TO THE SHOULDER OF THE FREEWAY. AN INSPECTION SHOWED THE TIRE WAS SLIGHTLY INFLATED. (THE RIM WAS NOT CRUSHED INTO THE RUBBER.) I DETERMINED THAT THE SAFEST THING TO DO WAS TO DRIVE THE CAR ON THE SHOULDER AND TAKE THE FIRST EXIT TO GET AWAY FROM THE HIGH SPEED TRAFFIC WHERE I CHANGED THE TIRE. THE TIRE DEALER CLAIMED THAT THE FAILURE WAS DUE TO RIDING ON AN UNDER INFLATED TIRE. THIS IS NOT SO. BEFORE THIS INCIDENT HAPPENED, I WALKED TO MY CAR FROM THE RIGHT REAR AND I WOULD HAVE NOTICED AN UNDER INFLATED TIRE. ABOUT FIFTEEN MINUTES AFTER LEAVING THAT PARKING PLACE THE TIRE FAILED. MY CAR IS A HONDA S2000 AND...