According to the pilot, he performed a preflight and no anomalies were noted with the airplane. The pilot flew the airplane to another airport, performed a touch-and-go landing maneuver, and returned to the original departure airport. During the landing roll, the pilot applied the brakes, the airplane veered to the left, and departed the left side of the runway. The airplane continued through the grass, struck the taxiway pavement, and the nose wheel separated from the airplane. The airplane traveled across the taxiway and when it impacted the grass on the other side of the taxiway, the airplane nosed over, and came to rest inverted, which resulted in substantial damage to the rudder. A postaccident examination of the airplane revealed no preimpact mechanical malfunctions or failures with the airplane that would have precluded normal operation. The pilot reported no preimpact mechanical malfunctions and that "better control of braking" may have prevented the accident.