The pilot reported that the accident occurred during a wheel landing in the tailwheel-equipped airplane on a hard surface runway. The pilot stated that upon touchdown the airplane began to swerve side-to-side due to the airplane's "natural instability" on the ground. The pilot attempted to maintain directional control by pulling full aft on the control stick and applying maximum braking; however, his excessive brake input while the airplane was in a level pitch attitude caused the airplane to pitch down and the propeller to impact the runway before the airplane pivoted back onto the tailwheel. The airplane came to rest upright on the runway. The tailwheel crushed the lower portion of the rudder when it landed hard on the runway. The pilot reported that there were no mechanical anomalies with the airplane that would have precluded normal operation. A postaccident examination confirmed flight control continuity and found no issues with the wheel brakes or the tailwheel.