While enroute to the destination, the pilot noted moderate turbulence and decided to land and wait until the turbulence decreased. During the first landing attempt, there was turbulence and the pilot elected to perform a abort the landing after the airplane touched down briefly. After the second landing, during the landing roll, a gust of wind raised the right wing resulting in the airplane veering to the right. The pilot applied power to increase the airflow over the rudder and recenter the airplane, however the airplane was drifting to the left. The airplane departed the left side of the runway and nosed over. During the accident sequence, the airplane sustained substantial damage to the wings and right elevator. The pilot reported no preimpact mechanical malfunctions or failures with the airplane that would have precluded normal operation.