The student pilot reported that during a gusty crosswind landing the airplane touched down and drifted off the runway to the right. He further reported that he added power to abort the landing, but "with the carburetor heat still on, and the flaps at 30 degrees and the temperature of nearly 80 degrees Fahrenheit outside, we did not regain control." The airplane pitched up and the left wing hit the ground. Subsequently, the airplane was "vaulted" over to the right side of the runway and impacted terrain. which resulted in a collapsed right main and nose gear. The airplane sustained substantial damage to the fuselage. The student pilot reported that there were no preimpact mechanical failures or malfunctions with the airframe or engine that would have precluded normal operation. The flight instructor reported that the student pilot flared a little high and he thought the landing would be "just a little hard" and he allowed the student to continue. The flight instructor further reported that during the aborted landing, he attempted to help the student pilot maintain control of the airplane, but "it was too late". The automated weather observing system at the airport about 5 minutes before the accident recorded the wind at 180 degrees true at 12 knots, gusting to 16 knots. The student pilot reported that the landing was on runway 30. The same automated weather observing system about 15 minutes after the accident recorded the wind at 210 degrees true at 12 knots, gusting to 16 knots.