After takeoff, the private pilot received instruction from a certified flight instructor to proceed to a nearby training area to practice flight maneuvers. Upon returning to the airport environment, the pilot entered the traffic pattern and conducted a simulated electrical failure and a no-flap landing. On final approach and over the runway, the "nose of the airplane pitched up" and the airplane began a rapid descent. The pilot was unable to arrest the descent with the application of full power and the airplane landed hard. An examination of the airplane revealed that the main landing gear was bent, the wings were wrinkled, and the right wing was bent upward at the flap attachment point. The pilot reported no mechanical anomalies with the airplane prior to the accident. An examination of the airplane's systems revealed no preaccident mechanical anomalies.