The 46-hour student pilot lost directional control of the single-engine airplane during a crosswind landing on runway 09, a 3,455-foot long, by 40-foot wide asphalt runway. The pilot reported that he landed the airplane on the centerline of the runway within the first quarter of the runway. As the airplane approached the midfield point during the landing roll, the pilot stated that "a crosswind seemed to force the plane into the grass about 1/3 the way down the runway; the grass was very wet and muddy." The pilot then stated that he "proceeded to use full right rudder to fight the plane back on to the hardtop; however, the rudder was not moving the plane back to the hardtop." The pilot added on the Pilot/Operator Accident/Incident Report, NTSB Form 6120.1, that he did not apply the brakes and only used rudder in an attempt to control the airplane. The airplane nosed over and came to rest in the inverted position. The pilot was able to exit the aircraft through the cabin door and was not injured. Weather reported at a weather reporting facility located 9-nautical miles to the northeast of the accident site, reported wind from 130 degrees at 10 knots, clear skies, and 10 miles visibility.