The pilot stated that he entered the traffic pattern and circled about four times, looking at the windsock and the condition of the 2,400-foot grass runway. After a crosswind landing with full flaps, he applied wheel brakes, but they had no effect on stopping performance. He released the brakes and reapplied them; he again noted no effect. He elected to stay on the runway and the airplane collided with a plastic perimeter fence, located past the end of the runway. The airplane came to a stop in a farm field and he and the three passengers exited the airplane. He reported that the grass runway was wet at the time, with some snow and ice on the runway as well. The airplane sustained structural damage to the left wing. The pilot reported that he experienced no mechanical malfunctions or anomalies with the airplane.