The commercial certificated pilot was departing from an off-airport site in a tailwheel-equipped airplane in a left crosswind during a Title 14, CFR Part 91 personal flight. The pilot reported that during the northwesterly takeoff roll, the airplane's left wing lifted and the right wing struck the ground, which pivoted the airplane to the right. The airplane sustained structural damage to the right wing and empennage. The pilot noted that there were no preaccident mechanical anomalies with the airplane.