During the take-off roll from a grass/turf runway, the homebuilt bi-wing airplane made a sharp right turn. The pilot applied rudder and ailerons controls; however, the airplane drifted to the right side of the runway and one of the right wing tips impacted a mesquite tree. Moments later, the right wing tips impacted the ground and the airplane nosed over and came to rest in the inverted position. Examination of the airplane's right landing gear leg revealed that it had buckled, near the wheel, in an area that appeared corroded. The runway's surface was reportedly "rough.”