Methods for delivering a medical device loaded onto a catheter include positioning a first tube relative to a second concentric tube such that sheathing material having a first end affixed to the first tube and a second end affixed to the second tube forms an inner layer and an outer layer having at least one inversion point, such that no portion of the first tube is between any portion of the inner and outer layers of the sheathing material. Upon positioning the catheter at a desired target site the first tube can be moved relative to the second tube so that the inversion point moves to expose the medical device, thereby permitting expansion of the medical device at the target site.