A prosthetic device for the treatment of an anatomic organ in a patient is provided. The prosthetic device includes a main body having a height and a circumference and formed from a plurality of circumferentially extending wires and configured for being received in the organ of the patient, wherein the main body defines a portion extending along a length thereof that has a reduced hoop stress relative to the remainder of the main body when in a relaxed state and a covering extending over the main body and forming a billowing recess along the length of the frame in the main body due to the portion having reduced hoop stress. The anatomic organ may be an aorta of a patient.