A stent graft device that includes a frame, a cover material covering the frame, and an anchoring member having an adjustable geometry is provided. The anchoring member may be incorporated as part of the frame or coupled thereto. The anchoring member may be formed of a material having a tensile strength such that it can be bent, straightened, or otherwise changed in shape. Tissue growth over and/or around the anchoring member anchors the stent graft device within a lumen. During removal of the stent graft device, the geometry of the anchoring member changes to allow the anchoring member to be removed from the tissue growth along a removal path with minimal trauma. The design and/or shape of the anchoring member is not particularly limited so long as the anchoring member has an adjustable geometry that permits tissue overgrowth and subsequent removal from the tissue overgrowth with minimal trauma.