Systems, devices, and methods of the present application can accelerate and reduce medical complications associated with healing of non-planar wounds such as amputation wounds. The devices and methods utilize a collapsing structure and negative pressure to cause the shaped wound to preferentially close. The structure can accommodate movement over curved tissue surfaces, which can utilize scales or interleaved elements to provide efficient wound closure along arcuate paths. This structure can enable gradual closure from the deepest portion of the wound to the shallowest portion.
