An endovascular stent-graft (20, 120, 180, 220, 320) includes a fluid flow guide (22), and a plurality of structural stent elements (24) attached to at least a portion of the fluid flow guide (22). The stent-graft is configured to define a generally tubular foldable section (30), which comprises first, second, and third subsections (32, 34, 36). The stent-graft is configured to assume a delivery configuration and a deployment configuration. In the delivery configuration, (a) the stent-graft, including the foldable section (30), is in a radially-compressed state, and (b) the foldable section (30) is in a longitudinally-expanded state, in which state the first and the third subsections (32, 36) longitudinally surround the second subsection (34). In the deployment configuration, (a) the stent-graft, including the foldable section (30), is in a radially-expanded state, and (b) the foldable section (30) is in a longitudinally-folded state, such that the second subsection (34) is radially sandwiched between the first and the third subsections (32, 36). Other embodiments are also described.