An endovascular self-curving stent-graft (20) includes a self-curving longitudinal portion (22), which is curved so as to define an innermost curve (26) and an outermost curve (28), when the stent-graft (20) is unconstrained in a radially-expanded state. The stent-graft (20) includes a plurality of circumferential strut members (30)； a compression-generation spring (40), which (a) is in an elongated configuration when the stent-graft (20) is in a radially-compressed state, and (b) overlaps respective first portions (44) of at least two of the circumferential strut members (30)； and an anti-buckling spring (50), which overlaps respective second portions (54) of at least two of the circumferential strut members (30). The anti-buckling spring (50) and the compression-generation spring (40) are together configured to curve the self-curving longitudinal portion (22) when the stent-graft (20) is unconstrained in the radially-expanded state, such that a lesser length of the self-curving longitudinal portion (22), measured along the innermost curve (26), is less than 80% of a greater length of the self-curving longitudinal portion (22), measured along the outermost curve (28).
