A method to strengthen or repair concrete and other structures comprises securing a plate having a shape memory alloy (SMA) wire embedded therein to a localized region of a structure. The SMA wire has a deformed shape configured for self-anchorage within the plate. The SMA wire is heated at or above an austenite transformation temperature, and the SMA wire resists shape recovery and remains self-anchored within the plate. Accordingly, a compressive force is generated within the SMA wire and transferred to the plate. At an interface between the plate and the localized region of the structure, the compressive force is transmitted from the plate to the structure, thereby providing localized prestressing of the structure.