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Abstract—A finite element procedure for three-dimensional adaptive trusses using shape memory alloys is formulated in the present study, in which the extended form of Brinson’s constitutive equation considering asymmetric tensile and compressive behavior is expressed in a tangentially incremental form. The validity of the present computational modeling is demonstrated by conducting numerical studies for the superelastic, shape memory behaviors of two-bar, nine-bar and twenty eight-bar adaptive trusses subjected to load and temperature changes. The proposed computational procedure is expected to be useful for the optimum design of the adaptive trusses with shape memory alloy bars.