Analysis of Bending Properties of FG-SMA Beam Under Thermo-Mechanical Coupling

Abstract

The mechanical properties of functional-graded shape memory alloy (FG-SMA) is of highly significance for its applications and structural design. This paper establishes a constitutive model of the FG-SMA beam, considering the influence of the temperature variation and the tension-compression asymmetry coefficient. The fiber element method and the virtual work principle were employed to establish the governing equation of the bending of FG-SMA beam, which is solved using the Newton–Raphson algorithm. Furthermore, the effect of the tension-compression asymmetry coefficient, temperature, gradient index, bending moment, and axial load on the mechanical properties of the FG-SMA beams was analyzed. The results showed that the tension-compression asymmetry coefficient, gradient index, bending moment, and axial load significantly have relatively obvious influence on the cross-sectional mechanical response of the FG-SMA beams, while the effect of the temperature was not noticeable.