A constitutive model for shape memory alloys accounting for thermomechanical coupling

摘要: This paper presents a generalized Zaki–Moumni (ZM) model for shape memory alloys (SMAs) [cf. Zaki, W., Moumni, Z., 2007a. A three-dimensional of the thermomechanical behavior alloys. J. Mech. Phys. Solids 55, 2455–2490 accounting coupling. To this end, expression Helmholtz free energy is modified in order to derive heat equation accordance with principles thermodynamics. An algorithm proposed implement coupled ZM into finite element code, which then used solve boundary value problem involving superelastic SMA structure. The validated against experimental data available literature. Strain rate dependence mechanical pseudoelastic response taken account good qualitative as well quantitative accuracy case moderate strain rates and results high rates. However, only agreement achieved thermal at It shown that discrepancy mainly due localization effects are note our model. Analyzing influence sources on material shows hysteresis intrinsic dissipation, whereas governed by latent heat. In addition, variation area loop respect discussed. found not monotonic reaches maximum certain rate.