An inclusion theory for the propagation of martensite band in NiTi shape memory alloy wires under tension

摘要: Abstract In this paper, we present analytical modelling for the pure mechanical response of uniaxial tensioned NiTi wire that experiences stress-induced martensitic transformation via a propagating martensite band at superelastic temperature regime. The model aims to predict overall behavior SMA as structural containing instabilities. Based on systematic experimental investigation Shaw and Kyriakides (Shaw, J.A., Kyriakides, S., 1995. Thermomechemical aspects NiTi. J. Mech. Phys. Solids 43, T243–1281 Shaw, 1997. On nucleation propogation phase fronts in alloy. Acta Mater. 45(2), 638–700), is modeled an elastic rod single cylindrical inclusion with uniform axisymmetric eigenstrain. expression free energy special matrix-inclusion system formulated length identified key variable describing process system. Theoretical predictions peak stress subsequent steady-state propagation during forward reverse transformations are provided compared available data. Specimen size effect nominal stress-strain curves general deformation features discussed.