The applicability of Shape Memory Alloys (SMAs) in structural dynamics, par
ticularly as hysteretic damping elements, is limited by the difficulties in
modelling their deformation characteristics. At typical engineering design
levels of loading SMAs exhibit pseudo-elastic properties. The paper descri
bes the estimation of the weight function of the Preisach model for the hys
teretic properties of pseudo-elastic materials. This weight function was id
entified in the stress space at constant temperature. The validation of the
effectiveness of prediction for high order transformation curves was achie
ved by comparison with experimental data. A very good agreement is obtained
which establishes the effectiveness of the Preisach model for the modellin
g of smart materials with hysteresis effects.