The drawing or rolling process endows polycrystal shape memory alloy with a crystallographic
texture, which can result in macroscopic anisotropy. The main purpose of this work is
to develop a constitutive model to predict the thermomechanical behavior of shape memory alloy
sheets, which accounts for the crystallographic texture. The total macroscopic strain is decomposed
into elastic strain and macro-transformation strain under isothermal condition. Considering
the transformation strain in local grains and the orientation distribution function of crystallographic
texture, the macro-transformation strain and the effective elastic modulus of textured
polycrystal shape memory alloy are developed by using tensor expressions. The kinetic equation
is established to calculate the volume fraction of the martensite transformation under given stress.
Furthermore, the Hill’s quadratic model is developed for anisotropic transformation hardening of
textured SMA sheets. All the calculation results are in good agreement with experimental data,
which show that the present model can accurately describe the macro-anisotropic behaviors of
textured shape memory alloy sheets.