The behaviors of Cu-based shape memory alloy polycrystals in tension/compression pseudoelastic loads were simulated with the help of micromechanics model of SMA. The model uses calculation of the single crystal sigma-T diagrams for oriented grains and symbolic homogenization procedure to predict uniaxial stress-strain-temperature responses of SMA polycrystals in thermomechanical loads. Simulation results for two alloys of similar chemical compositions have been demonstrated for the case of pseudoelasticity in tension/compression. It is shown that by adjusting the composition in Cu-based SMA's, not only the M-s temperature and thus the pseudoelasticity range of the alloy is shifted in the temperature scale, but also the tension/compression stress-strain response of the alloy might be significantly modified.