Aim To simulate the thermal cyclic effects of metal matrix compeithe. Methods Based on Eshelby′s inclusion theory, a constitutive model for metal matrix composites and an elastic constraint method were formulated to predict the cyclic isothermal and cyclic thermomechanical behaviors of metal matrix composites. Results and Conclusion A SiC reinforced A1 2xxx-T4 composite was studied theoretically with the model. With the constitutive relation of the matrix, the mechanical behaviors of the composite under different loading condition, such as different loading rates, mechanical and thermal mechanical cyclic loading, can be quantitatively predicted. The thermal ratchetting effect of the composite can be predicted by the model.