A cutting model for SiC_p/Al composite material with SiC particles as JH2 constitutive model was established based on finite element simulation software， and was compared with previous cutting experiments. The research studied the trends associated with various SiC particle constitutive models， as well as the chip， surface morphology， and cutting force. The results show that the chips produced when cutting the SiC particles usin the JH2 model in SiC_p/Al composite material are more fragmented， and the particles at different positions on the material surface are closer to the actual cutting experiment， where there are extrusion， fracture， and protrusion. The overall cutting force fluctuates more gently. It is concluded that the JH2 constitutive model of SiC particles is suitable for cutting simulation of SiC_p/Al composite material.