To predict the cutting force in machining of SiCp/Al composites by ultrasonic elliptical vibration-assisted turning (UEVT) technology, a semi-empirical geometric model considering the deformation and friction characteristics in different deformation areas is established in this paper. During UEVT, the resistance force acting on cutting edge is divided into three parts according to different deformation zones: shear force, interface friction, and plowing force. The vibration characteristic functions are also coupled to the semi-empirical geometric model of cutting force. A three factor and four level orthogonal tests is implemented to verify the validity of geometric model, and the single factor cutting experiments are also conducted to evaluate the influence law of relevant parameter on cutting force. Experimental results show that the deviation between the calculated value of cutting force and measured average value is less than 17%, and the average deviation is 8.16%, which proved that the semi-empirical geometric model can effectively predict the cutting force of SiCp/Al composites during UEVT. In addition, the influence of cutting parameters and volume fraction on cutting force is discussed, which provides a theoretical guidance for the outstanding machinability of SiCp/Al composites in UEVT.
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