Titanium alloy plate formed in rolling has anisotropic properties. The effect of anisotropy on cutting force should be considered in determination of the cutting parameters. A force model of anisotropic materials is presented to predict the cutting forces in milling. In the force model, three-dimensional chip flow is made by piling up the orthogonal cuttings in the planes containing the cutting velocities and the chip flow velocities, where the chip flow direction is determined to minimize the cutting energy. In the anisotropic material model, the shear stress on the shear plane is defined as a function of the orientation angle of the cutting edge in milling. Therefore, the cutting force depends on the feed direction of the end mill. The force model for milling of Ti-6Al-4V is verified in comparison between the simulated and the measurement.

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