An explicit dynamic model of oblique cutting is presented. The explicit solid elements with one-point integration Lagrange algorithm were adopted, and elastic viscoplastic with thermal effect material model was used in simulation. The automatic surface to surface tiebreak contact type was employed to simulate the chip separation from workpiece. The model solves the mesh distortion caused by large deformation, so the simulation results can reveal the shearing slip phenomenon of chip material from the deformation of elements. The shape of deformed chip and the temperature distribution in chip and tool are obtained. The calculated specific cutting power are compared with published experimental data and found to be in good agreement.