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The prediction accuracy of the simulation of cutting process is related with the description of the nonlinear behavior of material at extremely high strain, strain rate and temperature in machining. In this paper, an integral Johnson-Cook model is presented to characterize the mechanical behavior of work materials in machining, and the parameters in the model are determined by fitting the data from both quasi-static compression and cutting tests. Then the material equation of 2Cr13 stainless steel is derived with this method and used in the finite element model of orthogonal cutting with carbide tools. At last, the simulation result is verified with experimental data.