As respects of usage of widespread machining procedures in producing industrial pieces, optimization of this procedure is one of most subject that attract researchers intrest. Finite element analysis based techniques are available to simulate cutting processes and offer several advantages including prediction of tool forces, distribution of stresses and temperatures, estimation of tool wear and residual stresses on machined surfaces, optimization of cutting tool geometry and cutting conditions. Success and reliability of numerical models are heavily dependent upon work material flow stress models in function of strain, strain rate and temperatures. In this paper Johnson-Cook material law, owing to its simplicity, has been used for simulating of Aluminum Alloy AA5083. The model parameters are determined by fitting the data from both quasi-static compression tests at law strain rates and machining tests at high strain rates. For calculating deforming parameters in machining being used analytical theory of Oxley. After getting result from the equation, its accuracy being checked either in compression tests or in machining tests by simulation with abaqus software.