Widespread use in the machining procedures in producing industrial pieces, optimization of this procedure is one of most subjects that attract researchers interest. Finite element analysis based techniques are available to simulate cutting processes. Success and reliability of numerical models are heavily dependent upon work material flow stress models in function of strain, strain rate and temperatures. One of the most accurate and most useful equations are presented, the fundamental equation Johnson-Cook is. The basic equations for modeling the behavior of each material, is needed to determine the equation coefficients.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. After getting result from the equation, its accuracy being checked either in compression tests or in machining tests by simulation with Abaqus software and its results are compared with the results of machining tests. Studies show the correctness of the equation in determining the dynamic behavior of 5083 alloy is established. Therefore, this equation can be used for modeling the behavior of the selected alloy in other shaping processes, and can be used its results.