Modern production processes are characterized by a high amount of operational capacity as well as by a high degree of product quality. The machining of metal is a very important production process, because machining enables making complicated geometry in a quite easy way. Not only the macroscopical correlation with the detail drawing but also the microscopic properties have to pass strict predefined criterias today. Particularly the surface condition of an oscillatory loaded component is very important, because most failure have its seeds there. Among surface hardness and microstructure the surface roughness and the residual stresses have the largest influence in the durability of a component. Thus it would be very interesting if there is a possibility to have an effect on the surface of a part just by machining in this way that the durability is developed to the maximum without any additional processes. This diploma thesis tries to find a finite element model of machining to estimate the residual stresses in the finished part having the regard to different cutting parameters.The used models were able to reproduce the residual stress sequence plots from the experiment qualitatively. Furthermore it was possible to propose hypotheses for the mechanisms which are responsible for the residual stresses. The dependences of these mechanisms and the way how they can be influenced was analysed too. Finally the design of the tool as well as the remaining cutting parameters were proposed in a way that there can be expected good results concerning residual stresses.