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In the paper, the influence of friction on temperature distribution in the friction spot stir welding process of titanium grade 2 is analysed. It is assumed that the friction coefficient may be a function of temperature or the relative speed of the contact areas. The finite element method is used in the numerical calculations. Temperature distributions and temperature versus time for the analysed friction coefficients are presented. The results also show that applying a proper frictional model is very essential for the sake of heat generation during friction stir welding.