TY - JOUR N2 - High rotational motion from the welding tool generates a significant amount of the heat during friction stir welding (FSW). Basically, during FSW the heat is mostly coming from the frictional force between the tool shoulder and the plates. Therefore, a precise calculation of the friction coefficient can increase the accuracy of the finite element analysis (FEA) of the process. However, researchers have applied constant values, and that causes a gap between the reality and the simulated model especially after the welding plunging step. In this study, a mathematical formulation is proposed in order to calculate the temperature dependent values of the friction coefficient and also to explore the influence of the temperature in the friction coefficient. To solve the governing equations of the process, the MATLAB® software is used. The results indicate that, from 25°C to the AA 6061-T6 melting point (580°C), the values of the friction coefficient fall steadily in a range of 0.207089 to 0.000582. Furthermore, the material shear stress and the material yield stress decrease consistently as the temperature rises. Consequently, the influence of the temperature in the contact input parameters and the material properties are discussed in detail and a good correlation with the published results is achieved. © 2017 Trans Tech Publications, Switzerland. KW - Finite element method; Friction stir welding; MATLAB; Research laboratories; Shear stress; Tribology; Yield stress KW - Friction coefficients; Friction force; Friction stir welding(FSW); Good correlations; Governing equations; Mathematical formulation; Rotational motion; Temperature dependent KW - Friction ID - scholars9125 Y1 - 2017/// UR - https://www.scopus.com/inward/record.uri?eid=2-s2.0-85036641594&doi=10.4028%2fwww.scientific.net%2fDDF.379.73&partnerID=40&md5=312082d000563d06a174039621746e1b A1 - Meyghani, B. A1 - Awang, M. A1 - Emamian, S. JF - Defect and Diffusion Forum VL - 379 AV - none N1 - cited By 19 SP - 73 TI - A mathematical formulation for calculating temperature dependent friction coefficient values: Application in friction stir welding (FSW) SN - 10120386 PB - Trans Tech Publications Ltd EP - 82 ER -