An implicit iterative algorithm, based on the continuous moving least square (CMLS), is developed to simulate material mixing\r\nin Friction Stir Welding (FSW) process. Strong formulation is chosen for the modeling of the mechanical problem in Lagrangian\r\nframework to avoid the drawback of numerical integration. This algorithm is well adapted to large deformations in the mixing zone\r\nin the neighborhood of the welding tool.We limit ourselves to bidimensional viscoplastic problem to show the performance of the\r\nproposed implicit algorithm. The results show that the proposed algorithm can be employed to simulate FSW.
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