Abstract
The purpose of this paper is to present an approximate mathematical model for the study of non-Newtonian flow regimes within friction welds. It is shown that the complex flows of the steady-state stage during friction welding can be described by a numerical solution of the Navier-Stokes equations. The results obtained predict many features observed in the micrographs of experimental samples. Three main findings are discussed in the paper. The first relates to a heuristic method which can be used for the estimations of the parameters of a non-Newtonian viscosity model required for the analysis. The second concerns the retention of particles, and of the flow itself, within the weld zone. The third suggests a theoretical framework which may permit the evaluation of joint strength from first principles.
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