Abstract

A Lagrangian approach is proposed for modeling interdiffusion phenomena in solid metals. In the first section, a formulation of diffusion equations in terms of mass fraction is developed. The specificity of this approach lies in the choice of the convection velocity. In this work, it is defined as being equal to the massic average velocity. An interdiffusion strain rate tensor is also proposed to model the mass movements induced by interdiffusion phenomena. In the second section, a finite element procedure is proposed to simulate the coupled problem which includes diffusion equations and momentum balance. A one-dimensional example is presented to show the relevance of the approach developed for an interdiffusion couple.

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