Using a continuous representation of dislocations in elastoplastic polycrystals, we investigate slip transfer at grain boundaries by assessing the compatibility of the slip system shear rates with tangential continuity of the plastic distortion rate tensor at these interfaces. Fulfillment of this tangential continuity condition is needed for consistency of the continuous description of dislocations in polycrystals. We show that, in f.c.c. materials at moderate temperatures, this condition unequivocally translates into constraints on the slip rates on both sides of grain boundaries. Appended to the elastoplastic boundary value problem, it allows a complete determination of the slip system shear rates. An algorithm enabling the implementation of compatible slip transfer in both the finite element methods and the spectral methods based on Fast Fourier Transforms is provided in both standard crystal plasticity and the mechanics of dislocations fields.

中文翻译：

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晶界滑移的连续模型

使用弹塑性多晶中位错的连续表示，我们通过评估滑移系统剪切速率与这些界面处塑性变形率张量的切向连续性的相容性，研究了晶界处的滑移。为了连续描述多晶中的位错，需要切向连续性条件的实现。我们表明，在中等温度的fcc材料中，这种情况明确地转化为对晶界两侧滑移率的约束。除了用于弹塑性边值问题外，它还可以完整确定滑移系统的剪切速率。