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Gradient Crystal Plasticity: A Grain Boundary Model for Slip Transmission

机译：梯度晶体可塑性：滑动传递的晶界模型

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摘要

Interaction between dislocations and grain boundaries (GBs) in the forms of dislocation absorption, emission, and slip transmission at GBs significantly affects size-dependent plasticity in fine-grained polycrystals. Thus, it is vital to consider those GB mechanisms in continuum plasticity theories. In the present paper, a new GB model is proposed by considering slip transmission at GBs within the framework of gradient polycrystal plasticity. The GB model consists of the GB kinematic relations and governing equations for slip transmission, by which the influence of geometric factors including the misorientation between the incoming and outgoing slip systems and GB orientation, GB defects, and stress state at GBs are captured. The model is numerically implemented to study a benchmark problem of a bicrystal thin film under plane constrained shear. It is found that GB parameters, grain size, grain misorientation, and GB orientation significantly affect slip transmission and plastic behaviors in fine-grained polycrystals. Model prediction qualitatively agrees with experimental observations and results of discrete dislocation dynamics simulations.
机译：位错与晶界（GBs）之间的相互作用以GBs处的位错吸收，发射和滑移传输的形式显着影响了细晶粒多晶中尺寸相关的可塑性。因此，在连续性可塑性理论中考虑这些GB机制至关重要。本文提出了一种新的GB模型，该模型考虑了梯度多晶可塑性范围内GBs处的滑动传递。 GB模型由GB运动学关系和滑移传递的控制方程组成，通过滑移传递，可以捕获几何因素的影响，包括进出滑移系统之间的错位和GB方向，GB缺陷以及GBs处的应力状态。对模型进行数值模拟，以研究平面约束剪切作用下双晶薄膜的基准问题。发现GB参数，晶粒尺寸，晶粒取向差和GB取向显着影响细粒多晶中的滑动传递和塑性行为。模型预测在质量上与实验观察和离散位错动力学模拟的结果一致。

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