论文标题

空位管扩散的棱柱形位错循环自我攀登的相位场模型

Phase field model for self-climb of prismatic dislocation loops by vacancy pipe diffusion

论文作者

Niu, Xiaohua, Xiang, Yang, Yan, Xiaodong

论文摘要

在本文中,我们提出了一个相位场模型,用于通过弹性相互作用驱动的空位管扩散的棱柱位错环的自我攀登运动。这种保守的动力学模型是在Cahn-Hilliard方程的框架下开发的,并结合了爬升力的攀爬力,并基于参考文献[1]中建立的位错自我攀爬速度公式。相位场模型的优点是能够在模拟过程中自动处理拓扑和几何变化。渐近分析表明,所提出的相位场模型在尖锐的界面极限下准确地给出了脱位自我攀登速度。自我攀登的棱柱循环的进化,翻译,合并和排斥的数值模拟与离散脱位动力学仿真结果和实验观察表现出了极好的一致性。

In this paper, we present a phase field model for the self-climb motion of prismatic dislocation loops via vacancy pipe diffusion driven by elastic interactions. This conserved dynamics model is developed under the framework of the Cahn-Hilliard equation with incorporation of the climb force on dislocations, and is based on the dislocation self-climb velocity formulation established in Ref.[1]. The phase field model has the advantage of being able to handle the topological and geometrical changes automatically during the simulations. Asymptotic analysis shows that the proposed phase field model gives the dislocation self-climb velocity accurately in the sharp interface limit. Numerical simulations of evolution, translation, coalescence and repelling of prismatic loops by self-climb show excellent agreement with discrete dislocation dynamics simulation results and the experimental observation.

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