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三模晶体相场法研究应变诱导石墨烯晶界位错演化

高丰 李欢庆 宋卓 赵宇宏

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三模晶体相场法研究应变诱导石墨烯晶界位错演化

高丰, 李欢庆, 宋卓, 赵宇宏

The Evolution of Grain Boundary Dislocations in Graphene Induced by Strain: Three-Mode Phase-Field Crystal Method

Gao Feng, Li Huan-Qing, Song Zhuo, Zhao Yu-Hong
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  • 晶界结构在石墨烯变形过程中的演变规律及作用机制对理解石墨烯变形行为具有重要意义。本文采用三模晶体相场模型,在原子尺度上深入研究了石墨烯小角对称倾侧晶界处位错在应变作用下的演化机理。研究发现:随着晶界角的增大,晶界位错密度降低,特定类型的位错(5|8|7位错和5|7位错)数量上升。在与晶界平行的应力加载下,晶界处位错因C-C键断裂或旋转,转化为5|7或5|9型位错,这是由于较大自由能的位错在拉伸下演化为小能量的位错,这有利于石墨烯性能的提高。拉伸载荷下,含不同角度晶界的体系自由能变化呈现相同趋势:初始下降至拐点后出现异常上升,位错行为不能有效缓解体系因持续加载造成的应力集中,导致失效。这项工作有助于从原子尺度理解石墨烯微观力学行为。
    The evolution and role mechanisms of grain boundary structures during the deformation process of graphene are of great significance for understanding the deformation behavior of graphene and optimizing its mechanical properties. This article takes single-layer graphene as the research object and establishes a double crystal graphene model using the three-mode phase-field crystal method, deeply exploring the evolution mechanisms of dislocations at small-angle symmetrical tilt grain boundaries in graphene under strain. In view of the relaxation and deformation process, the relationship between the number of multiple dislocations and the grain boundary angle of graphene was studied at atomic scale, and the deformation and failure mechanism of double crystal graphene under tensile load was revealed, and it is also discussed from the aspect of the free energy.
    It is found that, after relaxation, with the increase of grain boundary angle, the density of dislocations at the grain boundary decreases, and the number of specific types of dislocations (5|8|7 and 5|7 dislocations) increases. Under stress loading parallel to the grain boundary, the changes of free energy of the systems containing grain boundaries with different angles show the same trend: At first, they descend to the inflection point and then rise abnormally, and the dislocation behavior can not effectively alleviate the stress concentration caused by continuous loading in the system, leading to failure.
    Under tensile load, the free energy’s change of the systems is divided into four stages, of which the stage (I): the dislocations at grain boundaries are slightly deformed but does not change its structure. The stage (Ⅱ): dislocations at the grain boundaries are transformed into 5|7 or 5|9 dislocation due to C-C bond fracture or rotation. Dislocations that are "incompatible" have higher energy, making them more conducive to improving the tensile properties of graphene. The stage (Ⅲ): the 5|7 and 5|9 dislocations, begin to fail, and the free energy shows a tendency to decrease significantly. The stage (Ⅳ): the double crystal graphene systems have completely failed. The system with a grain boundary angle of 10° exhibits the most substantial free energy decrease in Stages (Ⅰ), (Ⅱ), and (Ⅲ), and possesses the highest overall tensile strength.
    This work contributes to understanding the micromechanical behavior of graphene at the atomic scale.
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