搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

基于晶体相场模型的石墨烯位错动力学行为研究

王慧 甄乐怡 武白羽 周文权

引用本文:
Citation:

基于晶体相场模型的石墨烯位错动力学行为研究

王慧, 甄乐怡, 武白羽, 周文权

Phase-Field-Crystal Modeling of the Dynamical Behavior of Dislocations in Graphene

WANG Hui, ZHEN Leyi, WU Baiyu, ZHOU Wenquan
Article Text (iFLYTEK Translation)
PDF
导出引用
  • 石墨烯晶界结构的演化规律及其位错运动机制的研究对理解石墨烯的塑性变形行为具有重要意义,目前对于在非机械作用下石墨烯晶界的动力学行为已得到广泛研究,但由于已有实验条件和模拟方法在时间和空间尺度方面的限制,关于机械拉伸载荷作用下石墨烯位错动态演化过程及塑性变形问题仍知之甚少。本文基于晶体相场模型,研究了在单轴拉伸载荷作用下石墨烯晶界环的动力学演化过程。模拟研究结果表明,当外加应变低于临界值时,石墨烯体系处于弹性响应阶段,5|7位错核心区域的应变振幅随着外加载荷的增大而减小;而当应变达到临界值时,体系发生弹—塑性转变,晶界环处5|7位错通过C—C键旋转,转变为5|7|7|5位错,此时位错核心区域的应变振幅增大,标志着体系塑性变形的启动;当应变超过临界值后,体系进入塑性变形阶段,晶界环呈现出三种特征性演化行为: 5|7位错与5|7|7|5位错之间发生缺陷结构交替转变;位错经历“钉扎⇌攀移/滑移混合运动”的反复演化过程;位错保持“钉扎”状态直至位错处裂纹形核并发生韧性断裂。本工作为深入理解石墨烯塑性变形行为提供了重要理论基础。
    The study of the evolution of grain boundary (GB) structures and the mechanisms of dislocation motion in graphene is crucial for uncovering the physical essence of its plastic deformation behavior. Currently, the dynamic behavior of graphene GBs under non-mechanical loads has been extensively explored; however, due to the inherent limitations of existing experimental conditions and simulation methods in terms of temporal and spatial scales, the dynamic evolution process of dislocations in graphene under mechanical tensile loads and their intrinsic correlation with plastic deformation remain poorly understood. In this work, a phase-field crystal (PFC) model based on classical density functional theory (DFT) was employed. By incorporating periodic density field variables, the model achieves cross-scale coupling between microscopic crystal structures and macroscopic diffusion time scales, enabling efficient simulation of long-term evolution processes. It is particularly well-suited for characterizing microscopic mechanisms involving complex defect evolution in graphene, such as dislocation glide and climb, as well as GB migration.
    In this work, the complete deformation process—encompassing elastic response, elastic– plastic transition, plastic deformation, and fracture—of a graphene bicrystal system containing a GB loop under uniaxial tensile loading was simulated at the atomic scale. The transformation characteristics of 5|7 dislocation core structures and the topological evolution of the GB loop within the system were systematically investigated. Simulation results reveal that when the applied strain is below a critical value, the system exhibits the elastic response, characterized by a linear relationship between the average response strain and the applied strain. As the strain reaches the critical value, the 5|7 dislocations at the GB loop undergo transformation into 5|7|7|5 dislocations through C–C bond rotation. This transition is accompanied by a significant increase in the strain amplitude at the dislocation cores, marking the onset of plastic deformation. Beyond the critical strain, the system thus enters the plastic deformation stage, during which the GB loop exhibits three distinct types of evolutionary behavior: (1) alternating transformations between 5|7 and 5|7|7|5 dislocation structures driven by repeated C–C bond rotation; (2) a cyclic evolution of dislocations involving "pinning ⇌ mixed climb/glide motion", accompanied by energy fluctuations described as "energy storage– dissipation– restorage"; (3) dislocations remaining in a "pinned" state until stress concentration in their core regions initiates transgranular cracking, ultimately leading to ductile fracture of the system.
    This study provides important theoretical insights into the physical mechanisms underlying the plastic deformation behavior of graphene.
  • [1]

    Tiwari S K, Sahoo S, Wang N, Huczko A 2020 J. Sci.: Adv. Mater. Devices 5 10

    [2]

    Slepchenkov M M, Glukhova O E 2019 Coatings 9 74

    [3]

    Lherbier A, Dubois S M M, Declerck X, Niquet Y M, Roche S, Charlier J C 2012 Phys. Rev. B 86 75402

    [4]

    Mortazavi B, Ahzi S 2013 Carbon 63 460

    [5]

    Geim A K 2009 Science 324 1530

    [6]

    Hansora D P, Shimpi N G, Mishra S 2015 JOM 67 2855

    [7]

    Dervishi E, Ji Z, Htoon H, Sykora M, Doorn S K 2019 Nanoscale 11 16571

    [8]

    Wong C H, Vijayaraghavan V 2012 Materials Science and Engineering: A 556 420

    [9]

    He L, Guo S, Lei J, Sha Z, Liu Z 2014 Carbon 75 124

    [10]

    Fu Y, Ragab T, Basaran C 2016 Comput. Mater. Sci. 124 142

    [11]

    Zhang X, Zhang J, Yang M 2020 RSC Adv. 10 19254

    [12]

    Gamboa-Suárez A, Seuret-Hernández H Y, Leyssale J M 2022 Carbon Trends 9 100197

    [13]

    Zandiatashbar A, Lee G H, An S J, Lee S, Mathew N, Terrones M, Hayashi T, Picu C R, Hone J, Koratkar N 2014 Nat. Commun. 5 3186

    [14]

    Cottrell A H, Bilby B A 1949 Proc. Phys. Soc. London, Sect. A 62 49

    [15]

    Nabarro F R N 1952 Adv. Phys. 1 269

    [16]

    Lehtinen O, Kurasch S, Krasheninnikov A V, Kaiser U 2013 Nat Commun 4 2098

    [17]

    Warner J H, Margine E R, Mukai M, Robertson A W, Giustino F, Kirkland A I 2012 Science 337 209

    [18]

    Gong C, Robertson A W, He K, Lee G D, Yoon E, Allen C S, Kirkland A I, Warner J H 2015 ACS Nano 9 10066

    [19]

    Gong C, He K, Chen Q, Robertson A W, Warner J H 2016 ACS Nano 10 9165

    [20]

    Yang Z, Huang Y, Ma F, Sun Y, Xu K, Chu P K 2015 Eur. Phys. J. B 88 135

    [21]

    Grantab R, Shenoy V B, Ruoff R S 2010 Science 330 946

    [22]

    Zhou W, Wang J, Lin B, Wang Z, Li J, Huang Z F 2019 Carbon 153 242[23] Gao F, Li H Q, Song Z, Zhao Y H 2024 Acta. Phys. Sin. 73 248101 (in Chinese)

    [23]

    [高丰, 李欢庆, 宋卓, 赵宇宏 2024 物理学报 73 248101]

    [24]

    Yang L, Liu J, Lin Y, Xu K, Cao X, Zhang Z, Wu J 2021 Chem. Mater. 33 8758

    [25]

    Wu J, Gong H, Zhang Z, He J, Ariza P, Ortiz M, Zhang Z 2019 Appl. Mater. Today 15 34

    [26]

    Liu J, Šesták P, Zhang Z, Wu J 2022 Mater. Today Nano 20 100245

    [27]

    Yamanaka A, McReynolds K, Voorhees P W 2017 Acta Mater. 133 160

    [28]

    Li J, Ni B, Zhang T, Gao H 2018 Journal of the Mechanics and Physics of Solids 120 36

    [29]

    Qi Y, Krajewski P 2007 Acta Mater. 55 1555

    [30]

    Elder K R, Grant M 2004 Phys. Rev. E 70 51605

    [31]

    Elder K R, Katakowski M, Haataja M, Grant M 2002 Phys. Rev. Lett. 88 245701

    [32]

    Swift J, Hohenberg P C 1977 Phys. Rev. A 15 319

    [33]

    Huang Z F, Elder K R, Provatas N 2010 Phys. Rev. E 82 21605

    [34]

    Elder K R, Provatas N, Berry J, Stefanovic P, Grant M 2007 Phys. Rev. B 75 64107

    [35]

    Los J H, Zakharchenko K V, Katsnelson M I, Fasolino A 2015 Phys. Rev. B 91 45415

    [36]

    Singh S K, Neek-Amal M, Peeters F M 2013 Phys. Rev. B 87 134103

    [37]

    Stefanovic P, Haataja M, Provatas N 2006 Phys. Rev. Lett. 96 225504

    [38]

    Tegze G, Bansel G, Tóth G I, Pusztai T, Fan Z, Gránásy L 2009 J. Comput. Phys. 228 1612

    [39]

    Stefanovic P, Haataja M, Provatas N 2009 Phys. Rev. E 80 46107

    [40]

    Heinonen V, Achim C V, Ala-Nissila T 2016 Phys. Rev. E 93 53003

    [41]

    Zhou W Q 2019 Ph. D. Dissertation (Xi'an: Northwestern Polytechnical

    [42]

    University) (in Chinese) [周文权 2019 博士学位论文学位论文 (西安: 西北工业大学)]

    [43]

    Zhou W, Wang J, Wang Z, Huang Z F 2019 Phys. Rev. E 99 13302

    [44]

    Taha D, Mkhonta S K, Elder K R, Huang Z F 2017 Phys. Rev. Lett. 118 255501

    [45]

    Wei Y, Wu J, Yin H, Shi X, Yang R, Dresselhaus M 2012 Nat. Mater. 11 759

    [46]

    Wu J, Wei Y 2013 J. Mech. Phys. Solids 61 1421[46] Liu T H, Pao C W, Chang C C 2012 Carbon 50 3465

    [47]

    Li L, Reich S, Robertson J 2005 Phys. Rev. B 72 184109

    [48]

    Kim Y, Ihm J, Yoon E, Lee G D 2011 Phys. Rev. B 84 75445

    [49]

    Blaschke D N, Szajewski B A 2018 Philos. Mag. 98 2397

    [50]

    Bonilla L L, Carpio A, Gong C, Warner J H 2015 Phys. Rev. B 92 155417

  • [1] 郑钦仁, 詹涪至, 折俊艺, 王建宇, 石若立, 孟国栋. 石墨烯的形貌特征对其场发射性能的影响. 物理学报, doi: 10.7498/aps.73.20231784
    [2] 高丰, 李欢庆, 宋卓, 赵宇宏. 三模晶体相场法研究应变诱导石墨烯晶界位错演化. 物理学报, doi: 10.7498/aps.73.20241368
    [3] 陈善登, 白清顺, 窦昱昊, 郭万民, 王洪飞, 杜云龙. 金刚石晶界辅助石墨烯沉积的成核机理仿真. 物理学报, doi: 10.7498/aps.71.20211981
    [4] 苑营阔, 郭伟玲, 杜在发, 钱峰松, 柳鸣, 王乐, 徐晨, 严群, 孙捷. 石墨烯晶体管优化制备工艺在单片集成驱动氮化镓微型发光二极管中的应用. 物理学报, doi: 10.7498/aps.70.20210122
    [5] 王晓愚, 毕卫红, 崔永兆, 付广伟, 付兴虎, 金娃, 王颖. 基于化学气相沉积方法的石墨烯-光子晶体光纤的制备研究. 物理学报, doi: 10.7498/aps.69.20200750
    [6] 王天会, 李昂, 韩柏. 石墨炔/石墨烯异质结纳米共振隧穿晶体管第一原理研究. 物理学报, doi: 10.7498/aps.68.20190859
    [7] 张晓波, 青芳竹, 李雪松. 化学气相沉积石墨烯薄膜的洁净转移. 物理学报, doi: 10.7498/aps.68.20190279
    [8] 郑加金, 王雅如, 余柯涵, 徐翔星, 盛雪曦, 胡二涛, 韦玮. 基于石墨烯-钙钛矿量子点场效应晶体管的光电探测器. 物理学报, doi: 10.7498/aps.67.20180129
    [9] 李浩, 付志兵, 王红斌, 易勇, 黄维, 张继成. 铜基底上双层至多层石墨烯常压化学气相沉积法制备与机理探讨. 物理学报, doi: 10.7498/aps.66.058101
    [10] 谷季唯, 王锦程, 王志军, 李俊杰, 郭灿, 唐赛. 不同衬底条件下石墨烯结构形核过程的晶体相场法研究. 物理学报, doi: 10.7498/aps.66.216101
    [11] 王彬, 冯雅辉, 王秋实, 张伟, 张丽娜, 马晋文, 张浩然, 于广辉, 王桂强. 化学气相沉积法制备的石墨烯晶畴的氢气刻蚀. 物理学报, doi: 10.7498/aps.65.098101
    [12] 郭灿, 王锦程, 王志军, 李俊杰, 郭耀麟, 唐赛. BCC枝晶生长原子堆垛过程的晶体相场研究. 物理学报, doi: 10.7498/aps.64.028102
    [13] 高英俊, 全四龙, 邓芊芊, 罗志荣, 黄创高, 林葵. 剪切应变下刃型位错的滑移机理的晶体相场模拟. 物理学报, doi: 10.7498/aps.64.106104
    [14] 高英俊, 秦河林, 周文权, 邓芊芊, 罗志荣, 黄创高. 高温应变下的晶界湮没机理的晶体相场法研究. 物理学报, doi: 10.7498/aps.64.106105
    [15] 韩林芷, 赵占霞, 马忠权. 化学气相沉积法制备大尺寸单晶石墨烯的工艺参数研究. 物理学报, doi: 10.7498/aps.63.248103
    [16] 王浪, 冯伟, 杨连乔, 张建华. 化学气相沉积法制备石墨烯的铜衬底预处理研究. 物理学报, doi: 10.7498/aps.63.176801
    [17] 谢凌云, 肖文波, 黄国庆, 胡爱荣, 刘江涛. 光子晶体增强石墨烯THz吸收. 物理学报, doi: 10.7498/aps.63.057803
    [18] 郭灿, 王志军, 王锦程, 郭耀麟, 唐赛. 直接相关函数对双模晶体相场模型相图的影响. 物理学报, doi: 10.7498/aps.62.108104
    [19] 王文荣, 周玉修, 李铁, 王跃林, 谢晓明. 高质量大面积石墨烯的化学气相沉积制备方法研究. 物理学报, doi: 10.7498/aps.61.038702
    [20] 张琪, 王锦程, 张亚丛, 杨根仓. 多晶凝固及后续调幅分解过程的晶体相场法模拟. 物理学报, doi: 10.7498/aps.60.088104
计量
  • 文章访问数:  86
  • PDF下载量:  5
  • 被引次数: 0
出版历程
  • 上网日期:  2025-09-24

/

返回文章
返回