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石墨烯-纳米探针相互作用有限元准静态计算

张保磊 王家序 肖科 李俊阳

引用本文:
Citation:

石墨烯-纳米探针相互作用有限元准静态计算

张保磊, 王家序, 肖科, 李俊阳

Quasi-static finite element calculation of interaction between graphene and nanoprobe

Zhang Bao-Lei, Wang Jia-Xu, Xiao Ke, Li Jun-Yang
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  • 纳米尺度探针是研究纳米薄膜材料的重要工具. 针对纳米探针和石墨烯相互作用有限元模型静态计算中难以收敛的困难,应用动态显式算法通过间歇式探针进给方式进行能量耗散,得出静态计算结果. 模型中界面作用力由界面黏结能和原子间作用势导出并植入Abaqus软件中界面作用子程序,实现对石墨烯、探针,基体系统内相互作用的仿真计算. 通过对比计算结果和实验数据,对实验结果给出了一致性解释.
    Probes of nano scale are a type of important tools for the study on nano-film material. Dynamic explicit method accompanied by the intermittent feeding of probe to dissipate the energy is applied to avoid the difficulty of convergence in the finite element model for a system of probe, graphene, and substrate. And the results of a static state are obtained from this strategy. The functions of interface interaction forces are deduced from adhesion energy and the potential between atoms. The force functions are implanted into subroutines in Abaqus code to simulate the interactions among graphene layers, probe, and substrate. Results of simulations show good consistency with the data of experiments.
    • 基金项目: 国家自然科学基金(批准号:51375506)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 51375506).
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    [2]

    Bae S, Kim H, Lee Y, Xu X, Park J S, Zheng Y, Balakrishnan J, Lei T, Kim H R, Song Y I 2010 Nature Nanotech. 5 574

    [3]
    [4]

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    [5]
    [6]
    [7]

    Koenig S P, Wang L, Pellegrino J, Bunch J S 2012 Nature Nano. 7 728

    [8]

    Jiang D E, Cooper V R, Dai S 2009 Nano Lett. 9 4019

    [9]
    [10]
    [11]

    Han Y, Xu Z, Gao C 2013 Adv. Funct. Mater. 23 3693

    [12]
    [13]

    Bunch J S, Verbridge S S, Alden J S, van der Zande A M, Parpia J M, Craighead H G, McEuen P L 2008 Nano Lett. 8 2458

    [14]
    [15]

    Bunch J, van der Zande A, Verbridge S, Frank I, Tanenbaum D, Parpia J, Craighead H, McEuen P 2007 Sci. 315 490

    [16]
    [17]

    Castro N A H, Peres N M R, Novoselov K S, Geim A K 2009 Rev. Mod. Phys. 81 109

    [18]

    Novoselov K S, Morozov S V, Mohinddin T M G, Ponomarenko L A, Elias D C, Yang R, Barbolina I I, Blake P, Booth T J, Jiang D, Giesbers J, Hill E W, Geim A K 2007 Phys. Status. Solidi. B 244 4106

    [19]
    [20]
    [21]

    Chen S, Wu Q, Mishra C, Kang J, Zhang H, Cho K, Cai W, Balandin A A, Ruoff R S 2012 Nat. Mater. 11 203

    [22]
    [23]

    Russo S, Oostinga J B, D Wehenkel, H B Heersche, S S Sobhani, L M K Vandersypen, A. F. Morpurgo 2007 e-print arXiv: 0711 1508

    [24]

    Cheianov V V, Fal'ko V I 2006 Phys. Rev. B 74 041403

    [25]
    [26]
    [27]

    Cheianov V V, V Fal'ko, Altshuler B L 2007 Sci. 315 1252

    [28]

    Ossipov A, Titov M, Beenakker C W J 2007 Phys. Rev. B 75 241401

    [29]
    [30]

    Qin M M, Ji W, Feng Y Y, Feng W 2014 Chin. Phys. B 23 028103

    [31]
    [32]
    [33]

    Zhang Y P, Yin Y H, L H H, Zhang H Y 2014 Chin. Phys. B 23 027202

    [34]
    [35]

    Eda G, Fanchini G, Chhowalla M 2008 Nat. Nanotechnol. 3 270

    [36]
    [37]

    Robinson J T, Perkins F K, Snow E S, Wei Z, Sheehan P E 2008 Nano. Lett. 8 3137

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    [39]

    Robinson J T, Zalalutdinov M, Baldwin J W, Snow E S, Wei Z, Sheehan P, Houston B H 2008 Nano Lett. 8 441

    [40]
    [41]

    Stankovich S, Dikin D A, Dommett G H B, Kohlhaas K M, Zimney E J, Stach E A, Piner R D, Nguyen S T, Ruoff R S 2006 Nat. 442 282

    [42]

    Liu N, Luo F, Wu H, Liu Y, Zhang C, Chen J 2008 AdV. Funct. Mater 18 1518

    [43]
    [44]

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    [45]
    [46]

    Stankovich S, Dikin D A, Dommett G H B, Kohlhaas K M, Zimney E J, Stach E A, Piner R D, Nguyen S T, Ruoff R S 2006 Nat. 442 282

    [47]
    [48]
    [49]

    Hou H P, Xie Y E, Chen Y P, Ou Y T, Ge Q X, Zhong J X 2013 Chin. Phys. B 22 087303

    [50]
    [51]

    Gao T H 2014 Acta Phys. Sin. 63 046102 (in Chinese) [高潭华 2014 物理学报 63 046102]

    [52]
    [53]

    Hui Z X, He P F, Dai Y, Wu A H 2014 Acta. Phys. Sin. 63 074401 (in Chinese) [惠治鑫, 贺鹏飞, 戴瑛, 吴艾辉 2014 物理学报 63 074401]

    [54]

    Yang J S, Huang D H, Cao Q L, Li Q, Wang L Z, Wang F H 2013 Chin. Phys. B 22 098101

    [55]
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    [57]

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    Huang W B, Wang G L, Gao F Q, Qiao Z T, Wang G, Chen M J, Tao L, Deng Y, Sun L F 2014 Chin. Phys. B 23 046802

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    Han T W, He P F 2010 Acta. Phys. Sin. 59 3408 (in Chinese) [韩同伟, 贺鹏飞 2010 物理学报 59 3408]

    [63]
    [64]

    Shin Y J, Stromberg R, Nay R, Huang H, Wee A T S, Yang H, Bhatia C S 2011 Carbon 49 4070

    [65]
    [66]

    Kim K S, Lee H J, Lee C, Lee S K, Jang H, Ahn J H, Kim J H, Lee H J 2011 ACS Nano 5 5107

    [67]
    [68]
    [69]

    Lee C, Wei X, Kysar J, Hone J 2008 Sci. 321 385

    [70]

    Lee G H, Cooper R C, An S J, Lee S, van der Zande A, Petrone N, Hammerberg A G, Lee C, Crawford B, Oliver W, Kysar J W, Hone J 2013 Sci. 340 1073

    [71]
    [72]

    Filleter T, McChesney J L, Bostwick A, Rotenberg E, Emtsev K V, Seyller T, Horn K, Bennewitz R 2009 Phys. Rev. Lett. 102 086102

    [73]
    [74]
    [75]

    Lee C, Li Q, Kalb W, Liu X, Berger H, R W Carpick, Hone J 2010 Sci. 328 76

    [76]

    B I Yakobson, C J Brabec, J Bernholc 1996 Phys. Rev. Lett. 76 14

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    [79]

    Jacobs T D B, Ryan K E, Keating P L, Grierson D S, Lefever J A, Turner K T, Harrison J A, Carpick R W 2013 Tribol. Lett. 50 81

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出版历程
  • 收稿日期:  2014-01-17
  • 修回日期:  2014-03-05
  • 刊出日期:  2014-08-05

石墨烯-纳米探针相互作用有限元准静态计算

  • 1. 机械传动国家重点实验室, 重庆大学, 重庆 400038
    基金项目: 国家自然科学基金(批准号:51375506)资助的课题.

摘要: 纳米尺度探针是研究纳米薄膜材料的重要工具. 针对纳米探针和石墨烯相互作用有限元模型静态计算中难以收敛的困难,应用动态显式算法通过间歇式探针进给方式进行能量耗散,得出静态计算结果. 模型中界面作用力由界面黏结能和原子间作用势导出并植入Abaqus软件中界面作用子程序,实现对石墨烯、探针,基体系统内相互作用的仿真计算. 通过对比计算结果和实验数据,对实验结果给出了一致性解释.

English Abstract

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