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轴向冲击载荷作用下双壁碳纳米管的动力屈曲

姚小虎 张晓晴 韩强

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轴向冲击载荷作用下双壁碳纳米管的动力屈曲

姚小虎, 张晓晴, 韩强

Dynamic buckling of double-walled carbon nanotubesunder axial impact loading

Yao Xiao-Hu, Zhang Xiao-Qing, Han Qiang
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  • 应用改进的有限元方法,建立考虑层间范德华力作用的壳-弹簧非线性有限元模型,基于B-R运动准则,系统地研究了双壁碳纳米管的动力屈曲问题,得到了轴向冲击载荷作用下双壁碳纳米管的临界动力屈曲载荷和临界动力失效载荷. 研究结果表明,在动力屈曲过程中,双壁碳纳米管层间距的变化非常小,各管的变形相互协调;碳纳米管中应力波的传播导致碳纳米管出现非对称屈曲模态,可明显观测到四个环向波瓣,沿着碳纳米管的轴线方向,四个波瓣的波峰和波谷交替变化. 对碳纳米管动力屈曲问题的研究表明,冲击载荷的大小和持续时间对碳纳米管的动力屈曲有
    Using the modified finite element method, the nonlinear shell-spring finite element model is established with taking the van der waals force into account. Based on the B-R motion criterion, the dynamic bucking behaviors of multi-walled carbon nanotubes are examined systemically. The dynamic critical loads for buckling and failure of double-walled carbon nanotubes under axial impact load are obtained. It is shown that in the dynamic buckling process of multi-walled carbon nanotubes, the deformation of each wall is harmonious to each other and the change of interlayer spacing is very small. The magnitude and the duration of impact load as well as the length of carbon nanotube have greater effects on the dynamic buckling of carbon nanotubes. For the shorter carbon nanotubes, asymmetrical buckling mode appears earlier. The simulations further show that the stress wave propagation in carbon nanotubes induces the asymmetrical buckling mode. In the dynamic buckling process of carbon nanotubes, there are four circumferential lobes that can be observed obviously, and their wave crest and trough of the lobes change alternately.
    • 基金项目: 国家自然科学基金(批准号:10902040/A020602),广东省自然科学基金(批准号:8451064101000229),教育部高校博士点基金和华南理工大学中央高校基金(批准号:2009ZM0238,2009ZM0280),广东省高校优秀青年创新人才培养计划(批准号:LYM08016)和广东省优秀博士学位论文作者资助项目资助的课题.
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    Zang J L, Yuan Q, Wang F C 2009 Computational Materials Science 46 621

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    Yao X H, Han Q 2008 Computational Materials Science 43 579

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    Yao X H, Han Q 2007 Euro. J. of Mech. A-solids 26 20

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    He X Q, Kitipornchai S, Liew K M 2005 J. Mech. Phys. Solids. 53 303

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  • [1]

    Iijima S 1991 Nature 354 56

    [2]

    Iijima S, Brabec C, Maiti A, Bernholc J 1996 J.Chem.Phys. 104 2089

    [3]

    Treacy M M J, Ebbesen T W, Gibson J M 1996 Nature 381 678

    [4]

    Postma H W, Teepen T, Yao Z, Grifoni M, Dekker C 2001 Science 292 76

    [5]

    Yakobson B I, Brabec C J, Bernholc J 1996 Phys.Rev.Lett. 76 2511

    [6]

    Liew K M, Wong C H, He X Q Tan M J, Meguid M A 2004 Phys. Rev. B 69 115429

    [7]

    Liew K M, He X Q, Wong C H 2004 Acta. Mater 52 2521

    [8]

    Wang Y, Wang X X, Ni X G, Wu H A 2003 Acta Phys. Sin. 52 3120 (in Chinese) [王 宇、王秀喜、倪向贵、吴恒安 2003 物理学报 52 3120]

    [9]

    Wang Y, Wang X X, Ni X G, Wu H A 2005 Comp. Mater. Sci. 32 141

    [10]

    Wang Y, Ni X G, Wang X X, Wu H A 2003 Chin. Phys. 12 1007

    [11]

    Chen W,Luo C L 2006 Acta Phys. Sin. 55 386 (in Chinese) [陈 伟、罗成林 2006 物理学报 55 386]

    [12]

    Ruoff R S, Tersoff J, Lorents D C, Subramoney S, Chan B 1993 Nature 364 514

    [13]

    Hernandez E, Goze C, Bernier P,Rubio A 1998 Phys. Rev. Lett. 80 4502

    [14]

    Zang J L, Yuan Q, Wang F C 2009 Computational Materials Science 46 621

    [15]

    Ru C Q 2001 J. Mech. Phys. Solids. 49 1265

    [16]

    Yao X H, Han Q, Xin H 2008 Acta Phys. Sin. 57 329 (in Chinese) [姚小虎、韩 强、辛 浩 2008 物理学报 57 329]

    [17]

    Yao X H, Han Q 2008 Computational Materials Science 43 579

    [18]

    Yao X H, Han Q 2007 Euro. J. of Mech. A-solids 26 20

    [19]

    He X Q, Kitipornchai S, Liew K M 2005 J. Mech. Phys. Solids. 53 303

    [20]

    Xie G Q, Han X, Long S Y, Tian J H 2005 Acta Phys. Sin. 54 226 (in Chinese) [谢根全、韩 旭、龙述尧、田建辉 2005 物理学报 54 226]

计量
  • 文章访问数:  7229
  • PDF下载量:  580
  • 被引次数: 0
出版历程
  • 收稿日期:  2010-09-29
  • 修回日期:  2010-11-25
  • 刊出日期:  2011-09-15

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