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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.
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Keywords:
- carbon nanotubes /
- dynamic buckling /
- impact loading
[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]
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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]
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