Dynamic torsional buckling of multi-walled carbon nanotubes embedded in an elastic medium
In this paper the dynamic torsional buckling of multi-walled carbon nanotubes (MWNTs) embedded in an elastic medium is studied by using a continuum mechanics model. By introducing initial imperfections for MWNTs and applying the preferred mode analytical method, a buckling condition is derived for t...
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Published in | Acta mechanica Sinica Vol. 24; no. 5; pp. 541 - 547 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
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Springer-Verlag
01.10.2008
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Abstract | In this paper the dynamic torsional buckling of multi-walled carbon nanotubes (MWNTs) embedded in an elastic medium is studied by using a continuum mechanics model. By introducing initial imperfections for MWNTs and applying the preferred mode analytical method, a buckling condition is derived for the buckling load and associated buckling mode. In particular, explicit expressions are obtained for embedded double-walled carbon nanotubes (DWNTs). Numerical results show that, for both the DWNTs and embedded DWNTs, the buckling form shifts from the lower buckling mode to the higher buckling mode with increasing the buckling load, but the buckling mode is invari- able for a certain domain of the buckling load. It is also indicated that, the surrounding elastic medium generally has effect on the lower buckling mode of DWNTs only when compared with the corresponding one for individual DWNTs. |
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AbstractList | In this paper the dynamic torsional buckling of multi-walled carbon nanotubes (MWNTs) embedded in an elastic medium is studied by using a continuum mechanics model. By introducing initial imperfections for MWNTs and applying the preferred mode analytical method, a buckling condition is derived for the buckling load and associated buckling mode. In particular, explicit expressions are obtained for embedded double-walled carbon nanotubes (DWNTs). Numerical results show that, for both the DWNTs and embedded DWNTs, the buckling form shifts from the lower buckling mode to the higher buckling mode with increasing the buckling load, but the buckling mode is invari- able for a certain domain of the buckling load. It is also indicated that, the surrounding elastic medium generally has effect on the lower buckling mode of DWNTs only when compared with the corresponding one for individual DWNTs. In this paper the dynamic torsional buckling of multi-walled carbon nanotubes (MWNTs) embedded in an elastic medium is studied by using a continuum mechanics model. By introducing initial imperfections for MWNTs and applying the preferred mode analytical method, a buckling condition is derived for the buckling load and associated buckling mode. In particular, explicit expressions are obtained for embedded double-walled carbon nanotubes (DWNTs). Numerical results show that, for both the DWNTs and embedded DWNTs, the buckling form shifts from the lower buckling mode to the higher buckling mode with increasing the buckling load, but the buckling mode is invariable for a certain domain of the buckling load. It is also indicated that, the surrounding elastic medium generally has effect on the lower buckling mode of DWNTs only when compared with the corresponding one for individual DWNTs. |
Author | Chengqi Sun Kaixin Liu Guoxing Lu |
AuthorAffiliation | LTCS and Department of Mechanics & Aerospace Engineering,College of Engineering, Peking University,Beijing 100871, China Faculty of Engineering and Industrial Science,Swinburne University of Technology,Hawthorn, Melbourne, VIC 3122, Australia |
Author_xml | – sequence: 1 givenname: Chengqi surname: Sun fullname: Sun, Chengqi organization: LTCS and Department of Mechanics & Aerospace Engineering, College of Engineering, Peking University – sequence: 2 givenname: Kaixin surname: Liu fullname: Liu, Kaixin email: kliu@pku.edu.cn organization: LTCS and Department of Mechanics & Aerospace Engineering, College of Engineering, Peking University – sequence: 3 givenname: Guoxing surname: Lu fullname: Lu, Guoxing organization: Faculty of Engineering and Industrial Science, Swinburne University of Technology |
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CitedBy_id | crossref_primary_10_1016_j_apm_2012_09_061 crossref_primary_10_1007_s10409_011_0546_5 crossref_primary_10_1016_S0894_9166_09_60388_8 crossref_primary_10_12677_IJM_2013_21002 crossref_primary_10_1007_s11433_013_5009_5 |
Cites_doi | 10.1016/j.jmps.2004.08.003 10.1088/0964-1726/15/4/028 10.1088/0022-3727/39/15/024 10.1016/j.jmps.2006.04.009 10.1063/1.372973 10.1007/s11340-006-7906-2 10.1166/jnn.2003.185 10.4028/www.scientific.net/KEM.334-335.745 10.1016/j.ijsolstr.2005.02.038 10.1038/354056a0 10.1016/j.ijsolstr.2006.04.031 10.1016/j.euromechsol.2003.07.001 10.1016/j.jmps.2007.05.008 10.1016/j.ijsolstr.2007.11.009 10.1115/1.1778415 10.1016/S0022-5096(00)00079-X 10.1016/j.jmps.2003.08.004 10.1016/S0020-7683(03)00213-0 10.1103/PhysRevB.74.245413 10.1016/j.ijsolstr.2006.06.027 10.1063/1.123330 10.1103/PhysRevLett.76.2511 10.1088/0022-3727/40/13/018 10.1063/1.1743030 10.1016/S0009-2614(01)01127-7 10.1103/PhysRevB.73.155435 10.1115/1.3624966 10.1103/PhysRevB.72.064101 10.1103/PhysRevLett.88.205505 10.1115/1.3625801 10.1103/PhysRevB.73.085409 |
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Snippet | In this paper the dynamic torsional buckling of multi-walled carbon nanotubes (MWNTs) embedded in an elastic medium is studied by using a continuum mechanics... In this paper the dynamic torsional buckling of multi-walled carbon nanotubes (MWNTs) embedded in an elastic medium is studied by using a continuum mechanics... |
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SubjectTerms | Classical and Continuum Physics Computational Intelligence Engineering Engineering Fluid Dynamics Research Paper Theoretical and Applied Mechanics 力学性能 动力学曲率 弹性介质 碳元素 |
Title | Dynamic torsional buckling of multi-walled carbon nanotubes embedded in an elastic medium |
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