| 研究生: |
黃致華 Huang, Jhih-Hua |
|---|---|
| 論文名稱: |
奈米碳管力學性質之預估 Estimation of Mechanical Properties of Carbon Nanotubes |
| 指導教授: |
胡潛濱
Hwu, Chyanbin |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 航空太空工程學系 Department of Aeronautics & Astronautics |
| 論文出版年: | 2005 |
| 畢業學年度: | 93 |
| 語文別: | 中文 |
| 論文頁數: | 87 |
| 中文關鍵詞: | 有限元素 、奈米碳管 |
| 外文關鍵詞: | carbon nanotubes, finite elements |
| 相關次數: | 點閱:93 下載:2 |
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本文基於一些規範去計算碳原子的位置,以連體力學為基礎將奈米碳管視為空間構架,再以能量等效原理連結分子力學和結構力學的橋樑。在經過無因次化運算與一些假設之後,就可以利用一般的商業軟體,如ANSYS,去模擬單壁奈米碳管,進而預估其相關之力學性質,如楊氏係數、剪力模數、蒲松比、自然頻率和挫屈強度。
This thesis bases on the theory to calculates position of the carbon atom. Then, it regards carbon nanotube as frame-like structures based on continuum mechanics and equivalent principle of energy establish linkage between molecule mechanics and structural mechanics. The purpose of this paper is to simulate single-walled carbon nanotube with commercial finite element software, for example ANSYS, through some operation and assumption. Finally, we estimate mechanics properties of single-walled carbon nanotube, such as Young’s modulus, shear modulus, Poisson’s ratio, nature frequencies and buckling strength.
[1] 成會明, 奈米碳管 Carbon Nanotube, 五南圖書出版股份有限公司,2004。
[2] Iijima,S., “Helical Microtubules of Graphitic Carbon ,”Nature, Vol. 354, pp.56-58 , 1991.
[3] Bethune, D.S., Kiang, C.H. and Devries, M.S., “Cobalt-catalysed growth of carbon nanotubes with single-atomic-layer walls,”Nature, Vol. 363, pp.605-607 , 1993.
[4] Li, C. and Chou, T.W., “A structural mechanics approach for the analysis of carbon nanotubes,”Journal of Solids and Structures, Vol. 40, pp.2487-2499 , 2003.
[5] Treacy, M.M.J., Ebbesen, T.W. and Gibson, J.M, “Exceptionally high Young’s modulus observed for individual carbon nanotubes,”Nature, Vol. 381, pp.678-680 , 1996.
[6] Salvetat, J.P. and Briggs, G.A.D. and Bonard, J.M. and Bacsa, R.R. and Kulik, A.J. and Stöckli, T. and Burnham, N.A. and Forró L., “ Elastic and Shear Moduli of Single-Walled Carbon Nanotube Ropes,” Phys. Rev. Lett., Vol.82, pp.944-947, 1999.
[7] Yu, M. and Lourie, O. and Dyer, M.J. and Moloni, K. and Kelly, T.F. and Ruoff, R.S., “Strength and breaking mechanism of multiwalled carbon nanotubes under tensile load,”Science, Vol. 287, pp.637-640 , 2000.
[8] Zhang, P. and Huang, P.M. and Hwang, K.C., “ The elastc modulus of single-wall carbon nanotubes:a continuum analysis incorporating interatomic potentials,” Journal of Solid and Structures, Vol.39, pp.3893-3906, 2002.
[9] Lier, G.V. and Alsenoy, C.V. and Dron, V.V. and Geerlings, P., “Ab intitio study of the elastic properties of single-walled carbon nanotubes and grapheme,”Chemical Physics Letters, Vol. 326, pp.181-185 , 2000.
[10] Hernande, E., Goze, C. and Bernier, P. and Rubio, A., “Elastic properties of C and composite nanotube,”Phys Rev Lett, Vol. 80, pp.4502-4505 , 1998.
[11] Chang, T.C. and Gao, H.J., “Size-dependent elastic properties of a single-walled carbon nanotubes via a molecular mechanics model,”Physics of Solids, Vol. 51, pp.1059-1074 , 2003.
[12] Dresselhaus, M.S., Dresselhaus, G. and Saito, R., “Physics of Carbon Nanotubes,”Carbon, Vol. 33, pp.883-891 , 1995.
[13] Iijima, S., “Pentagons, heptagons and negative curvature in graphite microtubule growth,”Natur, Vol. 356, pp.776-780 , 1992.
[15]Amelinckx, S. and Bernaerts, D., “A formation mechanism for catalytically grown heli-shaped graphite nanotubes,” Science., Vol.265, pp.635-645, 1994.
[16] Lennard-Jones, J.E., “The determination of molecular fields:from the variation of the viscosity of a gas with temperature,”Proc. Roy. Soc., Vol. 106A, pp.441-453 , 1924.
[17] Dai, H.J., Hafner, J.H. and Rinzler, A.G., et al., “A Carbon Nanotube field emission electron source,”Science, Vol. 270, pp.1179-1180 , 1996.
[18] DeHeer, W.A., Chatelain, A. and Ugarte, D., “A Carbon Nanotube field emission electron source,”Science, Vol. 270, pp.1179-1180 , 1995.
[19] Rinzler, A.G. and Hafner, J.H., “ Unraveling Nanotube:Field Emission from an Atomic Wire,” Science, Vol.269, pp.1550-1553, 1995.
[20] Machida, K., Principles of Molecular Mechanics, Kodansha and John Wiley & Sons Co-publication, Tokyo, 1999.
[21] Cornell, W.D., Cieplak, P. and Bayly, C.I., et al., “A second generation force-field for the simulation of proteins, nucleic-acids, and Organic- -molecules,”Journal of American Chemical Society, Vol. 117, pp.5179-5197 , 1995.
[22] Yakobson, B.I., Brabec, C.J. and Bernholc, J., “Nanomechanics of Carbon Tubes: Instabilities beyond Linear Response,”Phys Rev Lett, Vol. 76, pp.2511-2514, 1996.
[23] Vodenitcharova, T. and Hafner, L.C., “ Effective Wall thickness of a single-wall carbon nanotube,” phy. Rev. B, Vol.68, pp.16540-165404, 2003.
[24] Lu, J.P.,“ Elastic Properties of Carbon Nanotubes and Nanoropes,”Phy Rev Lett, Vol. 79, pp.1297-1300 , 1997.
[25] Sanchez-Portal, D. and Artacho, E.and Soler J.M., “ Ab initio structural, elastic and vibrational properties of carbon nanotubes,” Phys. Rev. B, Vol.59, pp.12678-12688, 1999.
[26] Clough, R.W., Penzien, J., Dynamics of Structures, 1975.
[27] Li, C. and Chou, T.W., “Vibrational behaviors of multiwalled nanotube based nanomechanical resonators,”Appl. Phys. Lett., Vol. 84, pp.121-123 , 2004.
[28] Chen, W.F and Lui, E.M.,Structural Stability Theory and Implementation. Elsevier Science Publishing Co. Inc, New York , 1987.
[29] Li, C. and Chou,T.W., “Single-walled carbon nanotubes ultrahigh frequency nanomechanical resonators,”Physical Review B, Vol. 68, pp.073405-1 , 2003.
[30] Li, C. and Chou, T.W., “Modeling of elastic buckling of carbon nanotubes by molecular structural mechanics approach,”Mechanics of Solids Materials, Vol. 36, pp.1047-1055 , 2004.
[31] 劉若梅, “一維奈米碳材合成與微結構之研究”, 國立成功大學材料科學及工程所碩士論文, 2002.
[32] 化工產業技術知訊網http://www.chemtech.com.tw, 2005
[33]奈米專欄http://www.chemnet.com.tw/magazine/200303/index4.htm, 2005
[34] ANSYS 8.1 Documentation : ANSYS Element Reference