由於奈米碳管具有許多優異之材料、機械、熱傳及電學特性，近年來引起廣泛的研究。本論文旨在建立一等效連體力學分析模式以快速、準確的反算單層奈米碳管材料性質，如等效楊氏模數(Young’s modulus)及柏松比(Poisson’s ratio)等。
本論文首先以連體力學分析為基礎，分別推導等效彈簧及梁單元以模擬碳原子間之鍵結力，並以之建立有限單元分析模型，配合不同負載，以反算石墨及鋸齒型與扶手型單層奈米碳管之材料性質。所得結果與文獻中之實驗及模擬結果相較，顯示應用等效梁單元之有限單元分析模型具有較高的準確性。
最後，本論文應用等效梁單元之有限單元分析模型進一步探討凡得瓦力(van der Waals force)對於單層奈米碳管材料性質的影響。凡得瓦力係以等效非線性彈簧單元模擬。研究結果發現，凡得瓦力對於單層奈米碳管之材料性質具有相當程度的影響。

Carbon nanotubes (CNTs) have stimulated wide research activities in recent years because of the merits of their special material, mechanical, thermal and electric properties. The objective of this work is to develop an equivalent continuum mechanics analysis model to make an in-verse-calculation of the material properties of single-walled CNTs fastly and accurately, such as equivalent Young’s modulus and Poisson’s ratio.
Firstly, based on the continuum mechanics analysis, the equivalent spring and beam elements are derived to simulate the bond forces be-tween carbon atoms, respectively. By establishing the finite element mod-els using respective equivalent elements, the inverse-calculation of the material properties of graphite and single-walled CNTs with zigzag and armchair type can be made subjected to different loadings. The compari-sons between the present results and available experimental and simulat-ing data show that the finite element analysis model using equivalent beam elements has higher accuracy.
Finally, the finite element analysis model using equivalent beam elements is adopted to further study the influence of the van der Waals forces on the material properties of single-walled CNTs. The van der Waals forces are simulated by equivalent nonlinear spring elements. It is found that the van der Waals forces have significant influence on the ma-terial properties of single-walled CNTs.

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