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研究生: 沈振鵬
Sam, Chan-Pang
論文名稱: 具曲度及變剖面微構件之蜂巢材料力學性質
指導教授: 黃忠信
Huang, Jong-Shin
學位類別: 碩士
Master
系所名稱: 工學院 - 土木工程學系
Department of Civil Engineering
論文出版年: 2004
畢業學年度: 92
語文別: 中文
論文頁數: 106
中文關鍵詞: 曲度蜂巢材料變剖面
相關次數: 點閱:52下載:4
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  •   本研究針對具曲度及變剖面微觀構件之蜂巢材料,探討此二類微構件缺陷對蜂巢材料彈性模數、柏松比和塑性降伏強度之影響,首先,建立一具曲度及變剖面蜂巢材料之幾何模型,再利用材料力學方法於曲度及變剖面之微構件缺陷條件下,應用樑之變形理論推導其彈性變形,進而獲得具曲度與變剖面蜂巢材料之彈性模數、柏松比和塑性降伏強度,發現此類蜂巢材料之力學行為與其微觀結構息息相關,由推導結果發現其彈性模數與塑性降伏強度之變化趨勢類似。另外,應用數值結果建立此蜂巢材料力學性質與相對密度之關係式,再利用回歸方法獲得與其他微觀參數之關係式,故由所求得關係式可準確預估其彈性模數與塑性降伏強度,更進一步可利用本研究所得之關係式,設計或改良於不同微觀參數下之蜂巢材料,對不同工程設計需求下可尋獲一具最佳微結構之蜂巢材料。

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    摘要.........................................................I 誌謝.........................................................II 目錄.........................................................IV 表目錄.........................................................VI 圖目錄.......................................................VIII 第一章 緒論.................................................1 1.1 研究動機與目的........................................1 1.2 本文組織與內容........................................3 第二章 文獻回顧與相關理論...................................6 2.1 變形機制..............................................6 2.2 相對密度..............................................7 2.3 單軸抗壓行為..........................................9 2.3.1 線彈性變形.........................................9 2.3.2 塑性破壞強度.......................................13 第三章 理論模式與推導.......................................22 3.1 具曲度及變剖面微構件之幾何分析........................22 3.2 微構件之彈性變位......................................26 3.3 彈性模數..............................................28 3.4 塑性降伏..............................................32 第四章 數據整理與分析.......................................43 4.1 曲度與變剖面對彈性模數之影響..........................43 4.2 具曲度及變剖面於彈性模數之關係........................44 4.3 彈性模數之數值結果表示式..............................46 4.4 具曲度及變剖面蜂巢材料柏松比..........................48 4.5 曲度與變剖面對塑性破壞強度之影響......................48 4.6 具曲度及變剖面蜂巢材料之塑性破壞強....................50 4.7 塑性破壞強度之數值結果表示式係........................52 第五章 結論.................................................103 參考文獻.....................................................105

    [1] L. J. Gibson and M. F. Ashby, “Cellular Solid: Structure and properties,” 2nd edition, Cambridge University Press, 1997.

    [2] M. Y. Yang and J. S. Huang, “Numerical analysis of the stiffness and strength of regular hexagonal honeycombs with plateau borders,” Composite Structures, Vol.64, 107-114, 2003.

    [3] C. H. Chuang and J. S. Huang, “Elastic moduli and plastic collapse strength of hexagonal honeycomb with plateau border,” International. Journal of Mechanical Sciences, Vol.44, 1827-1844, 2002.

    [4] J. S. Huang and F. M. Chang, “Elastic moduli and strength of hexagonal honeycombs with curved cell edges,” Composite Structures, in press, 2004.

    [5] A. E. Simone and L. J. Gibson, “Effects of solid distribution on the stiffness and strength of metallic foams,” Acta Materialia Vol.46, No.6, 2139-2450, 1998.

    [6] C. H. Chuang and J. S. Huang, “Theoretical expressions for describing the stiffness and strength of regular hexagonal honeycombs with Plateau borders,” Materials & Design, Vol.24, 263-272, 2003.

    [7] C. H. Chuang and J. S. Huang, “Effects of solid distribution on the elastic buckling of honeycombs,” International Journal of Mechanical Sciences, Vol.44, 1429-1433, 2002.

    [8] C. H. Chuang and J. S. Huang, “Yield surfaces for hexagonal honeycombs with Plateau borders under in-plane biaxial loads,” Acta Mechanica Vol.159, 157-172, 2002.

    [9] K. Li, X.-L. Gao and G. Subhash, “Effects of cell imperfections on the elastic properties of two-dimensional cellular solids,”ICCE/10 Proceedings, 405-406, 2003.

    [10] H. X. Zhu, J. R. Hobdell and A. H. Windle, “Effects of cell irregularity on the elastic properties of 2D Voronoi honeycombs,” Journal of the Mechanics and Physics of Solids, Vol.49, 857-870, 2001.

    [11] C. Chen, T. J. Lu and N. A. Fleck, “Effect of imperfection on the yielding of two-dimensional foams,” J. Mech. Phys. Solids Vol.47, 2235-2272, 1999.

    [12] 黃忠信 , 陳婷容, “泡沫鋁合金之微觀結構特性” 中國土木水利工程學刊 第十五卷 第二期, 419-426, 2003.

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