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研究生: 張儀婷
Chang, I-Ting
論文名稱: 含圓形微構件蜂巢材料力學性質之數值分析
Numerical Analyses for the In-plane Mechanical Properties of Circular Cell Honeycombs
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: 2006
畢業學年度: 94
語文別: 中文
論文頁數: 75
中文關鍵詞: 蜂巢材料
外文關鍵詞: mechanical properties, honeycombs
相關次數: 點閱:63下載:11
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  • 本研究主要探討含圓形微構件蜂巢材料承受單軸應力作用下,其相關力學性質之數值分析。當一蜂巢材料承受單軸應力作用時,可能破壞機制,包括彈性挫曲及塑形降伏等,利用有限元素套裝軟體ABAQUS,建立點接觸圓形蜂巢材料,及具膠結面積圓形蜂巢材料之重複單元體分析模式,經數值分析後,求得具圓形微構件蜂巢材料承受單軸應力時之彈性模數、塑性降伏強度及彈性挫曲強度等。最後,利用本文數值分析獲得之具圓形微構件蜂巢材料彈性模數、降伏強度及挫曲強度,分別與具相同相對密度六角形蜂巢材料之相關力學性質互相比較,以探討蜂巢材料之最佳微結構,研究結果可供設計蜂巢材料者選擇微結構時之參考與依據。

    The in-plane mechanical properties of circular cell honeycombs are derived through numerical finite element analyses. When a honeycomb is loaded uniaxially, plastic yielding and elastic buckling are two possible failure mechanisms. The numerical analyses on the mechanical properties of the smallest repeating unit of circular cell honeycombs are conducted by using a finite element package ABAQUS. As a result, the Young’s modulus, plastic yield strength and elastic buckle strength of circular cell honeycombs are numerically obtained and compared to those of regular hexagonal cell honeycombs. Furthermore, the comparisons between circular cell honeycombs and hexagonal cell honeycombs provide some ways to optimize the microstructure of honeycombs for engineering demand.

    摘要 ...........................................I Abstract.......................................II 誌謝 .........................................III 表目錄........................................VII 圖目錄.......................................VIII 第一章 緒論.....................................1 1.1研究動機目的.................................1 1.2本文組織與內容...............................2 第二章 相關理論及文獻回顧.......................3 2.1細胞型材料...................................3 2.2蜂巢材料之變形機制...........................5 2.3六角形蜂巢材料之單軸抗壓行為.................6 2.3.1線彈性變形.................................7 2.3.2彈性挫曲...................................8 2.3.3塑性破壞...................................9 2.4圓形蜂巢材料之單軸抗壓行為..................10 2.4.1線彈性變形................................11 第三章 含圓形微構件之蜂巢材料抗壓行為..........20 3.1楊氏模數....................................20 3.2塑性降伏強度 ...............................22 3.3彈性挫曲強度 ...............................22 3.4 圓形與規則六角形蜂巢材料力學性質之比較.... 23 第四章 具膠結部份圓形微構件之蜂巢材料抗壓行為 .40 4.1具膠結部份微構件幾何分析 ...................40 4.2楊氏模數 ...................................40 4.3塑性降伏強度 ...............................42 4.4彈性挫曲強度 ...............................42 4.5圓形與規則六角形蜂巢材料之力學性質之比較 ...43 第五章 結論 ...................................72 參考文獻 ......................................74

    [1] L. J. Gibson and M. F. Ashby, “Cellular Solid: Structure and properties,” 2nd edition, Cambridge University Press. (1997).
    [2] J. Chung and A. M. Waas, “The inplane elastic properties of circular cell and elliptical cell honeycombs,” Acta Mechanica 144: 29-42 (2000).
    [3] Jibbitt, Karlsson and Sorensen, Inc. “Abaqus/Standard user’s manual”
    [4] J. Chung and A. M. Waas, “Elastic imperfection sensitivity of hexagonally packed circular-cell honeycombs,” The Royal Society 458: 2581-1868 (2002)
    [5] J. Hohe and W.Becker, “An energetic homogenization procedure for the elastic properties of general cellular sandwich cores,” Composites Part B: engineering, 32: 185-197 (2001).
    [6] J. Chung and A. M. Waas, “Compressive response and failure of circular cell polycarbonate honeycombs under inplane uniaxial stresses” Journal of engineering material and technology, 121: 494-502 (1999).
    [7] S. D. Papka and S. Kyriakides, “In-plane crushing of a polycarbonate honeycomb” International journal of solids and structures, 35: 239-367 (1998).

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