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研究生: 林慧菁
Lin, Hui-Ching
論文名稱: 下顎骨之三維有限元素模型建立與力學分析
Three-Dimensional Finite Element Modeling and Stress Analysis of Mandible
指導教授: 褚晴暉
Chue, Ching-Hwei
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2003
畢業學年度: 91
語文別: 中文
論文頁數: 55
中文關鍵詞: 下顎骨有限元素法橫向等向性主應力
外文關鍵詞: finite element method, mandible, transversely isotropic, principal stress
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  • 本文由人體下顎骨之斷層掃描圖,建立出三維有限元素模型,在相同受力狀態下以不同的材料性質模擬下顎骨受負荷的情況,探討材料性質的定義對分析結果的影響;施加咬力在右側臼齒與下門齒時,觀察下顎骨的應力分佈並討論肌肉力量對應力分佈的影響;以及當下巴受到外力作用時下顎骨的應力分佈。以主應力分佈探討下顎骨在咬合時之受力狀況,並討論下顎骨幾何形狀與應力集中位置的關係。

    分析結果發現材料性質的定義對下顎骨的力學分析有相當的影響;而肌肉力量在咀嚼行為時,對於下顎骨有減低其應力集中之效果;另外,外力的施加缺乏肌肉力的作用,下顎骨幾何形狀變化較大之位置便出現應力提高的現象。

    The objective of this paper is to set up a three-dimensional finite element model of a mandible from computer tomography image and to obtain the stress field during bite or external point force on the jaw. The magnitude of the four muscle forces via temporalis, masseter, internal pterygoid and external pterygoid muscles are computed from static force equilibrium with bite force. The cortical and cancellous bones of mandible can be simulated as an isotropic or transversely isotropic material.
    The results are shown graphically by plotting the principal stress contours. The regions where the stresses concentrate are selected to show the differences when isotropic or transversely isotropic material is used. In addition, the stress concentration can be reduced when four muscle forces are properly introduced.

    摘要Ⅰ 英文摘要Ⅱ 誌謝Ⅲ 目錄Ⅳ 表目錄Ⅵ 圖目錄Ⅶ 符號說明Ⅹ 第一章 緒論1 1.1 前言1 1.2 文獻回顧2 1.3 研究動機與目的7 1.4 本文架構7 第二章 理論與分析方法8 2.1 下顎骨之構造8 2.2 有限元素法12 2.2.1 各方等向性材料應力-應變關係15 2.2.2 橫向等向性材料應力-應變關係16 2.2.3 主應力18 第三章 有限元素模型建立19 3.1 座標系統19 3.2 建立下顎骨之三維有限元素模型21 3.3 建立模型的流程23 3.3.1 下顎骨之電腦斷層掃描24 3.3.2 由ANSYS讀入IGES檔24 3.3.3 三維有限元素模型的建構26 3.3.4 下顎骨之材料性質29 3.3.5 下顎骨之負荷32 3.3.6 下顎骨之邊界條件37 第四章 結果與討論39 4.1 材料性質的定義對分析結果的影響39 4.2 肌力的作用對下顎骨受咬力時應力集中現象的影響42 4.3 下巴受點集中力作用下之應力分布49 第五章 結論51 參考文獻52

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