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系統識別號 U0002-1807200623474200
中文論文名稱 含界面裂紋之雙異質壓電材料暫態解析
英文論文名稱 Transient Analysis of an Interface Crack between Two Dissimilar Piezoelectric Materials
校院名稱 淡江大學
系所名稱(中) 航空太空工程學系碩士班
系所名稱(英) Department of Aerospace Engineering
學年度 94
學期 2
出版年 95
研究生中文姓名 黃俊元
研究生英文姓名 Chun-Yuan Huang
學號 693370685
學位類別 碩士
語文別 中文
口試日期 2006-06-28
論文頁數 117頁
口試委員 指導教授-應宜雄
委員-馬劍清
委員-劉昭華
委員-應宜雄
中文關鍵字 壓電材料  界面裂紋  應力強度因子  動力破壞 
英文關鍵字 piezoelectric material  interface crack  stress intensity factor  dynamic fracture 
學科別分類 學科別應用科學航空太空
中文摘要 本文研究內含電極邊界條件之界面裂紋的壓電複合材料動力破壞問題,解析一含半無限長界面裂紋之六角雙異層壓電材料複合層板,於裂紋面上施加反平面均佈動力載荷之暫態效應。本文使用積分轉換法與Wiener-Hopf技巧推導壓電材料於拉普拉氏轉換域中之解,接著使用Cagniard-de Hoop方法來作拉普拉斯逆轉換得到時域中的全場暫態解析解,並求出應力強度因子與電位移強度因子等解析解。文中並對表面波存在的條件做詳細之研究,最後,將針對應力與電位移之暫態解做數值計算與討論。
英文摘要 In this study, the transient response of a semi-infinite interface crack between two dissimilar piezoelectric materials with the electrode boundary condition is investigated. The interface crack is subjected to dynamic anti-plane uniform loading on the crack faces. The problem is solved by the application of integral transform methods and the Wiener-Hopf technique. Exact analytical transient full-field solutions for displacements, shear stresses, electric potentials, electric displacements, and intensity factors are obtained by using the Cagniard-de Hoop method of Laplace inversion. The existence condition of a propagating surface wave along the interface is studied in detail. Finally, numerical results are evaluated and discussed in detail.
論文目次 目錄
目錄 I
圖表目錄 III

第一章 緒論 1
1.1研究動機 1
1.3內容簡介 6
第二章 理論基礎 7
2.1 線性壓電控制與本構方程式 7
2.2 拉普拉斯轉換與Cagniard-de Hoop method 15
第三章 界面裂紋受反平面動力均佈載荷之暫態解析 16
3.1 問題描述 16
3.2 理論解析 17
3.3 之有無實根判斷以及有實根拆解 24
3.4 函數之無根拆解 31
3.5 函數拆解 33
3.6存在MT表面波之理論解析 37
3.7無MT表面波之理論解析 43
3.8存在MT表面波之時域解 49
3.9 無MT表面波之時域解 61
第四章 數值計算與討論 70
第五章 成果與討論 75
5.1本文結論 75
5.2 本文成果 75
5.3 尚待研究方向 76
參考文獻 78

圖表目錄

圖3-1界面裂紋之問題描述 84
圖3-2 之 平面圖 85
圖3-3 有根形式之 平面圖 86
圖3-4 無根形式之 平面圖 87
圖3-5 有根形式之 積分路徑 88
圖3-6無根形式之 積分路徑 89
圖3-7 積分路徑圖 90
圖3-8 積分路徑圖 91
圖3-9 逆轉換路徑圖有剪力頭前波 92
圖3-10 逆轉換路徑圖無剪力頭前波 93
表4.1壓電材料常數表 94
圖4-1a 之剪應力暫態圖 95
圖4-1b 之剪應力暫態圖 96
圖4-2a 之剪應力暫態圖 97
圖4-2b 之剪應力暫態圖 98
圖4-3 之雙異質壓電材料裂紋面施加均佈載荷波前圖 99
圖4-4 之不同壓電材料剪應力暫態圖 100
圖4-5 之不同壓電材料剪應力暫態圖 101
圖4-6 之不同壓電材料剪應力暫態圖 102
圖4-7 之不同壓電材料剪應力暫態圖 103
圖4-8 之不同壓電材料剪應力暫態圖 104
圖4-9 之不同壓電材料剪應力暫態圖 105
圖4-10a 之上半平面電位移暫態圖 106
圖4-10b 之上半平面電位移暫態圖 107
圖4-11a 之下半平面電位移暫態圖 108
圖4-11b 之下半平面電位移暫態圖 109
圖4-12 之不同壓電材料電位移暫態圖 110
圖4-13 之不同壓電材料電位移暫態圖 111
圖4-14 之不同壓電材料電位移暫態圖 112
圖4-15 之不同壓電材料電位移暫態圖 113
圖4-16 之不同壓電材料電位移暫態圖 114
圖4-17 之不同壓電材料電位移暫態圖 115
圖4-18搭配虛擬材料之有根情況剪應力暫態圖 116
圖4-19搭配虛擬材料之有根情況剪應力暫態圖 117




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蔡忠翰 (2005),含界層裂紋之彈壓電複合材料之動力破壞分析,淡江大學航空太空工程學所碩士論文。



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