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研究生:林昆慶
研究生(外文):Kuen-ching Lin
論文名稱:以矩形板試體求取花崗岩石材I型破裂韌度之研究
論文名稱(外文):Determination of Mode I Fracture Toughness of Granite Using Double Torsion Method and Double Cantilever Beam Method
指導教授:王建力王建力引用關係
指導教授(外文):Chein-Lee Wang
學位類別:碩士
校院名稱:國立成功大學
系所名稱:資源工程學系碩博士班
學門:工程學門
學類:材料工程學類
論文種類:學術論文
論文出版年:2008
畢業學年度:96
語文別:中文
論文頁數:169
中文關鍵詞:雙扭試驗雙懸臂樑試驗裂紋擴展速度花崗岩
外文關鍵詞:double cantilever beam testdouble torsion testgranitecrack growth velocity
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  • 被引用被引用:4
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本研究針對花崗岩石材分別進行雙扭試驗及雙懸臂樑試驗求取I型破裂韌度。在選擇影響破裂韌度的因子方面,於雙扭試驗部份,改變試體幾何條件,加載速率、初始裂紋長度;雙懸臂樑方面,改變試體幾何條件、初始裂紋長度、溝槽條件。本研究並利用有限元素分析軟體ABAQUS,來驗証吾人建議之無溝槽雙懸臂樑試驗破裂韌度解析解及求解有溝槽試體的數值解。在試驗過程中使用改良式裂紋量測系統分別對上述試驗求取裂紋擴展速度。
研究結果顯示:(1).雙扭試驗的破裂韌度,在選定的幾何條件下,隨初始裂紋長度變化而變化,但試體尺寸及加載速率對破裂韌度值影響並沒有顯著的不同。(2).以楔形塊施加荷重之雙懸臂樑試驗破裂韌度值隨初始裂紋長度無顯著變化;不同試體尺寸的試驗結果顯示,較大的試體有較大的破裂韌度;在溝槽條件的影響下,較大的試體有較大的差距。(3).以ABAQUS軟體模擬以楔形塊施加荷重之無溝槽雙懸臂樑試驗,破裂韌度數值解與吾人建議的解析解結果比較後,誤差在-0.16%∼1.9%。(4).在裂紋擴展速度的結果中,雙扭試驗的試體較大時,其裂紋擴展速度試驗值與解析解值差距較大。另外,其試驗值與雙懸臂樑試驗結果相較之下大了1.83倍。
This study proposes double torsion(DT) test and double cantilever beam(DCB) test to determine the fracture toughness of granite plates. In DT test, the effects of specimen geometry, loading rate, and initial crack length are investigated. In DCB test, the effects of specimen geometry, initial crack length, and specimen with or without groove are investigated. A finite element software, ABAQUS, is carried out to obtain the numerical solution of fracture toughness of DCB specimen by wedge loading. The numerical results are compared with the analytical solution of ungroove specimen. Additionally, a KYOWA crack measurement system is modified to measure the crack growth velocity in DT test and DCB test.
The major findings are as following: (1) The fracture toughness of DT test varies with initial crack length in specimen geometry. (2) The fracture toughness of the bigger DCB specimen are greater than the one from small DCB specimen. (3) In DCB test, the discrepancy between the numerical solution and analytic solution is -0.16% ~ 1.9%. (4) The difference of crack growth velocity in big size DT specimen between experimental results and analytic solution is large. Besides, the crack growth velocity measured from DT test is 1.83 times the one from DCB test.
目 錄
摘要 I
Abstract II
誌謝 III
目錄 IV
表目錄 VII
圖目錄 X
符號表 XVI
第一章緒論 1
1-1 研究背景 1
1-2 研究動機與目的 1
1-3 研究方法與流程 2
第二章文獻回顧 5
2-1雙扭試驗 5
2-2雙懸臂樑試驗 13
第三章基本理論 18
3-1雙扭試驗 18
3-1-1破裂韌度解析解 19
3-1-2裂紋擴展速度 21
3-2無溝槽雙懸臂樑試驗 22
第四章試驗方法 25
4-1試體備製 26
4-1-1單軸抗壓試體 26
4-1-2 破裂力學試驗試體 26
4-2單軸抗壓試驗 29
4-2-1試驗設備 29
4-2-2試驗步驟 31
4-3雙扭試驗 31
4-3-1試驗設備 32
4-3-2試驗步驟 33
4-4雙懸臂樑試驗 37
4-4-1試驗設備 37
4-4-2試驗步驟 38
4-5裂紋量測系統 41
4-5-1試驗設備 42
4-5-2試驗步驟 43
4-5-3裂紋偵測點配置 44
第五章數值模擬 48
5-1有限元素法軟體-ABAQUS簡介 48
5-2模擬破裂力學問題相關設定 50
5-3案例分析I-未開溝槽之雙懸臂樑試驗模擬 55
5-3-1案例分析I結果 59
5-4案例分析II-開溝槽之雙懸臂樑試驗模擬 62
5-4-1破裂力學三維模擬設定之驗証 62
5-4-2以楔形塊施加荷重之有溝槽雙懸臂樑試驗數值解 70
第六章結果與討論 79
6-1花崗岩石材基本力學性質 79
6-2花崗岩石材I型破裂韌度 82
6-2-1雙扭試驗結果 82
6-2-2雙懸臂樑試驗結果 90
6-2-3破裂韌度結果探討 95
6-3裂紋擴展速度 101
6-3-1裂紋量測系統試驗結果 102
6-3-2雙扭試驗結果 104
6-3-3雙懸臂樑試驗結果 108
6-3-4裂紋擴展速度試驗值結果探討 110
第七章結論與建議 113
7-1結論 113
7-2建議 117
參考文獻 119
附錄A.雙扭試驗荷重位移圖及時間-應變指標圖 124
附錄B.雙懸臂樑試驗數值模擬相關結果 134
附錄C. DT、DCB試驗破裂韌度及裂紋擴展速度結果 152
自述 169
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