| 研究生: |
莊翌君 Chuang, Yi-Jiun |
|---|---|
| 論文名稱: |
以剪切盒試驗量測石膏ΙΙ型破裂韌度之研究 The measurement of the Mode ΙΙ Fracture Toughness of Gypsum Using Shear-box Test |
| 指導教授: |
王建力
Wang, Chein-Lee |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 資源工程學系 Department of Resources Engineering |
| 論文出版年: | 2008 |
| 畢業學年度: | 96 |
| 語文別: | 中文 |
| 論文頁數: | 110 |
| 中文關鍵詞: | ΙΙ型破裂韌度 、剪切盒 |
| 外文關鍵詞: | Mode II fracture toughness, shear-box |
| 相關次數: | 點閱:62 下載:1 |
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進行ΙΙ型破裂韌度試驗時,常遭遇到裂紋尖端同時存在拉應力與剪應力的情形,而通常脆性材料的抗剪強度大於抗拉強度,導致Ι 型破壞先於ΙΙ型破壞發生,而難以實現ΙΙ型破壞。也因試體破壞受拉應力影響,裂紋往往偏離原裂紋平面擴展。為了獲得ΙΙ型裂紋的剪切斷裂,必須有效的抑制裂紋尖端拉應力,產生有利於ΙΙ型破壞的應力條件。因此,本研究利用剪切盒試驗於與裂紋面相垂直的方向施加一定大小的壓應力,以壓剪聯合,實現ΙΙ型破壞的非純剪加載。並將試驗所得之破壞載重代入本研究所建立之數值模型,針對不同形式數值模型與裂紋長度、試體厚度、ΙΙ型破裂韌度值之影響。
本研究發現:裂紋長度增加,將會使破壞剪力降低。數值分析結果顯示,當裂紋長度與試體寬度比( )超過0.6後,裂紋的長度對於ΙΙ型破裂韌度值較無影響。試體厚度對於ΙΙ型破裂韌度值亦無明顯之影響。利用不同邊界條件之數值模型,可產生差異極大的結果,故本研究認為進行數值分析應與實際試驗狀況相同的案例二才能得到較佳之結果。
關鍵字:剪切盒,ΙΙ型破裂韌度
It is observed that in most Mode II fracture toughness testings, it always exist shearing stress and tensile stress at the same time at the notch tips. Because the shear strength of brittle materials is always known to be larger than its tensile strength, this reults in Mode I fracture prior to Mode II fracture and it is difficult to obtain the Mode II fracture toughness. In order to obtain a pure Mode II fracture, we must apply a compressive stress to restrain tensile stress at the notch tips. This study proposes a shear-box test to measure the Mode II fracture toughness of gypsum. The size effect for double-notched specimens has been investigated for different specimen thicknesses and notch lengths. This study also utilizes the finite element program to evaluate the corresponding stress intensity factors.
The study finds that the shear strength decreases when notch length increases. When notch length is equal to or larger than 0.6, Mode II fracture toughness becomes stationary. This study also finds that the variety of the thickness of the specimens has no influence on the Mode II fracture toughness. Three different scenarios of testing configurations are simulated by the finite element program ANSYS. The numerical results show that the scenario considering different material properties is the best fit for the realistic condition.
Keyword:Mode II fracture toughness, shear-box.
參考文獻
1. B. Barr & M. Derradj, (1990)”Numerical Study of a Shear (Mode ΙΙ) Type Test Specimen Geometry”,Engineering Fracture Mechanics , 35 , pp.171-180.
2. B. S. Kim & A. W. Eberhardt, (1997)”First and Second Order Stress Extrapolation For Mode Ι and Mode ΙΙ Edge Cracks”, Engineering Fracture Mechanics , 57 , pp.715-720.
3. B. Stimpson, (1970)”Modelling Materials For Engineering Rock Mechanics”, Int. Journ of Rock Mechanics and Mining Sciences, 7 , pp.77-121.
4. D. B. Chisholm & D. L. Jones, (1977)”A Analytical and Experimental Stress Analysis of a Practical Mode ΙΙ Fracture Test Specimen”,Experimental Mechanics , 17 , pp.7-13.
5. D. E. Deere, (1967)”Geological Considerations”, Rock Mechanics in Engineering Practice, pp.1-20.
6. D. W. Hobbs, (1966)”Scale Model Studies of Strata Movement around Mine Roadways”, Int. Journ of Rock Mechanics and Mining Sciences and Geomechanics Abstracts , 3 , pp. 101- 127.
7. E. Ballatore & A. Carpinteri & G. Ferrara, (1990)”Mixed Mode Fracture Energy of Concrete”, Engineering Fracture Mechanics , 35 , pp.145-157.
8. E. T. Brown, (1981)”Rock Characterization Testing & Monitoring – ISRM Suggested Methods”, Pergamon Press.
9. H. A. Richard, (1981)”A New Compact Shear Specimen”, Int. Journ of Fracture , 17 , R105- R107.
10. H. Moon & V. J. Hucka, (1986)”Investigation of Equivalient Materials for Physical Modeling of Utah Coal Seams”, Rock Mechanics , 26 .
11. J. Davies & K. W. So, (1986)”Further Development of Fracture Test in Mode ΙΙ”, Int. Journ of Fracture , 31 , R19-R21.
12. J. Davies & T. G. Morgan & A. W. Yim, (1985)”The Finite Element Analysis of a Punch-Through Shear Specimen In Mode ΙΙ”, Int. Journ of Fracture , 28 , R3- R10.
13. L. B. Sills & M. Arcan & H. Gabay, (1984)”A Mode ΙΙ Fracture Specimen – Finite Element Analysis”, Engineering Fracture Mechanics , 19 , pp.739-750.
14.Leslie Banks-Sills & M. Arcan, (1983)”Toward A Pure Shear Specimen For Determination”, Int. Journ of Fracture , 22 , R9- R14.
15. Minh Phong Luong, (1990)”Tensile and Shear Strengths of Concrete and Rock”, Engineering Fracture Mechanics , 35 , pp.127-134.
16. N. R. Barton, (1970)”A Low Strength Material for Simulation of the Mechanical Properties of Intact Rock in Rock Mechanics Models”, Proc. of the 2nd Cong. Of ISRM, Beograd, pp.3-15.
17. Qiuhua Rao & Zongqi & O. Stephansson & Chunlin Li & B. Stillborg, (2003)”Shear Fracture(Mode ΙΙ)of Brittle Rock”, Int. Journ of Rock Mechanics and Mining Sciences, 40 , pp.355-375.
18. S. A. Meguid & S. X. Gong & P. E. Gaultier, (1991)”Main Crack-Microcrack Interaction Under Mode Ι , Mode ΙΙ and Mode ΙΙΙ Loadings: Shielding and Amplification”, Int. Journ of Mechanics Sciences , 33 , pp.351-359.
20. S. E. Swartz & N. M.Taha, (1990)”Mixed Mode Crack Propagation and Fracture in Concrete”, Engineering Fracture Mechanics , 35 , pp.137-144.
21. S. Xu & H. W. Reinhardt & M. Gappoev, (1996)”Mode ΙΙ Fracture Testing Method for Highly Orthotropic Materials Like Wood”, Int. Journ of Fracture , 75 , pp.185- 214.
22. Solveig Melin, (1991)”Which is the Most Unfavourable Crack Orientation”, Int. Journ of Fracture , 51 , pp.255-263.
23. Zdenek P Bazant, (1986)”Mechanics of Distributed Cracking”, Applied Mechanics Reviews , 39 , pp.675-705.
24. 王桂堯、孫宗頎、徐紀成(1996),「純剪載荷作用下的岩石斷裂」,中國有色金屬學報,第6卷第1期,17-21頁。
25. 王桂堯、孫宗頎、黎振茲(1994),「岩石ΙΙ型裂紋擴展的一般規律」,中南礦冶學院學報,第25卷第4期,450-454頁。
26. 林政億(2005),「以破壞力學分析水力破裂法之研究」,國立成功大學資源工程學研究所碩士論文。
27. 林培元(1991),「石膏材料規則節理面之剪力強度特性研究」,國立成功大學土木工程研究所碩士論文。
28. 林鴻州(2001),「模擬岩石裂面形態及機制初探」,國立台灣大學土木工程學研究所碩士論文。
29. 施國欽(2004),「岩石力學 :大地工程學(四) 」,文笙經銷。
30. 洪啟德(1989),「岩石之模擬材料與其直接剪力破壞模式之研究」,國立台灣大學土木工程學研究所碩士論文。
31. 孫宗頎、饒秋貨、王桂堯(2002),「剪切盒斷裂韌度( )確定的研究」,岩石力學與工程學報,第21卷第2期,199-203頁。
32. 郝圣旺、李慧劍、黎振茲、周洪彬(2002),「緊湊四點剪切斷裂的數值研究」,燕山大學學報,第26卷第1期,67-70頁。
33. 郝圣旺、李慧劍、黎振茲、周洪彬、趙慶新(2003),「緊湊四點剪切ΙΙ型斷裂實驗研究與數值分析」,工程力學,第20卷第2期,138-141頁。
34. 張兆豐(2005),「多功能子母床連結機構之研究」,國立成功大學工程科學研究所碩士論文。
35. 陳文華、丁鯤(1982),「破裂延伸判據之探討」,工業技術,第93期,9-15頁。
36. 鄒岳展(2002),「岩石節理面幾何變化對剪力強度之影響」,國立台灣大學土木工程學研究所碩士論文。
37. 鄭富書、林銘郎(1994),「岩石破壞歷史的判斷利器-裂形學」,地工技術雜誌,第46期,67-76頁。
38. 應傳智(1995),「人工軟弱岩石之研究」,國立台灣大學土木工程學研究所碩士論文。
39. 饒瑞年(2000),「異方性導電膜應用於COG製程之分析」,國立中央大學機械工程研究所碩士論文。
40. 饒秋貨、孫宗頎(2001),「剪切盒加載下岩石剪切(ΙΙ型)斷裂韌度 的測定」,中南工業大學學報,第32卷第6期,563-567頁。