簡易檢索 / 詳目顯示

研究生: 陳天賜
Chen, Tian-Ci
論文名稱: 應用數位影像相關法於微試件之測試
Use of Digital-Image-Correlation Method to test the Micro Sample
指導教授: 陳元方
Chen, Yuan-Fang
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: 78
中文關鍵詞: 拉伸測試數位影像相關法
外文關鍵詞: Tension test, digital image corrlation
相關次數: 點閱:88下載:6
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報
  • 本文主要內容為利用單軸拉伸機構對微小尺寸下之材料進行拉伸測試。再藉由數位影像相關法(Digital Image Correlation Method)所建立的一套影像分析程式與影像擷取系統量測微小試件之變形量,當我們有其變形量與應力值便可以求得微小尺寸下材料的機械性質,如楊氏係數(Young’s Modulus)、蒲松比(Poisson Ratio)。在本次實驗中,待測的微小試件材料有紅銅(Red Brass)與單晶矽(Single-crystal Silicon)薄膜。紅銅材料的尺寸 為 4000*500*120、2000*250*120 、1000*125*120 等三種,矽薄膜材料的尺寸為 400*50*4.5,其單位為微米(μm)。由於微小尺寸下材料的機械性質不能由大尺寸依等比例計算而得,所以經由微小試件的直接測試,以了解其受力下之變形行為即成為一必須的步驟。經由本次實驗的實際測試,驗證了本系統的可行性,並對於數位影像相關法的應用限制、誤差來源及誤差範圍等,亦有所討論。

    The main content about this paper is to measure the elastic tensile property (Young’s modulus) of the micro samples by use the single-axial tension mechanism. We use digital-image-correlation method to contribute a package of a soft analyzing program collocating CCD to measure the deformation of the micro samples surface by a photomicroscope. When we have the deformation and stress, we can calculate the tensile property of material, example the Young’s modulus、Poisson Ratio. The micro sample’s material are red brass and single-crystal silicon, the red brass’s size are 4000*500*120、2000*250*120 、1000*125*120 and the single-crystal silicon’s size is 400*50*4.5,the unit is micrometer .The material properties of micro samples can’t be figured out directly by the results of large-scale sizes. So understanding the deforming behaviors by directly testing the micro samples becomes the absolute step. By the measuring results of the experiments we prove the feasibility of our system we set. And we provide some discussions about the limit of the application, the source of error and the error range of digital-image-correlation method.

    摘要..... ...............................I Abstract...............................II 誌 謝.................................III 目錄...................................IV 圖目錄.................................VI 表目錄...............................VIII 符號說明...............................IX 第一章 緒論.............................1 1.1 研究背景及目的 ......................1 1.2 文獻回顧............................3 1.3 本文架構............................6 第二章 數位影像相關法原理...............7 2.1 物體在變形前後之相關位置............7 2.2 數位影像間的相關性..................9 2.3 尋找六個參數 的技巧................13 2.3.1 Coarse–Fine Method..............13 2.3.2 Newton-Raphson Method ...........15 2.4 影像內插法.........................21 2.4.1 雙線性內插法 .....................21 2.4.2 雙立方內插法 .....................22 2.4.3 雙立方樣條內插...................23 2.5 曲面密合法.........................25 第三章 實驗裝置與測試結果(紅銅)........28 3.1 實驗裝置...........................31 3.1.1 影像擷取系統.....................31 3.1.2 單軸拉伸機構 .....................34 3.2 誤差分析...........................39 3.2.1 位移測試.........................39 3.2.2 CCD Camera 感光造成的誤差........41 3.3 實驗結果...........................45 3.3.1 拉伸實驗結果 .....................45 3.3.2 實驗結果比對 .....................51 3.3.3 結果討論.........................53 第四章 實驗裝置與測試結果(矽薄膜)......54 4.1 實驗裝置...........................54 4.1.1單軸拉伸機構......................56 4.2 誤差分析...........................66 4.2.1 位移測試.........................66 4.3 實驗結果...........................69 第五章 結論與建議......................70 5.1 結論...............................70 5.2 建議...............................73 參考文獻...............................74

    [1] D.B. Carl, “ Bicubic Spline Interpolation ”, Journal of Mathematics and Physics, Vol. 41, pp. 212-218, 1962.

    [2] W.H. Peters and W.F. Ranson, “ Digital Imaging Techniques in Experimental Stress Analysis ”, Opt. Eng., Vol. 21, pp. 427-432, 1982.

    [3] M.A. Sutton, W.J. Wolters, W.H. Peters, W.F. Ranson, and S.R. McNeil,“ Determination of Displacements Using an Improved Digital Correlation Method ”, Image and Vision Computing, Vol. 1, pp. 133-139, 1983.

    [4] W.H. Peters, W.F. Ranson, M.A. Sutton, T.C. Chu and J. Anderson,
    “ Applications of Digital Correlation Methods to Rigid Body Mechanics ”, Opt. Eng., Vol. 22, pp. 738-742, 1983.

    [5] W.H. Peters, Z.H. He, M.A. Sutton and W.F. Ranson, “ Two-Dimensional Fluid Velocity Measurements by Use of Digital Speckle Correlation Techniques ”, Exp. Mech., Vol. 24, pp. 117-121, 1984.

    [6] T.C.Chu, W.F.Ranson, M.A.Sutton and W.H. Peters, “ Applications of Digital Image Correlation Techniques to Experimental Mechanics ”, Exp. Mech., Vol. 25, pp. 232-244, 1985.

    [7] M.A. Sutton, M. Cheng, W.H. Peters, Y.J. Chao, and S.R. McNeil, “ Application of an Optimized Digital Image Correlation Method to Planar Deformation Analysis ”, Image and Vision Computing, Vol.4, pp. 143-150, 1986.

    [8] W. Wu, W.H. Peters and M. Hammer, “ Basic Mechanical Properties of Retina In Simple Elongation ”, Trans. ASME, J. Biomech. Eng., Vol. 109, pp. 65-67, 1987.

    [9] M.A. Sutton, S.R. McNeil, J. Jang and M. Babai, “ Effect of Subpixel Image Restoration on Digital Correlation error Estimates ”, Opt. Eng., Vol. 27, pp. 870-877, 1988.

    [10] H.A. Bruck, S.R. McNeil, M.A. Sutton and W.H. Peters, “ Digital Image Correlation Using Newton-Raphson Method of Partial Differential Correction ”, Exp. Mech., Vol. 29, pp. 261-267, 1989.

    [11] G. Han, M.A. Sutton and Y.J. Chao, “ Study of Stationary Crack-Tip Deformation Fields in Thin Sheets by Computer Vision ”, Exp. Mech., Vol. 34, pp. 125-140, 1994.

    [12] D.S. Dawicke and M.A. Sutton, “ CTOA and Crack-Tunneling Measurements in Thin Sheet 2024-T3 Aluminum Alloy ”, Exp. Mech., Vol. 34, pp. 357-368, 1994.

    [13] B.H Friemel, L.N. Bohs and G.E. Trahey, “ Relative Performance of Two-Dimensional Speckle-Tracking Techniques: Normalized Correlation, Non-Normalized Correlation and Sum-Absolute- Difference ”, Ultrasonic Symposium, 1995 Proceedings., IEEE, Vol. 2, pp. 1481-1484, 1995.

    [14] G. Han, M.A. Sutton and Y.J. Chao, “A Study of Stable Crack Growth in Thin SEC Specimens of 304 Stainless Steel by Computer Vision ”, Eng. Fract. Mech., Vol. 52, pp. 525-555, 1995.

    [15] S. Choi and S.P. Shah, “ Measurement of Deformations on Concrete Subjected to Compression Using Image Correlation ”, Exp. Mech., Vol. 37, pp. 307-313, 1997.

    [16] Z. Sun, J.S. Lyons and S.R. McNeill, “ Measuring Microscopic Deformations with Digital Image Correlation”, Optics and Lasers in Engineering, Vol. 27, pp. 409-428, 1997.

    [17] G. Vendroux and W.G. Knauss, “ Submicron Deformation Field Measurements: Part 1. Developing a Digital Scanning Tunneling Microscope ”, Exp. Mech., Vol. 38, pp. 18-23, 1998.

    [18] G. Vendroux and W.G. Knauss, “ Submicron Deformation Field Measurements: Part 2. Improved Digital Image Correlation ”, Exp. Mech., Vol. 38, pp. 85-92, 1998.

    [19] G. Vendroux, N. Schmidt and W.G. Knauss, “ Submicron Deformation Field Measurements: Part 3. Demonstration of Deformation Determinations ”, Exp. Mech., Vol. 38, pp. 154-160, 1998.

    [20] W.N. Sharpe, K.T. Turner and R.L. Edwards, “ Tensile Testing of Polysilicon ”, Exp. Mech., Vol. 39, pp. 162-170, 1999.

    [21] H. Lu and P.D. Cary, “ Deformation Measurements by Digital Image Correlation: Implementation of Second-order Displacement Gradient ”, Exp. Mech., Vol. 40, pp. 393-400, 2000.

    [22] S. Chang, J. Warren and F.P. Chiang, “ Mechanical Testing of EPON SU-8 with SIEM ”, Proceedings of the Micro scale Systems: Mechanics and Measurements Symposium, pp. 46-49, June 8, 2000.

    [23] loannis Chasiotis and Wolfgang G. Knauss “ Instrumentation Requirements in Mechanical Testing “, Proceedings of the Micro scale Systems: Mechanics and Measurements Symposium, pp. 56-61, June 8, 2000.

    [24] William N. Sharpe,Jr. and Kamili Jackson “ Tensile Testing of MEMS Materials ”, Proceedings of the Micro scale Systems: Mechanics and Measurements Symposium, pp. ix-xiv, June 8, 2000.

    [25] W.G. Knauss and I. Chasiotis, “ A New Micro tensile Tester
    for the Study of MEMS Materials with the Aid of Atomic Force Microscopy ”, Exp. Mech., Vol. 42, pp. 51-57, 2002.

    [26] 李國誌, “ 應用數位影像關係法於微試件變形之量測 ”, 國立成功大學機械工程學系碩士論文, 2002.

    下載圖示 校內:2006-08-07公開
    校外:2006-08-07公開
    QR CODE