臺灣博碩士論文加值系統

相較於傳統貼附式應變規量測系統，數位影像相關法不僅具有全域量測之特性，更具有非接觸之實驗優勢，可同時應用於工程材料之拉伸及振動量測，並即時獲得分析結果。本研究係使用自行開發之數位影像相關法技術，並修改傳統之演算法，克服了大變形無法量測之問題。量測微型標準試片於拉伸實驗下之全場變形、應變及楊氏係數，並與超音波探傷儀及應變規之實驗數據相互定量驗證比較，也利用立體數位影像相關法，量測出材料真實應力-應變，同時進一步應用數位影像相關法之實驗優勢，剖析鋁材料於拉伸頸縮狀態下之局部應變及結構破壞。

In this paper. Fixing the DIC algorithm to overcome that DIC can’t track large deformation and using high-resolution image to measure displacement field and strain field of Standard specimen of ASTM B557M. The experiment result are consistent with strain gauge that express DIC has the ability to measure strain in tensile test. Combine DIC and MTS to get Stress-Strain curve, further get Youngs modulus of elasticity, Yielding Stress and Ultimate stress. Also Using Stereo DIC to measure True stress-strain of specimen.

摘要 i
Abstract ii
致謝 iii
目錄 iv
表目錄 vi
圖目錄 vii
第一章 前言 1
1.1 研究動機 1
1.2 文獻回顧 2
1.3 內容簡介 2
第二章 數位影像相關法及儀器介紹 3
2.1 二維數位影像相關法(DIC) 3
2.1.1 基本原理 3
2.1.2 區域搜尋數學模型及相關係數 3
2.1.3 極值搜尋法 6
2.1.4 速度及工程應變 7
2.1.5 平行運算 8
2.1.6 元件應變 8
2.2 立體數位影像相關法 8
2.3 程式運作流程 10
2.3.1 二維DIC程式流程 10
2.3.2 二維DIC更新子集合程式流程 10
2.3.3 立體DIC程式流程 10
2.4 實驗儀器介紹 11
2.4.1 應變規 11
2.4.2 高速攝影機 11
2.4.3 USB相機 11
2.4.4 雷測位移計 11
2.4.5 超音波探傷儀 12
第三章 更新子集合演算法 24
3.1 更新演算法簡介 24
3.2 演算法測試 24
3.2.1 Dog bone影像 24
3.2.2 拉伸試驗影像 25
3.3 結果討論 26
第四章 量測標準微型試片雙軸應變及蒲松比 39
4.1 試片及實驗架設 39
4.2 實驗結果 40
4.3 實驗應用 43
4.4 結果討論 44
第五章 Stereo DIC量測標準微型試片 85
5.1 實驗架設 85
5.2 實驗結果 86
5.3 結果討論 88
第六章 未來展望 104
參考文獻 105

[1]Zhao J, “Deformation measurement using digital image correlation by adaptively adjusting the parameters,” Optical Engineering 55,124104, 2016
[2]Caminero MA, Lopez-Pedrosa M, Pinna C, Soutis C, “Damage assessment of composite structures using digital image correlation,” Applied Composite Materials 21:91–106, 2013
[3]Genovese K, Cortese L, Rossi M, Amodio D, “A 360-deg digital image correlation system for materials testing,” Optics and Lasers in Engineering 82:127–134, 2016
[4]Passieux J-C, Bugarin F, David C, et al, “Multiscale displacement field measurement using digital image correlation,” Application to the Identification of Elastic Properties. Experiment Mechanics 55:121–137, 2014
[5]Pan B, Tian L, “Superfast robust digital image correlation analysis with parallel computing,” Optical Engineering 54:034106, 2015
[6]Xu X, Zhang Q, Su Y, et al, “high-accuracy, high-efficiency compensation method in two-dimensional digital image correlation,” Experiment Mechanics 57:831–846, 2017
[7]Liu X-Y, Tan Q-C, Xiong L, et al, “Performance of iterative gradient-based algorithms with different intensity change models in digital image correlation,” Optics and Laser Technology 44:1060–1067, 2012
[8]Lewis JP, “Fast normalized cross-correlation,” Vision Interface 10120–123, 1995.
[9]Briechle K, Hanebeck UD, “Template matching using fast normalized cross correlation,” In: Optical Pattern Recognition XII, 2001
[10]Chang C-Y, Ma C-C, “Increasing the computational efficient of digital cross correlation by a vectorization method,” Mech Syst Signal Process 92:293–314, 2017
[11]Bruck HA, McNeil SR, Sutton MA, Peters WH. “Digital image correlation using Newton–Raphson method of partial differential correction,” Experimental Mechanics, 29(3):261–7 1989.
[12]Chen J, Zhang X, Zhan N, Hu X. “Deformation measurement across crack using two-step extended digital image correlation method,” Optics and Lasers in Engineering, 48(11), 1126–31, 2010.
[13]Pan B, Xie HM, Guo ZQ, Hua T. “Full-field strain measurement using a twodimensional Savitzky–Golay digital differentiator in digital image correlation,” Optics and Lasers in Engineering, 46(3), 033601, 2007.
[14]Pan B, Asundi A, Xie HM, Gao JX, “Digital Image correlation using iterative least squares and pointwise least squares for displacement field and strain field measurements,” Optics and Lasers in Engineering, 47(7–8), 865–74, 2009.
[15]Pan B, “Reliability-guided digital image correlation for image deformation measurement,” Applied Optics, 48(28), 1535–42, 2009.
[16]Pan B, Wang ZY, Lu ZX, “Genuine full-field deformation measurement of an object with complex shape using reliability-guided digital image correlation,” Opt Express 18(2), 1011–23, 2010
[17]Zhou K, Wu ZY. “Strain gauge placement optimization for structural performance assessment,” Eng Struct 141:184–197, 2017
[18]Bing Pan, Kai Li, “A fast digital image correlation method for deformation measurement,” Optics and Lasers in Engineering, vol. 49, 841–847, 2011
[19]Feipeng Zhu, Pengxiang Bai, Jingbin Zhang , Dong Lei , Xiaoyuan He, “Measurement of true stress–strain curves and evolution of plastic zone of low carbon steel under uniaxial tension using digital image correlation,” Optics and Lasers in Engineering, vol. 65 81-88 2015.
[20]Georgios D, Evangelidis, Emmanouil Z, Psarakis, “Parametric Image Alignment Using Enhanced Correlation Coefficient Maximization,” IEEE Pattern analysis and machine intelligence trading, vol.30, NO. 10, 2008.
[21]Majid R, Ayatollahi, Mostafa Moazzami, “Digital image correlation method for calculating coefficients of Williamsexpansion in compact tension specimen,” Optics and Lasers in Engineering, vol. 90, 26-33, 2017
[22]陳亮至，馬劍清，「建構立體數位影像相關法之基礎理論並應用於結構靜態與動態三維變形精密量測」，國立臺灣大學機械工程研究所碩士論文，2016年7月
[23]Feipeng Zhu, Pengxiang Bai, Jingbin Zhang, Dong Lei, Xiaoyuan He, “Measurement of true stress–strain curves and evolution of plastic zone of low carbon steel under uniaxial tension using digital image correlation”, Optics and Lasers in Engineering, vol. 65, pp. 81-88, 2015.
[24]Xinxing Shao, Xiangjun Dai, Zhenning Chen, Yuntong Dai, Shuai Dong and Xiaoyuan He, “Calibration of stereo-digital image correlation for deformation measurement of large engineering components,” Measurement Science and Technology vol. 27,no. 12 2016.
[25]B Pan, “Recent progress in digital image correlation,” Experiment Mechanics, vol. 51, no.7 pp. 1223-1235, 2011.
[26]Yue Gao, Teng Cheng, Yong Su, Xiaohai Xu, Yong Zhang, Qingchuan Zhang, “High-efficiency and high-accuracy digital image correlation for three-dimensional measurement,” Optics and Lasers in Engineering, vol. 65, pp. 73-80, 2015.
[27]Junrui Lia, Xin Xieab, Guobiao Yanga, Boyang Zhanga, Thorsten Siebertc, Lianxiang Yang, “Whole-field thickness strain measurement using multiple camera digital image correlation system,” Optics and Lasers in Engineering, vol.90, pp.19-25, 2017.
[28]Zhongya Zhang, Bing Pan, Michel Grédiac, Weidong Song, “Accuracy-enhanced constitutive parameter identification using virtual fields method and special stereo-digital image correlation,” Optics and Lasers in Engineering, pp. 55-64, 2018.
[29]Bing Pan, Wentao Shi, Gilles Lubineau, “Effect of camera temperature variations on stereo-digital image correlation measurements,” Optics and Lasers in Engineering, vol. 54, pp. 10089-10095, 2015.
[30]Jinlong Chen, Nan Zhan, Xiaochuan Zhang, Jixiao Wang, “Improved extended digital image correlation for crack tip deformation measurement,” Optics and Lasers in Engineering, vol. 65, pp. 103-109, 2015.
[31]S.A. Stanier, J. Blaber, W.A. Take, D.J. White, “Improved image-based deformation measurement for geotechnical applications,” Canadian Geotechnical Journal, vol. 55, no. 5, 2016.
[32]Satoru YONEYAMA, Akikazu KITAGAWA, Koji KITAMURA, Hisao KIKUTA, “In-Plane Displacement Measurement Using Digital Image Correlation with Lens Distortion Correlation,” JSME International Journal Vol. 49, no. 3, 2006.
[33]Z. Hu, H. Xie, J. Lu, T. Hua and J. Zhu, “Studt of the performance of different subpixel image correlation method in 3D digital image correlation,” Applied Optics, vol. 49, no. 21, pp. 4044-4051, 2010.