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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 22 — Aug. 1, 2007
  • pp: 5083–5096

Measurement of transient deformations using digital image correlation method and high-speed photography: application to dynamic fracture

Madhu S. Kirugulige, Hareesh V. Tippur, and Thomas S. Denney  »View Author Affiliations

Applied Optics, Vol. 46, Issue 22, pp. 5083-5096 (2007)

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The digital image correlation method is extended to the study of transient deformations such as the one associated with a rapid growth of cracks in materials. A newly introduced rotating mirror type, multichannel digital high-speed camera is used in the investigation. Details of calibrating the imaging system are first described, and the methodology to estimate and correct inherent misalignments in the optical channels are outlined. A series of benchmark experiments are used to determined the accuracy of the measured displacements. A 2%–6% pixel accuracy in displacement measurements is achieved. Subsequently, the method is used to study crack growth in edge cracked beams subjected to impact loading. Decorated speckle patterns in the crack tip vicinity at rates of 225,000 frames per second are registered. Two sets of images are recorded, one before the impact and another after the impact. Using the image correlation algorithms developed for this work, the entire crack tip deformation history, from the time of impact to complete fracture, is mapped. The crack opening displacements are then analyzed to obtain the history of failure characterization parameter, namely, the dynamic stress intensity factor. The measurements are independently verified successfully by a complementary numerical analysis of the problem.

© 2007 Optical Society of America

OCIS Codes
(070.4560) Fourier optics and signal processing : Data processing by optical means
(100.2000) Image processing : Digital image processing
(120.0280) Instrumentation, measurement, and metrology : Remote sensing and sensors
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.6150) Instrumentation, measurement, and metrology : Speckle imaging
(350.4600) Other areas of optics : Optical engineering

ToC Category:
Image Processing

Original Manuscript: February 5, 2007
Manuscript Accepted: April 13, 2007
Published: July 9, 2007

Madhu S. Kirugulige, Hareesh V. Tippur, and Thomas S. Denney, "Measurement of transient deformations using digital image correlation method and high-speed photography: application to dynamic fracture," Appl. Opt. 46, 5083-5096 (2007)

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  1. J. G. A. de Graaf, "Investigation of brittle fracture in steel by means of ultra high speed photography," Appl. Opt. 3(11), 1223-1229 (1964). [CrossRef]
  2. J. W. Dally, "Dynamic photo-elastic studies of fracture," Exp. Mech. 19(10), 349-361 (1979). [CrossRef]
  3. V. Parameswaran and A. Shukla, "Dynamic fracture of a functionally gradient material having discrete property variation," J. Mater. Sci. 33, 3303-3311 (1998). [CrossRef]
  4. H. V. Tippur, "Coherent gradient gensing: a Fourier optics analysis and applications to fracture," Appl. Opt. 31(22), 4429-4439 (1992). [CrossRef]
  5. H. V. Tippur, S. Krishnaswamy, and A. J. Rosakis, "A coherent gradient sensor for crack tip measurements: Analysis and experimental results," Int. J. Fract. 48, 193-204 (1991). [CrossRef]
  6. M. S. Kirugulige, R. Kitey, and H. V. Tippur, "Dynamic fracture behavior of model sandwich structures with functionally graded core; a feasibility study," Compos. Sci. Technol. 65, 1052-1068 (2004). [CrossRef]
  7. M. S. Kirugulige and H. V. Tippur, "Mixed mode dynamic crack growth in functionally graded glass filled epoxy," Exp. Mech. 46, 269-281 (2006). [CrossRef]
  8. Z. K. Guo and A. S. Kobayashi, "Dynamic mixed mode fracture of concrete," Int. J. Solids Struct. 32(17), 2591-2607 (1995). [CrossRef]
  9. E. B. Flynn, L. C. Bassman, T. P. Smith, Z. Lalji, L. H. Fullerton, T. C. Leung, S. R. Greefield, and A. C. Koskelo, "Three-wavelength ESPI with the Fourier transform method for simulataneous measurement of microstructure scale deformations in three dimensions," Appl. Opt. 45(14), 3218-3225 (2006). [CrossRef] [PubMed]
  10. T. Fricke-Begemann, "Three dimensional deformation field measurement with digital speckle correlation," Appl. Opt. 42(34), 6783-6795 (2003). [CrossRef] [PubMed]
  11. R. Feiel and P. Wilksch, "High resolution laser speckle correlation for displacement and strain measurement," Appl. Opt. 39(1), 54-60 (2000). [CrossRef]
  12. A. J. Moore, D. P. Hand, J. S. Barton, and J. D. C. Jones, "Transient deformation measurement with electronic speckle pattern interferometry and a high speed camera," Appl. Opt. 38(7), 1159-1162 (1999). [CrossRef]
  13. G. Pedrini and H. J. Tiziani, "Double pulse electronic speckle interferometry for vibration analysis," Appl. Opt. 33(34), 7857-7863 (1994). [CrossRef] [PubMed]
  14. D. E. Duffy, "Moiré gauging of in-plane displacement using double aperture imaging," Appl. Opt. 11(8), 1778-1781 (1972). [CrossRef] [PubMed]
  15. R. S. Sirohi, J. Burke, H. Helmers, and K. D. Hinsch, "Spatial phase shifting or pure in-plane displacement and displacement-derivative measurements in ESPI," Appl. Opt. 36(23), 5787-5791 (1997). [CrossRef] [PubMed]
  16. Y. J. Chao, P. F. Luo, and J. F. Kalthoff, "An experimental study of the deformation fields around a propagating crack tip," Exp. Mech. 38(2), 79-85 (1998). [CrossRef]
  17. Proceedings of the 2006 SEM Annual Conference and Exposition on Experimental and Applied Mechanics, cd-rom, June 4-7, 2006 (Saint Louis, Missouri). [PubMed]
  18. Proceedings of the International Society for Optical Engineering, cd-rom, Vols. 5580 and 6302. [PubMed]
  19. D. Zhang, C. D. Eggleton, and D. D. Arola, "Evaluating the mechanical behavior of arterial tissue using digital image correlation," Exp. Mech. 42(4), 409-416 (2002). [CrossRef]
  20. C. C. B. Wang, J. M. Deng, G. A. Ateshian, and C. T. Hung, "An automated approach for direct measurement of two-dimensional strain distributions within articular cartilage under unconfined compression," J. Biomed. Eng. 24, 557-567 (2002).
  21. E. B. Li, A. K. Tieu, and W. Y. D. Yuen, "Application of digital image correlation technique to dynamic measurement of the velocity filed in the deformation zone in cold rolling," Opt. Lasers Eng. 39, 479-488 (2003). [CrossRef]
  22. J. N. Perie, S. Calloch, C. Cluszel, and F. Hild, "Analysis of multiaxial test on a C/C composite by using digital image correlation and a damage model," Exp. Mech. 42(3), 318-328 (2002). [CrossRef]
  23. W. H. Peters and W. F. Ranson, "Digital image techniques in experimental stress analysis," Opt. Eng. (Bellingham) 21, 427-431 (1982).
  24. M. A. Sutton, W. J. Wolters, W. H. Peters, W. F. Ranson, and S. R. McNeil, "Determination of displacements using an improved digital image correlation method," Image Vis. Comput. 1(3), 133-139 (1983). [CrossRef]
  25. H. A. Bruck, S. R. McNeill, M. A. Sutton, and W. H. Peters, "Digital image correlation using Newton-Raphson method of partial differential correction," Exp. Mech. 29, 261-267 (1989). [CrossRef]
  26. D. J. Chen, F. P. Chiang, Y. S. Tan, and H. S. Don, "Digital speckle-displacement measurement using a complex spectrum method," Appl. Opt. 32(11), 1939-1849 (1993). [CrossRef]
  27. P. F. Lou, Y. J. Chao, M. A. Sutton, and W. H. Peters, "Accurate measurement of three-dimensional deoformations in deformable and rigid bodies using computer vision," Exp. Mech. 33(3), 123-132 (1993). [CrossRef]
  28. matlab 7.0, The MathWorks, Incorporated, http://www.mathworks.com, 2006.
  29. C. G. Broyden, "The convergence of a class of double-rank minimization algorithms," J. Inst. Math. Appl. , 76-90 (1970). [CrossRef]
  30. C. H. Reinsch, "Smoothing by spline functions," Numer. Math. 10, 177-183 (1967). [CrossRef]
  31. P. Craven and G. Wahba, "Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross validation," Numer. Math. 31, 377-405 (1979). [CrossRef]
  32. R. C. Gonzalez, R. E. Woods, and S. L. Eddins, Digital image processing using matlab (Prentice Hall, 2004), 1st edition.
  33. R. J. Butcher, C.-E. Rousseau, and H. V. Tippur, "A functionally graded particulate composite: Preparation, measurements and failure analysis," Acta Mater. 47(1), 259-268 (1998). [CrossRef]
  34. M. J. Maleski, M. S. Kirugulige, and H. V. Tippur, "A method for measuring mode-I crack tip constraint under static and dynamic loading conditions," Exp. Mech. 44(5), 522-532 (2004). [CrossRef]
  35. H. M. Westergaard, "Bearing pressure and cracks," J. Appl. Mech. 6, A49-A53 (1939).
  36. T. Nishioka and S. N. Atluri, "Path independent integrals, energy release rates, and general solutions of near-tip fields in mixed-mode dynamic fracture mechanics," Eng. Fract. Mech. 18(1), 1-22 (1983). [CrossRef]
  37. J. W. Dally and W. F. Riley, Experimental Stress Analysis, 4th ed., College House Enterprises, LLC (2005).
  38. K. Jayadevan, R. Narasimhan, T. Ramamurthy, and B. Dattaguru, "A numerical study in dynamically loaded fracture specimens," Int. J. Solids Struct. 38(5), 4987-5005 (2001). [CrossRef]

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