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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Glenn D. Boreman
  • Vol. 44, Iss. 34 — Dec. 1, 2005
  • pp: 7357–7363

Finite element formulation for a digital image correlation method

Yaofeng Sun, John H. L. Pang, Chee Khuen Wong, and Fei Su  »View Author Affiliations


Applied Optics, Vol. 44, Issue 34, pp. 7357-7363 (2005)
http://dx.doi.org/10.1364/AO.44.007357


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Abstract

A finite element formulation for a digital image correlation method is presented that will determine directly the complete, two-dimensional displacement field during the image correlation process on digital images. The entire interested image area is discretized into finite elements that are involved in the common image correlation process by use of our algorithms. This image correlation method with finite element formulation has an advantage over subset-based image correlation methods because it satisfies the requirements of displacement continuity and derivative continuity among elements on images. Numerical studies and a real experiment are used to verify the proposed formulation. Results have shown that the image correlation with the finite element formulation is computationally efficient, accurate, and robust.

© 2005 Optical Society of America

OCIS Codes
(100.2960) Image processing : Image analysis
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: January 27, 2005
Revised Manuscript: April 12, 2005
Manuscript Accepted: April 14, 2005
Published: December 1, 2005

Citation
Yaofeng Sun, John H. L. Pang, Chee Khuen Wong, and Fei Su, "Finite element formulation for a digital image correlation method," Appl. Opt. 44, 7357-7363 (2005)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-44-34-7357


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References

  1. W. H. Peters, W. F. Ranson, “Digital imaging techniques in experimental stress analysis,” Opt. Eng. 21, 427–432 (1982). [CrossRef]
  2. M. A. Sutton, W. J. Wolters, W. H. Peters, W. F. Ranson, S. R. McNel, “Determination of displacements using an improved digital correlation method,” Image Vision Comput. 1, 133–139 (1983). [CrossRef]
  3. T. C. Chu, W. F. Ranson, M. A. Sutton, W. H. Peters, “Applications of digital image correlation techniques to experimental mechanics,” Exp. Mech. 25, 232–244 (1985). [CrossRef]
  4. H. A. Bruck, S. R. McNeill, M. A. Sutton, W. H. Peters, “Digital image correlation using Newton–Raphson method of partial differential correction,” Exp. Mech. 29, 262–267 (1989). [CrossRef]
  5. H. Lu, G. Vendroux, W. G. Knauss, “Surface deformation measurements of a cylindrical specimen by digital image correlation,” Exp. Mech. 37, 433–439 (1997). [CrossRef]
  6. C. C.-B. Wang, J. M. Deng, G. A. Ateshian, C. T. Hung, “An automated approach for direct measurement of two-dimensional strain distributions within articular cartilage under unconfined compression,” J. Biomech. Eng. 124, 557–567 (2002). [CrossRef] [PubMed]
  7. J. S. Lyons, J. Liu, M. A. Sutton, “High-temperature deformation measurements using digital-image correlation,” Exp. Mech. 36, 64–70 (1996). [CrossRef]
  8. H. Lu, “Applications of digital speckle correlation to microscopic strain measurement and materials property characterization,” J. Electron. Packaging 120, 275–279 (1998). [CrossRef]
  9. D. Vogel, R. Kühnert, M. Dost, B. Michel, “Determination of packaging material properties utilizing image correlation techniques,” J. Electron. Packaging 124, 345–351 (2002). [CrossRef]
  10. U. Eisaku, I. Tadashi, “Measurement of deformation of epoxy resin plates with an embedded SMA wire using digital image correlation,” Int. J. Mod. Phys. B 17, 1750–1755 (2003). [CrossRef]
  11. D. J. Segalman, D. B. Woyak, R. E. Rowlands, “Smooth spline-like finite-element differentiation of full-field experimental data over arbitrary geometry,” Exp. Mech. 19, 429–437 (1979). [CrossRef]
  12. Z. Feng, R. E. Rowlands, “Continuous full-field representation and differentiation of three-dimensional experimental vector data,” Comput. Struct. 26, 979–990 (1987). [CrossRef]
  13. G. Vendroux, W. G. Knauss, “Submicron deformation field measurements: Part 2. Improved digital image correlation,” Exp. Mech. 38, 86–92 (1998). [CrossRef]
  14. H. Lu, P. D. Cary, “Deformation measurements by digital image correlation: implementation of a second-order displacement gradient,” Exp. Mech. 40, 393–400 (2000). [CrossRef]
  15. O. C. Zienkiewicz, R. L. Taylor, “The Finite Element Method,” 5th ed. (Butterworth-Heinemann, 2000).
  16. Wang Xucheng, Shao Min, “The Basis of Finite Element Method and Numerical Method,” 2nd ed. (Tsinghua University Publishing House, 1997), in Chinese.
  17. J. H. L. Pang, Shi Xunqing, Zhang Xueren, Liu Qinjun, “Application of digital speckle correlation to micro-deformation measurement of a flip chip assembly,” in Proceedings of IEEE Conference on Electronic Components and Technology (Institute of Electrical and Electronics Engineers, 2003), pp. 926–932.

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