Technical Papers
Jul 1, 2014

Peridynamics-Based Digital Image Correlation Algorithm Suitable for Cracks and Other Discontinuities

Publication: Journal of Engineering Mechanics
Volume 141, Issue 2

Abstract

This work presents a novel approach to circumventing the difficulties associated with using digital image correlation (DIC) for problems that involve discontinuities like fracture and fragmentation. The proposed method provides a simple means to combine traditional DIC approaches with peridynamics to achieve full-field displacements, even in the vicinity of cracks. In regions where DIC is accurate and effective, the displacement field is determined using a traditional approach. In discontinuous regions, the displacement field is solved for using peridynamics. This study shows that this method can be used successfully for investigating damage in materials such as nuclear graphite and fiber-RC (FRC). It also shows that the proposed method alleviates nonphysical strains in the vicinity of cracks, common to alternative approaches, which detrimentally degrade the quality of postprocessed quantities of interest such as fracture toughness.

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Acknowledgments

This work was supported by the Institute for Structural Engineering at Stellenbosch University. Their support is gratefully acknowledged. The author thanks Professor Billy Boshoff for providing the images used for the examples related to FRC. The author also thanks Dr. Thorsten Becker for the data related to nuclear graphite and many helpful discussions on this topic. Lastly, Johan Conradie and Matt Molteno are thanked for their assistance in obtaining the experimental results for nuclear graphite. Sandia National Laboratories is a multiprogram laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. DOE’s National Nuclear Security Administration under contract DE-AC04-94AL85000.

References

ASTM. (2000). “Standard test method for measurement of fatigue crack growth rates.” E647-00, West Conshohocken, PA.
Barron, J. L., Fleet, D. J., and Beauchemin, S. S. (1994). “Performance of optical flow techniques.” Int. J. Comput. Vis., 12(1), 43–77.
Chu, T. C., Ranson, W. F., and Sutton, M. A. (1985). “Applications of digital-image-correlation techniques to experimental mechanics.” Exp. Mech., 25(3), 232–244.
Hild, F., and Roux, S. (2006). “Digital image correlation: From displacement measurement to identification of elastic properties—A review.” Strain, 42(2), 69–80.
Lewis, J. P. (1995). “Fast normalized cross-correlation.” Proc., Vision Interface ’95, Canadian Image Processing and Pattern Recognition Society, Montreal, 120–123.
McNeill, S. R., Peters, W. H., and Sutton, M. A. (1987). “Estimation of stress intensity factor by digital image correlation.” Eng. Fract. Mech., 28(1), 101–112.
Pan, B., Qian, K., Xie, H., and Asundi, A. (2009). “Two-dimensional digital image correlation for in-plane displacement and strain measurement: A review.” Meas. Sci. Technol., 20(6), 062001.
Poissant, J., and Barthelat, F. (2010). “A novel ‘subset splitting’ procedure for digital image correlation on discontinuous displacement fields.” Exp. Mech., 50(3), 353–364.
Réthoré, J., Gravouil, A., Morestin, F., and Combescure, A. (2005). “Estimation of mixed-mode stress intensity factors using digital image correlation and an interaction integral.” Int. J. Fract., 132(1), 65–79.
Réthoré, J., Roux, S., and Hild, F. (2007). “From pictures to extended finite elements: Extended digital image correlation (X-DIC).” C. R. Mec., 335(3), 131–137.
Roux, S., Réthoré, J., and Hild, F. (2009). “Digital image correlation and fracture: An advanced technique for estimating stress intensity factors of 2D and 3D cracks.” J. Phys. D: Appl. Phys., 42(21), 214004.
Silling, S. A. (2000). “Reformulation of elasticity theory for discontinuities and long-range forces.” J. Mech. Phys. Solids, 48(1), 175–209.
Silling, S. A., and Askari, E. (2005). “A meshfree method based on the peridynamic model of solid mechanics.” Comp. Struct., 83(17–18), 1526–1535.
Silling, S. A., and Lehoucq, R. B. (2008). “Convergence of peridynamics to classical elasticity theory.” J. Elast., 93(1), 13–37.
Sutton, M. A., Orteu, J. J., and Schreier, H. (2009). Image correlation for shape, motion and deformation measurements: Basic concepts, theory and applications, Springer, New York.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 141Issue 2February 2015

History

Received: Feb 20, 2014
Accepted: May 29, 2014
Published online: Jul 1, 2014
Published in print: Feb 1, 2015

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Authors

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D. Z. Turner [email protected]
Dept. of Civil Engineering, Stellenbosch Univ., Stellenbosch 7602, South Africa; and Multiscale Science, Sandia National Laboratories, P.O. Box 5800, Albuquerque, NM 87185. E-mail: [email protected]

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