An extended and integrated digital image correlation technique applied to the analysis of fractured samples

The equilibrium gap method as a mechanical filter

Authors

  • Julien Réthoré LMT-Cachan (ENS Cachan/CNRS/Université Paris 6/UniverSud Paris) 61 av. du Président Wilson, F-94230 Cachan
  • Stéphane Roux LMT-Cachan (ENS Cachan/CNRS/Université Paris 6/UniverSud Paris) 61 av. du Président Wilson, F-94230 Cachan
  • François Hild LMT-Cachan (ENS Cachan/CNRS/Université Paris 6/UniverSud Paris) 61 av. du Président Wilson, F-94230 Cachan

Keywords:

digital image correlation, equilibrium gap method, extended finite element method

Abstract

To reduce the measurement uncertainty, a measurement technique is proposed for estimating full displacement fields by complementing digital image correlation with an additional penalization on the distance between the estimated displacement field and its projection onto the space of elastic solutions. The extended finite element method is used for inserting discontinuities independently of the underlying mesh. An application to the brittle fracture of a silicon carbide specimen is used to illustrate the application. To complete the analysis, the crack tip location and the stress intensity factors are estimated. This allows for a characterization of the measurement and identification procedure in terms of uncertainty.

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References

Anbanto-Bueno J., Lambros J., “Investigation of crack growth in functionally graded materials

using digital image correlation”, Engineering Fracture Mechanics, vol. 69, p. 1695-1711,

Besnard G., Hild F., Roux S., “‘Finite-element’ displacement fields analysis from digital images:

Application to Portevin-Le Châtelier bands”, Experimental Mechanics, vol. 46, no. 6,

p. 789-803, 2006.

Claire D., Hild F., Roux S., “A finite element formulation to identify damage fields: The equilibrium

gap method”, International Journal for Numerical Methods in Engineering, vol. 61,

p. 189-208, 2004.

Forquin P., Rota L., Charles Y., Hild F., “A method to determine the toughness scatter of brittle

materials”, International Journal of Fracture, vol. 125, no. 1, p. 171-187, 2004.

Hild F., Roux S., “Digital image correlation: from displacement measurement to identification

of elastic properties–A review”, Strain, vol. 42, p. 69-80, 2006.

Irwin G., “Analysis of the stresses and strains near the end of a crack traversing a plate”, ASME

Journal Applied Mechanics, vol. 24, p. 361-364, 1957.

McNeill S., Peters W., Sutton M., “Estimation of stress intensity factor by digital image correlation”,

Engineering Fracture Mechanics, vol. 28, no. 1, p. 101-112, 1987.

Moës N., Dolbow J., Belytschko T., “A finite element method for crack growth without remeshing”,

International Journal for Numerical Methods in Engineering, vol. 46, no. 1, p. 133-

, 1999.

Réthoré J., Gravouil A., Morestin F., Combescure A., “Estimation of mixed-mode stress intensity

factors using digital image correlation and an interaction integral”, International

Journal of Fracture, vol. 132, no. 1, p. 65-79, 2005.

Réthoré J., Hild F., Roux S., “Extended digital image correlation with crack

shape optimization”, International Journal for Numerical Methods in Engineering,

http://dx.doi.org/10.1002/nme.2070, 2007.

Réthoré J., Roux S., Hild F., “Noise-robust Stress Intensity Factor Determination

from Kinematic Field Measurements”, Engineering Fracture Mechanics,

http://www.sciencedirect.com/science/journal/00137944, 2007.

Roux S., Hild F., “Stress intensity factor measurement from digital image correlation: postprocessing

and integrated approaches”, International Journal of Fracture, vol. 140, no. 1-4,

p. 141-157, 2006.

Sutton M., McNeill S., Helm J., Chao Y., Advances in two-dimensional and three-dimensional

computer vision, in “Photomechanics”, Springer, p. 323-372, 2000.

Williams M., “On the stress distribution at the base of a stationary crack”, ASME Journal Applied

Mechanics, vol. 24, p. 109-114, 1957.

Zi G., Belytschko T., “New crack-tip elements for XFEMand applications to cohesive cracks”,

International Journal for Numerical Methods in Engineering, vol. 57, no. 15, p. 2221-2240,

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Published

2009-06-03

How to Cite

Réthoré, J. ., Roux, S. ., & Hild, F. . (2009). An extended and integrated digital image correlation technique applied to the analysis of fractured samples: The equilibrium gap method as a mechanical filter. European Journal of Computational Mechanics, 18(3-4), 285–306. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/1753

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