An extended and integrated digital image correlation technique applied to the analysis of fractured samples
The equilibrium gap method as a mechanical filter
Keywords:
digital image correlation, equilibrium gap method, extended finite element methodAbstract
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,