Abstract
In this work the efficacy of using digital image correlation to determine stress intensity factors for a crack emanating from a fastener hole has been investigated. To this end a fatigue crack was grown in pure mode I from a 50 mm diameter hole in an Al 7010 alloy plate test-piece. This crack was then loaded elastically under several combinations of mixed mode (I + II) displacements. In each case, images of the sample surface before and after the deformation were recorded using a high resolution digital camera. The surface preparation consisted only of scratching the surface lightly with silicon carbide abrasive paper. The crack location and resulting displacements were then calculated using digital image correlation. The analytical displacement fields for a traction free crack under arbitrary loading conditions based on the Muskhelishvili’s complex function approach were fitted to the experimentally measured displacement fields and the mixed mode stress intensity factor was determined in each case. Good agreement with the nominal applied values was obtained. The uncertainty of the crack tip position has a major influence on the accuracy of the stress intensity factors and so the Sobel edge finding filter was successfully applied to experimental displacement fields to establish precisely the crack tip location.
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References
Sanford RJ (1989) Determining fracture parameters with full-field optical methods. Exp Mech 293:241–247.
Olden EJ, Patterson EA (2004) Optical analysis of crack tip stress fields: A comparative study. Fatigue Fract Eng Mater Struct 277:623–636.
Chu T, Ranson WF, Sutton MA, Peters WH (1985) Applications of digital-image-correlation to experimental mechanics. Exp Mech 253:232–244.
McNeill SR, Peters WH, Sutton MA (1987) Estimation of stress intensity factors by digital image correlation. Eng Fract Mech 281:101–112.
Barker DB, Sanford RJ, Chona R (1985) Determining K and related stress-field parameters from displacement fields. Exp Mech 254:399–407.
Réthoré J, Gravouil A, Morestin F, Combescure A (2005) Estimation of mixed mode stress intensity factors using digital image correlation and an interaction integral. Int J Fract 132:65–79.
Yoneyama S, Morimoto Y, Takashi M (2006) Automatic evaluation of mixed-mode stress intensity factors utilizing digital image correlation. Strain 42:21–29.
Yoneyama S, Ogawa T, Kobayashi Y (2007) Evaluating mixed mode stress intensity factors from full-field displacement fields obtained by optical methods. Eng Fract Mech 74:1399–1412.
Roux S, Hild F (2006) Stress intensity factor measurements from digital image correlation: post-processing and integrated approaches. Int J Fract 140:141–157.
Hamam R, Hild F, Roux S (2007) Strain intensity factor gauging by digital image correlation: application in cyclic fatigue. Strain 433:181–192.
Quinta da Fonseca J, Mummery PM, Withers PJ (2005) Full-field strain mapping by optical correlation of micrographs acquired during deformation. J Microsc 218:9–21.
Clocksin WF, Quinta da Fonseca J, Withers PJ, Torr PHS (2002) Image processing issues in digital strain mapping. Proc SPIE 4790:384–395.
Muskhelishvili NI (1977) Some basic problems of the mathematical theory of elasticity, 4th edn. Noordhoff, Leiden.
Golub GH, Van Loan CF (1996) Matrix computations, 3rd edn. John Hopkins University Press, Baltimore.
Sonka M, Hlavac V, Boyle R (1993) Image processing, analysis and machine vision. Chapman and Hall, London.
Sih GC, Paris PC, Erdogan F (1962) Crack-tip, stress-intensity factors for plane extension and plate bending problems. J Appl Mech 29:306–312.
Otsuka A, Tohgo K, Matsuyama H (1987) Fatigue crack initiation and growth under mixed mode loading in Aluminium alloys 2017-T3 and 7075-T6. Eng Fract Mech 285/6:721–732.
LaVision GmbH (1999) PIV Software Manual: DaVis. Gottingen, Germany. www.lavision.de.
The MathWorks (2001) Image Processing Toolbox User’s Guide, For Use With Matlab, Version 3.0
Lopez-Crespo P (2007) PhD thesis, University of Sheffield, Sheffield, England
Murakami Y (ed) (1987) In: Stress intensity factors handbook. Pergamon, Oxford.
Lopez-Crespo P, Shterenlikht A, Patterson EA, Yates JR, Withers PJ (2006) Towards real-time crack monitoring using image correlation. Proc. SEM Conf. Exptl. & Appl. Mech., St. Louis, MO., paper no.85
Higham NJ (1996) Accuracy and stability of numerical algorithms. Society for Industrial and Applied Mathematics, Philadelphia.
Press WH, Teukolsky SA, Vetterling WT, Flannery BP (1992) Numerical recipes in FORTRAN: the art of scientific computing, 2nd edn. Cambridge University Press, Cambridge.
Tong J, Yates JR, Brown MW (1995) Model for sliding mode crack closure Part I: theory for pure mode II loading and Part II: mixed mode I and II loading and application. Eng Fract Mech 524:599–623.
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The authors would like to acknowledge financial support from the Engineering and Physical Sciences Research Council (EPSRC), UK, through grants no. GR/S18038/01 and GR/S18045/01.
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López-Crespo, P., Burguete, R.L., Patterson, E.A. et al. Study of a Crack at a Fastener Hole by Digital Image Correlation. Exp Mech 49, 551–559 (2009). https://doi.org/10.1007/s11340-008-9161-1
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DOI: https://doi.org/10.1007/s11340-008-9161-1